Use 3.14 for and round to the nearest tenth. A circle has a radius of 6 inches. What is its area

Answers

Answer 1

Answer:

113.0 inches squared

Step-by-step explanation:

The area of a circle with radius r is given as;

[tex]Area=pi*r*r[/tex]

We plug in the radius given and solve for the area;

[tex]Area=3.14*6*6\\Area=113.04[/tex]


Related Questions

Please help! :)

Solve for x to the nearest tenth.

X^2+x-5=0

Answers

Answer:

1.8, -2.8

Step-by-step explanation:

1.8, -2.8 in decimal form rounded to the nearest tenth.

In quadratic form its originally [tex]x=\frac{-1+\sqrt{21} }{2} ,\frac{-1-\sqrt{21} }{2}[/tex]

Hope this helps

Hello any help on this question would help. Can answer be in points(x,y)

Answers

Answer: The line that passes through the points  (0,1) and  (-7,0). Observe the graph attached.

Step-by-step explanation:

By definition, a line intersects the y-axis when the value of "x" is zero ([tex]x=0[/tex]), then if the y-intercept  is 1, then the point where the line intersects the y-axis is:

(0,1)

By definition, a line intersects the x-axis when the value of "y" is zero ([tex]y=0[/tex]), then if the x-intercept  is -7, then the point where the line intersects the x-axis is:

(-7,0)

Therefore, now you know this, you can graph a line that passes through the points  (0,1) and  (-7,0). Observe the graph attached.

Answer:

Check the attached graph

Step-by-step explanation:

Given that y-intercept is 1.

That means graph passes through the point (0,1).

Given that x-intercept is -7.

That means graph passes through the point (-7,0).

Now we need to graph the line using above information. So begin by graphing both points .

Now draw a line joining both points to get the final graph.

Simplify the expression 5xy^2(3+ 2x) - 6xy(4xy + 3y)

Answers

It’s 4xy^2(3-x) I think

Find the solutions to the equation below. Check all that apply. 30x^2-26x+4=0
A.x=1/2
B.x=1/5
C.x=4/5
D.x=1/3
E.x=3/5
F.x=2/3

Answers

Answer:

B. x = 1/5F. x = 2/3

Step-by-step explanation:

[tex]30x^2-26x+4=0\\\\30x^2-20x-6x+4=0\\\\10x(3x-2)-2(3x-2)=0\\\\(3x-2)(10x-2)=0\iff3x-2=0\ \vee\ 10x-2=0\\\\3x-2=0\qquad\text{add 2 to both sides}\\\\3x=2\qquad\text{divide both sides by 3}\\\\x=\dfrac{2}{3}\\\\10x-2=0\qquad\text{add 2 to both sides}\\\\10x=2\qquad\text{divide both sides by 10}\\\\x=\dfrac{2:2}{10:2}\\\\x=\dfrac{1}{5}[/tex]

A five pound bag of apples costs $3.45. What is the unit cost of apples

Answers

Answer: Assuming a unit of apples is one pound, the answer is .69 cents

Step-by-step explanation:

3.45 / 5 = .69

Which of the following are the factors of m2 – 14m + 48? A. (m + 6)(m + 8) B. (m – 12)(m + 4) C. (m – 12)(m – 4) D. (m – 6)(m – 8)

Answers

For this case we must factor the following expression:

[tex]m ^ 2-14m + 48[/tex]

We must look for two numbers that when multiplied give as a result "48", and when summed, give as a result "-12". These numbers are:

-6 and -8

[tex]-6 * -8 = 48\\-6-8 = -14[/tex]

So, we have:

[tex](m-6) (m-8)[/tex]

ANswer:

Option D

Answer:

Step-by-step explanation:

DDDDDDDDDDDDDDDDDD

PLSS HELP asap thank you

Answers

Answer:

68 - C = m

If he completes 33 it means :

c = 33

Substituting this in the equation we have :

m > 68 - 33

m > 35

Answer:

I think the first one is 68-c=m and the 2nd one is 35

Step-by-step explanation:

Jeez i hope im right i had to think really hard for some reason. I havent done this is a while >.<

Harold took a total 8 quizzes over the course of 2 weeks. How many weeks of school will Harold have to attend this quarter before he will have taken a total of 20 quizzes?

