Consider the quadratic function f(x) = –2x2 + 4x – 2. Find the y-intercept and the equation of the axis of symmetry.

Answer:

-3 5 2

Step-by-step explanation:

trust

376900x.2= 75380.......

To find 20 percent of 376,900, multiply it by 0.2, which equals 75,380.

To find 20 percent of 376,900, you can multiply 376,900 by 0.2.

20 percent, written as a decimal, is 0.2.

Multiplying 376,900 by 0.2 gives you 75,380.

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Answer:

Graph A.

Step-by-step explanation:

We will try to understand the graph plotted for the change in temperature for whole day.

In the morning, temperature starts out around 50°F. As the day goes on, the temperature rises first slowly- Slope of the first line will be less.

Then temperature rises more quickly - Slope of the second line will be more than first line.

It stays constant for an hour- third line will be parallel to the x-axis for one hour gap.

Then the temperature dropped down slowly - Last line of the graph will go down.

By the understanding we made for the graph we find graph A is the answer.

Answer:

the top left graph

Answer:

15 degrees

Step-by-step explanation:

3.5 times 10 = 35

50-35=15

Answer:

29 Degrees Fahrenheit

Step-by-step explanation:

So at 4,000 ft. high, it's 50 Degrees Fahrenheit, that means we don't need the first 4,000 because 50 is our starting point. 10,000 - 4,000 = 6,000.

Every 1,000 ft. is down another 3.5 Degrees Fahrenheit, and so first we divide 6,000 by 1,000 to have 6.

Then we multiply 3.5 with 6 to get 21 Degrees Fahrenheit.

50 - 21 = 29 Degrees Fahrenheit.

To solve any questions relating to ages, I find it easier to make a table, like in the picture below.

See picture for answer and clear diagram.

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Notes/Explanations + answer in written form

Let's say that Halley's age now is:              x

That means that her age in 18 years is:      x + 18

It also means that her age 2 years ago is:   x - 2

In the question, we are told that when Halley is 18 years older that her current age, she will be 5 times the age she was when she was 2 years younger than her current age

That means:

Halley's current age + 18 years = 5 times (Halley's current age - 2 years)

So we get this equation (which we solve to get the answer) :

x + 18 = 5 * (x -2)                       ( expand the brackets)

x + 18 = 5x - 10                           (subtract x from both sides)

18 = 4x - 10                                 (add 10 to both sides)

28 = 4x                                       (now divide both sides by 4)

7 = x

Therefore, Halley's current age is 7 years

Answer:

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

Step-by-step explanation:

There are 60 minutes in 1 hour

To express as a fraction

[tex]\frac{45}{60}[/tex]

Divide numerator/denominator by 15

[tex]\frac{45}{60}[/tex] = [tex]\frac{3}{4}[/tex]

Answer:

The answer is B.

Step-by-step explanation:

the angle is not even 90 degrees so anything bigger is an automatic no and it's pretty obvious that the answer is not 0. Lol

The approximate measure of an angle can be estimated using nearby or known angles as reference points or by using a protractor.

The approximate measure of an angle can be determined using various methods, including estimation or using a protractor. If you are estimating the measure of an angle, you can use nearby angles or known angles as reference points. For example, if you have a right angle measuring 90 degrees, and the given angle appears to be slightly less than a right angle, you can estimate it to be around 85-88 degrees.

Alternatively, you can use a protractor which is a tool specifically designed to measure angles. Place the center of the protractor on the vertex of the angle and line up one of the lines on the protractor with one of the sides of the angle. Read the measurement indicated on the protractor scale to determine the approximate measure of the angle.