Answers

Answer:

5

Step-by-step explanation:

8 quizzes / 2 weeks = 20 quizzes / x weeks

Cross multiply:

8x = 40

Divide:

x = 5

Harold will have to attend 5 weeks.

A hyperbolic mirror can be used to take panoramic photos, if the camera is pointed toward the mirror
with the lens at one focus of the hyperbola. Write the equation of the hyperbola that can be used to
model a mirror that has a vertex 4 inches from the center of the hyperbola and a focus 1 inch in front of
the surface of the mirror. Assume the mirror has a horizontal transverse axis and the hyperbola is
centered at (0, 0).

Answers

Answer:

The equation of the hyperbola is x²/16 - y²/9 = 1

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with  

  center (0 , 0) and transverse axis parallel to the x-axis is

  x²/a² - y²/b² = 1

- The length of the transverse axis is 2a

- The coordinates of the vertices are (±a , 0)

- The length of the conjugate axis is 2b

- The coordinates of the co-vertices are (0 , ±b)

- The coordinates of the foci are (± c , 0),  

- The distance between the foci is 2c where c² = a² + b²

- The distance between the vertex and the focus in-front of it is c - a

* Now lets solve the problem

- The distance from a vertex to the center of the mirror

∵ The vertex of the mirror is (a , 0)

∵ The distance between a vertex and the center of the mirror

  is 4 inches

∴ a = 4

∵ The distance between the vertex and a focus in front of  the surface

  of the mirror is 1

∵ The distance between the vertex and the focus in-front of it is c - a

∴ c - a = 1

∴ c - 4 = 1 ⇒ add 4 to the both sides

∴ c = 5

- The mirror has a horizontal transverse axis and the hyperbola is

 centered at (0, 0)

∴ The equation of the hyperbola is x²/a² - y²/b² = 1

- Lets find b from a and c

∵ c² = a² + b²

∵ c = 5 and a = 4

∴ (5)² = (4)² + b²

∴ 25 = 16 + b² ⇒ subtract 16 from both sides

∴ 9 = b² ⇒ take √ for both sides

∴ b = ±3

- Lets write the equation

∴ x²/(4)² - y²/(3)² = 1

∴ x²/16 - y²/9 = 1

* The equation of the hyperbola is x²/16 - y²/9 = 1

The distance of the focus from the center is the sum of the distance from

the focus to the surface and the vertex distance.

Correct response:

[tex]The \ equation \ of \ the \ hyperbola \ that \ models \ the \ mirror \ is \ \underline{\dfrac{x^2}{16} - \dfrac{y^2}{9} = 1}[/tex]

Details of the method used to find the equation

Given:

Distance of the vertex from the center = 4 inches

Distance of the focus from the mirror surface = 1 inches

Coordinates of the center of the mirror = (0, 0)

Required:

To write the equation of the hyperbola that can be used to model the mirror

Solution:

The equation of an hyperbola having an horizontal transverse axis is presented as follows;

[tex]\mathbf{\dfrac{(x-h)^2}{a^2} - \dfrac{(y-k)^2}{b^2}} = 1[/tex]

Where;

(h, k) = The coordinate of the center

a = Center to vertex distance

b² = c² - a²

Where;

c = The from the center to the vertex

Therefore;

a = 4

(h, k) = (0. 0)

c = 4 + 1 = 5

b² = 5² - 4² = 9

b = √9 = 3

The equation of the hyperbola is therefore;

[tex]\dfrac{(x - 0)^2}{4^2} - \dfrac{(y - 0)^2}{3^2} = \underline{ \dfrac{x^2}{16} - \dfrac{y^2}{9} = 1}[/tex]

Learn more about the equation of a hyperbola here:

https://brainly.com/question/9076741

How many points does the graph of the function below intersect the x-axis? y=9x^2 -12x+4

Answers

Answer:

One point:  (2/3, 0)

Step-by-step explanation:

The fastest way to determine this is to find the discriminant, b^2-4ac:

discriminant = (-12)^2 - 4(9)(4) = 144 - 144 = 0

The rule here states that if the discriminant is 0, the function has two real, equal roots.  Those roots are

       -(-12) ± √0

x =   ---------------- = 12/18, or 2/3.

             2(9)

The graph touches the x-axis at x = 2/3, but does not cross it.  In other words, the graph intersects the x-axis at only one x value:  2/3.

x = ------------------

The graph of the function y = 9x² - 12x + 4 intersect the x-axis at [tex]x = \frac{2}{3}[/tex] only.

What is x-intercepts ?

The x-intercepts are the points where the graph intersects the x-axis. The vertex is the point that defines the minimum or maximum of a parabola.

We have,

y = 9x² - 12x + 4

Now,

So, to get the x-intercept,

Put y = 0,

i.e.

0 = 9x² - 12x + 4

Now,

Using the mid term splitting method,

0 = 9x² - 12x + 4

0 = 9x² - 6x - 6x + 4

0 = 3x(3x - 2) -23(x - 2)

i.e.

0 = (3x - 2) (3x - 2)

Now,

3x - 2 = 0

⇒ [tex]x = \frac{2}{3}[/tex]

And,

Now,

3x - 2 = 0

⇒ [tex]x = \frac{2}{3}[/tex] ,

So,

The x -intercept is only at one point, i.e. [tex]x = \frac{2}{3}[/tex].

Hence, we can say that the graph of the function y = 9x² - 12x + 4 intersect the x-axis at [tex]x = \frac{2}{3}[/tex] only.

To know more about x-intercept click here

https://brainly.com/question/13054362

#SPJ2

Find the average rate of change between f(-7) and f(-1) in the function f(x)=x^2+2x -8

Answers

Solve the equation by replacing x with -7 and then -1.

Then subtract the two to find the difference and divide that by the difference between -7 and -1.

f(-7) = -7^2 + 2(-7) -8 = 49 -14 -8 = 27

f(-1) = -1^2 + 2(-1) -8 = 1 -2 - 8 = -9

Difference between 27 and -9 = -36

Difference between -1 and -7 = -6

Rate of change = -36 /-6 = 6

Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on. He continues to double his savings each day. Find the amount that he will save on the fifteenth day.
Question 3 options:

$16,384

$29

$32,768

$8192

Answers

Answer:

$16,384

Step-by-step explanation:

The amount of money Nadir saves increases exponentially by a factor of 2. If you keep multiplying each previous number by 2 until you get to the 15th number, (2*2, 4*2, 8*2, 16*2), you will get 16,384.

Answer:

$16,384

Step-by-step explanation:

Let's find the general equation for his savings:

The first day he saves $1 = [tex]2^{0}[/tex]

The second day, $2 = 1*2 = [tex]2^{1}[/tex]

The third day, $4 = 1*2*2 = [tex]2^{2}[/tex]

The fourth day, $8 = 1*2*2*2 = [tex]2^{3}[/tex]

In general, in the n-th day, he saves [tex]2^{n-1}[/tex]

With this, we can calculate the amount that he will save on the fifteenth day:

[tex]2^{15-1} = 2^{14} = \$16,384[/tex]  

distance between -3 1/4 and -6 1/2

Answers

ANSWER

[tex]3 \frac{1}{4} [/tex]

EXPLANATION

We want to find the distance between

[tex] - 3 \frac{1}{4} [/tex]

and

[tex] - 6 \frac{1}{2} [/tex]

This numbers can be located on the number line.

The distance between them is the absolute value of the difference between the two numbers.