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Answer:

1840

Step-by-step explanation:

345+23=368*5

Answer: 1840

Step-by-step explanation:

you add 345 + 23 and multiply by 5

Answer:

D

Step-by-step explanation:

The augmented matrix for the system of three equaitons is

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\5&2&-2&|&11\\5&-4&4&|&-7\end{array}\right)[/tex]

Multiply the first row by 5, the second row by -3 and add these two rows:

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\5&-4&4&|&-7\end{array}\right)[/tex]

Subtract the third row from the second:

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&6&-6&|&18\end{array}\right)[/tex]

Divide the third row by 6:

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&1&-1&|&3\end{array}\right)[/tex]

Now multiply  the third equation by 26 and add it to the second row:

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&0&-45&|&-90\end{array}\right)[/tex]

You get the system of three equations:

[tex]\left\{\begin{array}{r}3x-4y-5z=-27\\-26y-19z=-168\\-45z=-90\end{array}\right.[/tex]

From the third equation

[tex]z=\dfrac{90}{45}=2.[/tex]

Substitute z=2 into the second equation:

[tex]-26y-19\cdot 2=-168\\ \\-26y-38=-168\\ \\-26y=-168+38=-130\\ \\y=\dfrac{130}{26}=5.[/tex]

Now substitute z=2 and y=5 into the first equation:

[tex]3x-4\cdot 5-5\cdot 2=-27\\ \\3x-20-10=-27\\ \\3x-30=-27\\ \\3x=-27+30=3\\ \\x=1.[/tex]

The solution is (1,5,2)

The correct answer is option d (1, 5, 2).

To solve the system of equations, let's write the augmented matrix and perform row operations to get it into reduced row-echelon form (RREF). The system of equations is as follows:

3x−4y+5z (1)

5x+2y−2z  (2)

5x−4y+4z  (3)

The augmented matrix for this system is:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\5&2&-2&|11\\5&-4&4&|7\end{array}\right][/tex]

Now, let's perform row operations to get the reduced row-echelon form:

Subtract 5 times the first row from the second row:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&22&-27&|-134\\5&-4&4&|7\end{array}\right][/tex]

Subtract 5 times the first row from the third row:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&22&-27&|-134\\0&16&-21&|-118\end{array}\right][/tex]

Multiply the second row by 8/11:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&1&-8/11&|-67/11\\0&16&-21&|-118\end{array}\right][/tex]

Subtract 16 times the second row from the third row:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&1&-8/11&|-67/11\\0&0&5/11&|10/11\end{array}\right][/tex]

Multiply the third row by 11/5:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&1&-8/11&|-67/11\\0&0&1&|2\end{array}\right][/tex]

Add 4/11 ​times the third row to the second row:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&1&0&|1\\0&0&1&|2\end{array}\right][/tex]

Add 4 times the third row to the first row:

[tex]\left[\begin{array}{ccc}3&-4&0&|35\\0&1&0&|1\\0&0&1&|2\end{array}\right][/tex]

Add 4 times the second row to the first row:

[tex]\left[\begin{array}{ccc}3&0&0&|39\\0&1&0&|1\\0&0&1&|2\end{array}\right][/tex]

Now, we can read off the solutions:

3x=39⇒x=13

y=1

z=2

So, the correct answer is (d) (1,5,2).

Answer:

43

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

using pemdas you would first do exponent

so 6*6 is 36

so you have 36-1*3+4/2+8

then you would do mutiplication

so -1 * 3 is -3

then divide 4/2 which is 2

then add and subtract

36-3+2+8

46-3

43

Answer:

5 : 3

Step-by-step explanation:

Given in the question that,

total number of animal feet = 26

number of pig's feet = 20

number of chicken's feet = 6

As we know that pig have four legs and chicken have 2 legs so,

number of pigs in the farm = 20/4 = 5

number of chickens in the farm = 6/2 = 3

Questions says that there are 8 heads so we can confirm our calculations as

The ratio of the number of pigs to the number of chickens is

Solution:

Given Expression is 1/40* x = 1/8

Step : Define x in the Equation:

Step : Divide the Equation by 8

Step : Do cross multiplication

Step : Arrange it in particular form

____________________________

☞ 1/40x = 1/8

☞ x/40 = 1/8

☞ x = ⅛ × 40

☞ x = 5

.

Therefore, Answer is 5.

x = 5

1/40 of x is the same x divided by 40, so let’s put that into the equation to get x/40 = 1/8.

Now, multiply both sides of the equation by 40 to cancel out the division by 40.

x = 1/8 * 40

x = 40/8

Now, just simplify.

x = 5

Answer:

12. Heptagon

13. 14 cm

14. 50°

Step-by-step explanation:

12.