[tex] | - 6 \frac{1}{2} - - 3 \frac{1}{4} | [/tex]

[tex] | - \frac{13}{4} | [/tex]

[tex] = \frac{13}{4} [/tex]

[tex] = 3 \frac{1}{4} [/tex]

Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to scale

Answers

Answer:

The best possible answer is A

Step-by-step explanation:

Answer:

Option A is correct that is Surface Area of the Cylinder is 1659 in.²

Step-by-step explanation:

Given:

Radius of the Cylinder , r = 11 in.

Height of the Cylinder , h = 13 in.

We have to find the Surface Area of Cylinder to the nearest Whole number.

We know that,

Surface Area of the Cylinder = 2πr(r+h)

                                                 = 2 × 22/7 × 11 ( 11 + 13 )

                                                 = 2 × 22/7 × 11 × 24

                                                 = 1659.42 in.²

                                                 = 1659 in.²  (nearest whole number)

Therefore, Option A is correct that is Surface Area of the Cylinder is 1659 in.²

1) What is the slope of the trend line ?
2) what is the y-intercept for the trend line ? What is the real world meaning of this point?

Answers

Answer:

slope m=0.5, y-intercept b=5, the price of a 0 page book starts off at 5 and increases 0.5 every 50 pages

Step-by-step explanation:

point slope formula

[tex]y = mx + b[/tex]

choose a point on the line, I chose (2.00,6.00)

and b is the y-intercept at (0,5)

then plug those numbers in

[tex]6.00 = m2.00 + 5.00[/tex]

simplify & isolate the variable

[tex]6.00 - 5.00 = m2.00 + 5.00 - 5.00 [/tex]

[tex]1 = m2[/tex]

[tex]1 \div 2 = m2 \div 2[/tex]

solve for m

[tex]0.1 = m[/tex]

the y intercept is were the line crosses the y axis.

the y axis represents cost in dollars, the x axis represents number of pages

PLEASE ANSWER RIGHT AWAY

Answers

ANSWER

The explicit formula is :

[tex]a_n = 8+ 3(n - 1)[/tex]

EXPLANATION

The given sequence is

8,11,14,17,20,23,26,...

The first term is

[tex]a_1=8[/tex]

The common difference is

d=11-8

d=3

The explicit formula is given by:

[tex]a_n = a_1 + d(n - 1)[/tex]

We substitute the values to get,

[tex]a_n = 8+ 3(n - 1)[/tex]

Which of the following is the conjugate of 8 + 3r

Answers

Answer:

8-3r

Step-by-step explanation:

we know that

The conjugate is where we change the sign in the middle of two terms

In this problem

we have

8+3r

so

The conjugate is

8-3r

Answer:

8-3sqrt

Step-by-step explanation:

How do I ace my algebra eoc?

Answers

Answer:

The EOC is an exam that is more logical, what I can recommend is to study the packages the teacher gave you and also study at USATESTPREP that can help you a lot

7 and 1/2 divided by 1

Answers

If you divide any number by 1, the answer is itself. The answer is 7 and 1/2.

Hope this helps!

Answer:

7 1/2

Step-by-step explanation:

Take it like the following scenario.

There are 7 1/2 M&M's left in a bag.

Neither of your friends want any so you get to have all of them.

So, the 7 1/2 M&M's divided by one person is 7 12 since all of the M&M's go to you.

[Rememember that any number you divide by 1, the answer is itself

Ex: 4 divided by 1 = 4]

I hope this helps!

A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
The height of the container is ___ centimeters. If its diameter and height were both doubled, the container's capacity would be _____times its original capacity.

Answers

Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.

Step-by-step explanation:

The volume of a cone can be calculated with this formula:

[tex]V=\frac{\pi r^2h}{3}[/tex]

Where "r" is the radius and "h" is the height.

We know that the radius is half the diameter. Then:

[tex]r=\frac{12cm}{2}=6cm[/tex]

We know the volume and the radius of the conical container, then we can find "h":

[tex]120\pi cm^3=\frac{\pi (6cm)^2h}{3}\\\\(3)(120\pi cm^3)=\pi (6cm)^2h\\\\h=\frac{3(120\pi cm^3)}{\pi (6cm)^2}\\\\h=10cm[/tex]

The diameter and height doubled are:

[tex]d=12cm*2=24cm\\h=10cm*2=20cm[/tex]

Now the radius is:

[tex]r=\frac{24cm}{2}=12cm[/tex]

And the container capacity is

[tex]V=\frac{\pi (12cm)^2(20cm)}{3}=960\pi cm^3[/tex]

Then, to compare the capacities, we can divide this new capacity by the original:

 [tex]\frac{960\pi cm^3}{120\pi cm^3}=8[/tex]

Therefore,  the container's capacity would be 8 times its original capacity.

Answer:

i can’t see others answers

Jason and Henry go to the movie theater and purchase refreshments for their friends.

Jason spends a total of $66.75 on 12 drinks and 1 bag of popcorn.

Henry spends a total of $82.50 on 3 drinks and 10 bags of popcorn.

Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.

Using these equations, determine and state the price of a drink, to the nearest cent.


Answers

Answer:

Part 1) The system of equations is equal to

12x+y=66.75

3x+10y=82.50

Part 2) The cost of one drink is $5

Step-by-step explanation:

Part 1) Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn

Let

x----> the price of one drink

y ----> the price of one bag of popcorn

we know that

Jason

12x+y=66.75 -----> equation A

Henry

3x+10y=82.50 -----> equation B

Part 2) Using these equations, determine and state the price of a drink, to the nearest cent

12x+y=66.75 -----> equation A

3x+10y=82.50 -----> equation B

Solve the system of equations by elimination

Multiply the equation A by -10 both sides

-10*(12x+y)=66.75*(-10)

-120x-10y=-667.5 -----> equation C

Adds equation B and C and solve for x

3x+10y=82.50

-120x-10y=-667.5

-----------------------------

3x-120x=82.50-667.5

120x-3x=667.50-82.50

117x=585

x=5

therefore

The cost of one drink is $5

A gas can holds 10 liters of gas. How many cans could we fill with 35 liters of gas?

Answers

Answer:

3 and 1/2

Step-by-step explanation:

because if one can holds 10 liters of gas, three cans would hold 30 because 10 times 3 is 30 plus the extra 5 liters in the remaining can

Answer:

7/10

Step-by-step explanation:

We have  liters of gas, and we need to figure out how many cans we can fill.

Hint #22 / 4

We need to divide the 7 liters by the 10 liters that each can holds.

Help, please!! 88points

Answers

Answer:

7.5 ab and cd

4 bd and ac

Step-by-step explanation:

Answer:

i believe the answer is 7.5 ab and cd, 4 bd and ac

A line segment has endpoints at 3,2 and 2,-3 which reflection will produce an image with endpoints at 3,-2 and 2,3

Answers

Answer:

The reflection is across the x-axis

Step-by-step explanation:

* Lets revise the reflection

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

∴ Its image is (-y , -x)

* Now lets solve the problem

∵ The endpoints of a line segment are (3 , 2) and (2 , -3)

∵ The image of the endpoints after the reflection are (3 , -2) and (2 , 3)

* Lets study the change

# The x-coordinates of the points are 3 and 2

# The x-coordinates of the images are 3 and 2

# The y-coordinates of the points are 2 and -3

# The y-coordinates of the images are -2 and 3

- The change is in the signs of the y-coordinates

∴ The reflection is across the x-axis

when the center line is one solid yellow line and one broken yellow line,who may cross the line to pass

Answers

A. Traffic on the side with the broken yellow line. The dashes signify the “openness” of the ability that the drivers on that side have to pass.

Answer:

A). Traffic on the side with broken yellow line

Step-by-step explanation:

A solid yellow line used in two lane roadways where passing or crossing is strictly prohibited. It is dangerous and may lead to serious accidents while violating this.