A polygon containing

3 sides is a triangle

4 sides is Quadrilateral

5 Sides is a Pentagon

6 sides is a Hexagon

7 sides is a Heptagon

Our polygon contains seven sides, it is hence a Heptagon

13. RST = ?

S is the mid point of RT

Hence RS = ST

ST = 7 given

Hence RS = 7

RT = RST = RS + ST

= 7 + 7

= 14 cms

14.

∠RSQ = ∠QST = 25°

∠RST=∠RSQ + ∠QST = 25°+ 25° = 50°

y=-2x+3 in slope-intercept form

3 is the y-intercept and -2 is the slope

Answer:

2x - y + 3 = 0

Step-by-step explanation:

The formula used to find the equation is:

[tex]y-y_1= \frac{(y_2-y_1)}{(x_2-x_1)} (x-x_1)[/tex]

Here, (x₁, y₁) = (0, 3)

and (x₂, y₂) = (1, 1)

Putting all values in above formula,

[tex]y-3= \frac{(1-3}{(1-0)} (x-0)[/tex]

⇒  [tex]y - 3 =\frac{-2}{1}x[/tex]

⇒ y - 3 = 2x

⇒ 2x - y + 3 = 0

which is the requires equation.

Answer:

Step-by-step explanation:

Height:  h(t)= -0.2t^2+2t  =  2t(-0.1t + 1)

-0.2t^2+2t  is  a quadratic expression with a = -0.2 and b = 2.

The ball reaches its max height at t = -b/(2a).

Here, t = -2 / (2·[-0.2] ), or  t = 2/0.4 = 5 (sec)

The ball reaches its max height at at 5 sec.

The max ht. of the ball is h(5) = -0.2(5 sec)^2 + 2(5 sec) = (-5 + 10) sec, or 5 ft.

To determine after how many sec the ball reaches the ground, we set h(t) = 0 and solve for t:  

h(t)= -0.2t^2+2t = 0 = 2t(-0.1t + 1).  Thus, t = 0 sec or t = 10 sec

The ball reaches the ground again after 10 sec.

it it c becauee I had already learned this

Answer:

Scale 1 35 ft by 25 ft and Scale 2 56 ft by 40 ft

Step-by-step explanation:

step 1

Find the actual dimensions of a patio with the scale 1

The scale 1 is equal to

1 cm/5 ft

Length=7 cm=7*5=35 ft

Width=5 cm=5*5=25 ft

therefore

The dimensions are 35 ft by 25 ft

step 2

Find the actual dimensions of a patio with the scale 2

The scale 2 is equal to

1 cm/8 ft

Length=7 cm=7*8=56 ft

Width=5 cm=5*8=40 ft

therefore

The dimensions are 56 ft by 40 ft

Answer:

C

Step-by-step explanation:

If Scale 1 is 1 cm:5 ft, multiply 5 and 7 by 5 to get the correct dimensions. 7×5=35 and 5×5=25. If Scale 2 is 1 cm: 8 ft, multiply 5 and 7 by 8 to get the correct dimensions. 7×8=56 and 5×8=40. The answer is: Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft.

Hope this helps!

0 divided 15=0 is your answer

0 divided by 15 is 0.

Anything multiplied or divided by 0 is 0!

someone please answer

Answer:

A

Step-by-step explanation:

I did the same test

Answer:

Step-by-step explanation:

Ratio is a relationship between two numbers indicating how many times the first number contains the the second.

Proportion is a part or share or number considered in comparative relation to whole.

So Ratio and Proportion wouldn't go under the same category.

I hope this would help you!!

Lowest number is 15,147 the highest number is 19,835 simple subtract the lowest from the highest you get 4688

Answer:

The answer is 4,688

Hope this helped : )

Step-by-step explanation:

the range is the difference between the largest and smallest numbers in a set of data.

So, for this set of data. To find the range you subtract 19,835 - 15,147 = 4,688

Answer:

32 degrees

god bless all

plz pray for my dead great grandfather

The approximate surface area of a cylinder with a height of 12 meters and a base radius of 2 meters is 175.84 square meters, using 3.14 for pi.