                             On the other hand, broken yellow line on the roadways indicates that vehicles moving can pass or cross the road when only it is safe to cross the lane.

Therefore, when the center line is one solid yellow line and one broken yellow line, then the vehicles on the side of the broken lines may cross the line to pass only when it is safe to cross.

Leah has 28 more marbles than Dan. 1/3 of Leah’s marbles is equal to 4/5 of Dan’s marbles. Find the number of marbles Leah has.

Answers

Answer:

Leah has 48 marbles.

Step-by-step explanation:

Represent the number of marbles that each person has by L and D.

Leah has 28 more marbles than Dan:  L = D + 28.

Then (1/3)L = (4/5)D.  Here the LCD is 15, and so multiplying this equation by 15 will remove the fractions:  15(1/3)L = 15(4/5)D.  

Therefore, 5L = 12D, and D = 5L/12.

Then, since L = D + 28,        L = (5/12)L + 28, or

12L = 5L + 336, or

7L = 336, or

L = 336/7 = 48.

Leah has 48 marbles.  That means that Dan has 20 marbles.

The number of marbles Leah has is 48 and Dan is 20 if Leah has 28 more marbles than Dan. 1/3 of Leah’s marbles is equal to 4/5 of Dan’s marbles.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Leah has 28 more marbles than Dan. 1/3 of Leah’s marbles is equal to 4/5 of Dan’s marbles.

Let x be the number of marbles Leah has.

Let y be the number of marbles Dan has.

Leah has 28 more marbles than Dan:  

x = y + 28

(1/3)x = (4/5)y

Solving above two linear equation, we get:

5x = 12y

5(y + 28) = 12y

5y + 140 = 12y

12y - 5y = 140

7y = 140

y = 140/7 = 20

x = 20 + 28 = 48

Thus, the number of marbles Leah has is 48 and Dan is 20 if Leah has 28 more marbles than Dan. 1/3 of Leah’s marbles is equal to 4/5 of Dan’s marbles.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Avery weighs x pounds. Jada weighs 18 pounds more than Avery. Which expression tells how much the two of them weigh together? x + 18 x + x + 18 x + 18 + x + 18 x + x - 18

Answers

Answer:

Second option: [tex]x + x + 18[/tex]

Step-by-step explanation:

You know that "x" represents the Avery's weigth (in pounds).

Let be "y" the weight of Jada in pounds.

Since Jada weighs 18 pounds more than Avery, you can write this expression:

[tex]y=x+18[/tex]

The weight of them together is:

[tex]weight\ together=x+y[/tex]

Substituting, you get:

[tex]weight\ together=x+x+18[/tex]

Therefore, the expression that tells how much the two of them weigh together is the one provided in the second option:

[tex]x + x + 18[/tex]

The area of a rectangle, A = 1 x w is represented by the expression 24x^6y^15 Which could be the dimensions of the
rectangle?

Answers

Answer:

A. 2x^5y^8 and 12xy^7

Step-by-step explanation:

The question is on laws of indices

when we have x^a × x^b = x^(a+b)

Given in the question 24x^6y^15

24 could be 2×12............for the length and width

Then x^6 = x^1 × x^5 = x^(1+5) = x^6

And  y^15 = y^8 ×y^7 = y^(8+7) = y^(15)

Answer:

The correct answer is :[tex]l=2x^5y^8,w = 12xy^7[/tex]

Step-by-step explanation:

Let the dimension of the rectangle be l and w.

A = [tex]24x^6y^{15}[/tex]

[tex]24x^6y^{15}=l\times w[/tex]

A) If the dimension are :

[tex]l=2x^5y^8,w = 12xy^7[/tex]

Area of the rectangle

[tex]= 2x^5y^8\times 12xy^7=24x^6y^{15}=A[/tex]

B) If the dimension are :

[tex]l=6x^2y^3,w = 4x^3y^5[/tex]

Area of the rectangle

[tex]= 6x^2y^3\times 4x^3y^5=24x^5y^{8}\neq A[/tex]

C) If the dimension are :

[tex]l=10x^6y^{15},w = 14x^6y^{15}[/tex]

Area of the rectangle

[tex]= 10x^6y^{15}\times 14x^6y^{15}=140x^{12}y^{30}\neq A[/tex]

D) If the dimension are :

[tex]l=9x^4y^{11},w = 12x^2y^4[/tex]

Area of the rectangle

[tex]= 9x^4y^{11}\times 12x^2y^4=108x^6y^{15}\neq A[/tex]

What is the range of the function f(x)=(x-1)^2 when the domain is {-5,0,5}?

Answers

The range of the function f (x) = (x - 1)² when the domain is {-5,0,5} is,

⇒ {36, 1, 16}

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable

Given that;

The function is,

⇒ f (x) = (x - 1)²

And, domain is {-5,0,5}.

Now, We can find the value of range as;

Put x = - 5 in above function,

⇒ f (x) = (x - 1)²

⇒ f (x) = (- 5 - 1)²

⇒ f (x) = (- 6)²

⇒ f (x) = 36

Put x = 0 in above function,

⇒ f (x) = (x - 1)²

⇒ f (x) = (0 - 1)²

⇒ f (x) = (- 1)²

⇒ f (x) = 1

Put x =  5 in above function,

⇒ f (x) = (x - 1)²

⇒ f (x) = ( 5 - 1)²

⇒ f (x) = ( 4)²

⇒ f (x) = 16

Thus, The range of the function f (x) = (x - 1)² when the domain is {-5,0,5} is,

⇒ {36, 1, 16}

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ3

Factor completely 3x^4 - 3x ^3 - 18x ^2. Which of the following is one of the factors?





Answers

Final answer:

To factor the expression 3x^4 - 3x^3 - 18x^2 completely, factor out the GCF 3x^2, then factor the quadratic expression inside the parentheses (x^2 - x - 6) into (x - 3)(x + 2).

Explanation:

To factor the expression 3x^4 - 3x^3 - 18x^2 completely, we can first factor out the greatest common factor (GCF), which in this case is 3x^2. This gives us 3x^2(x^2 - x - 6). To factor the quadratic expression inside the parentheses, we can use the quadratic formula or factor by grouping. The quadratic expression x^2 - x - 6 can be factored as (x - 3)(x + 2).

Therefore, the completely factored expression is 3x^2(x - 3)(x + 2).

Learn more about Factoring here:

https://brainly.com/question/33624529

#SPJ12

Other Questions
Place each of the following phrases into the correct column within the table.Phrasesgrowing crops in places where major pests don't liveusing beneficial insects to eat harmful insectsusing a rat trap instead of a rodenticidedeveloping drought-resistant tomato plantsUsing beneficial insects or natural oils to repel pestsplanting a different crop every year to fake out the pestskeeping food covered to deter ants and rodentsdeveloping bean plants with a resistance to funguspicking caterpillars off tomato plantsCultivation PracticeBiological ControlCultural ControlGenetic ResistanceNatural ChemicalsAssignment Guidelines:All phrases are used only once. What is Electrostatics How many moles are present in 10.5 grams of NaCl?0.180 mol0.18 mol0.457 mol What is the density of water at 3.98 degrees Celsius? If they were part of the same expression, which of the following would be considered like terms with the given monomial?5m2nA. -3mnB. -m2nC. 5mn2D. 11m2n2 You purchase 4 large pizzas for lunch on the beach.Each one cost 9.50$. How much do u spend on pizza The structure of the periodic table is based on the distribution of A- protons B- electrons in each element. The elements are arranged in horizontal A- periods B- groups Vertical A- periods B- groups The most famous _ was suleiman Punnett squares are used to show possible combinations of alleles or to predict the probability of a trait occurring in offspring. Cats that have coats that are a patchwork of black and orange are called tortoiseshell cats, are typically female, and have genes that code for both black fur (Xo) and orange fur (XO) located on the X chromosomes. Y chromosomes do not code for color in tortoiseshell cats. A female cat that has only orange fur (XOXO) is crossed with a male cat that has only black fur (XoY). How many of the offspring will exhibit tortoiseshell coloring? 1 in 4. 2 in 4. 3 in 4. 4 in 4. Jane had 275 stickers, which she gave to her friends. Each friend got five more stickers than the friend before. If the first friend got 5 stickers, how many friends got stickers from Jane? What series of events and ideological conflicts prompted the cold war? how did the cold war reshape ideas of american freedom? what major domestic policy initiatives did truman undertake? what effects did the anticommunism of the cold war have on american politics and culture? Melissa is at the gym for a leg workout. They first start warming up by squatting with only the squat bar (45 lbs): this is an easy task for her. Then, she goes on to the main part of her workout: she squats 5 repetitions of her maximum load (175 lbs), stop to rest for 60 secs, then do so again, for a total of 5 x 5 repetitions. A. In comparison to lifting 45 lbs, what had to happen in Melissas muscle cells to allow her to lift 175 lbs? B. Because the 175-lbs load is very heavy for Melissa, her coach has trained her to start her squat movement in a very specific position (see picture above). How does this position allow sarcomeres to generate more force? C. Compare the 2 contractions (the one with 45 lbs and the one with 175 lbs): what is the expected difference in terms of latent period and muscle shortening velocity. After her 5th block of 5 repetitions, Melissas coach asks her to perform an extra surprise set, but, despite her best efforts, she can only do 2 repetitions. This is similar to what you observed in PEX-02-04, when you stimulated the muscle at 150 stimuli Salska and colleagues (2008) studied height preferences among dating partners. In their first study, they reviewed Yahoo personals for heterosexual individuals living within 250 miles of Los Angeles, California, and recorded the acceptable range of heights for their dating partners. The following table lists some of the results. Overall, did men or women show greater variability in their responses? Explain.WomenMenPreferencesMSDMSDShortestacceptableheight, inches 68.9 2.660.6 3.7Tallestacceptableheight, inches 75.32.2 69.8 2.7a) Women showed greater variability overall because the standard deviations for women were smaller than for men. b) Women showed greater variability overall because the means for women were larger than for men. c) Men showed greater variability overall because the means for men were smaller than for women.d) Men showed greater variability overall because the standard deviations for men were larger than for women Help me on question 9 city that became center of art world after World War II Debra has to decide on paint colors for her house. There is a 90% chance she will chose gray for the living room. There is a 70% chance she will chose blue for her bedroom and there is a 75% chance she will choose yellow for the kitchen. Given that there is a 62% chance she has both gray and yellow in her house and a 73% chance she has both blue and yellow in her house what is the probability she chooses blue for the bedroom given her kitchen is yellow?A) 0.05B) 0.53C) 0.83D) 0.97 Earthquake sometimes occur when blank (a. A volcanic island moves away from a hotspot and it goes extinct, b. The solid rock layer in the lithosphere is no longer influenced by the more fluid asthenosphere, c. A transform boundary causes excessive amounts of friction between two tectonic plates, d. A divergent boundary abruptly reserves rolls to become a convergent boundary) some underwater earthquake shake the ocean floor in cause large sea waves that destroy property and threaten lives such as a sea wave is called blank (a. an avalanche, b. a tsunami, c. a tidal wave, d. a landslide) During Mao Zedongs regime, urban income and life expectancy increased. As a result, there was an increase in Chinas______ . To overcome this problem, China established the one-child policy in ________. Choose the constant term that completes the perfect square trinomial.y 2 - 7y-49/2+49/2+49/4 Brainliest will be given!!!Which quotations from the excerpt provide evidence to support the claim that governments have responded to criticism delivered through social media? Select THREE options. Steam Workshop Downloader