The question asks for the approximate surface area of a cylinder with specific dimensions, using 3.14 for π. The surface area of a cylinder can be calculated through the formula for surface area which includes the areas of the two bases and the side surface. The area of one base is πr², which is the area of a circle. For our cylinder, with a base radius (r) of 2 meters, the area of one base is 3.14 × (2 m)² = 12.56 m². Since the cylinder has two bases, you double this area. The side surface is a rectangle when rolled out, and its area is the perimeter of the base circle (circumference) times the height (h) of the cylinder. The circumference (C) of the base is 2πr, so for our cylinder C = 2 × 3.14 × 2 m = 12.56 m. The side surface area is therefore C × h = 12.56 m × 12 m = 150.72 m². Add the areas of the two bases and the side surface to find the total surface area: 2 × base area + side surface area = 2 × 12.56 m² + 150.72 m² = 175.84 m².

Answer:

[tex]a_{14}=-7[/tex]

Step-by-step explanation:

The given sequence is:

6, 5, 4, 3, 2, . . .

The first term of the sequence is:

[tex]a_1=6[/tex]

The common difference is

d=5-6=-1

The nth term of the sequence:

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

[tex]a_n=6-1(n-1)[/tex]

[tex]a_n=6-n+1[/tex]

[tex]a_n=7-n[/tex]

When n=14

[tex]a_{14}=7-14=-7[/tex]

Answer:

x = -4

Step-by-step explanation:

a vertical line is the x-coordinate in an ordered pair, while a horizontal line is the y-coordinate in an ordered pair

a useful mnemonic is VUX/HOY which stands for:

VUX:

Vertical line

Undefined slope

X: x coordinate

HOY:

Horizontal line

0 is the slope

Y: y coordinate

The correct answer is:

D=Trapezoidal Prism

Yep! You're right!

It is trapezoidal prism.

yes B is the correct answer, the perimeter would be 16

Answer:

B and 16

Step-by-step explanation:

It's B because all the other answers would make a rectangular shape. You can find the plots on the lie by figuring out what coordinate each number is. For example, (3,1) the 3 is the x coordinate and 1 is the y coordinate. To find the perimeter you count the the boxes between the dots. 1 side is 4 and since it's the other sides are 4 you add it up to get 16 units squared.

Answer:

s = ∛( 1953.125 cm³ ) = 12.5 cm

Step-by-step explanation:

The volume of a cube is V = s³, where s represents the length of one edge.

Here, V = s³ = 1953.125 cm³, and we need to solve for s.  Do this by taking the cube root of both sides:

s = ∛( 1953.125 cm³ ) = 12.5 cm

Answer:

what are on the tabs

Step-by-step explanation:

The ordered pair given in the first row of the table can be written using Function notation as (x, f(x)), which is (3, -2).

f(3) is -2.

f(x) = -5 when x is 4.

Now, let's complete the statements:

f(3) is -2.

This statement tells us that when the input value (x) is 3, the function f(x) evaluates to -2. In the table, you can see that when x = 3, f(x) is indeed -2.

f(x) = -5 when x is 4.

This statement indicates that when the input value (x) is 4, the function f(x) takes on the value of -5. In the table, you can see that when x = 4, f(x) is -5.

In summary, these statements highlight specific values of the function f(x) for particular input values (x) based on the table of values provided. The function notation f(3) = -2 indicates that when x = 3, the function returns -2, and the statement f(x) = -5 when x is 4 tells us that when x = 4, the function evaluates to -5, as observed in the table.

For more such questions on Function notation

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It will cost $1040 in the two rooms

For this case we have that the total cost will be given by:

[tex]C {t} = C {b} + C_ {f}[/tex]

Where:

[tex]C_ {b}:[/tex] Cost of installing carpet in the basement

[tex]C_ {f}:[/tex] Cost of installing carpet in the family room

So:

[tex]C_ {b} = 62 \ yard ^ 2 * 13 \frac {dollars} {yard ^ 2}\\C_ {b} = 806 \ dollars[/tex]

Also:

[tex]C_ {f} = 18 \ yard ^ 2 * 13 \frac {dollars} {yard ^ 2}\\C_ {f} = 234 \ dollars[/tex]

Thus, the total cost will be:

[tex]C_ {t} = 806 + 234\\C_ {t} = 1040[/tex]

ANswer:

The total cost will be 1040 dollars