which statement about g(x)=x^2-576 is true
a. the zeros, -288 and 288, can be found when 0=(x+288)(x-288.
b. the only zero,288 , can be found when 0=(x-288)^2.
c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
d. the only zero, 24, can be found when 0=(x-24)^2

The equation of the line parallel to 3x + y = 7 and passing through (-3,3) is y = -3x + 12 (Option A) because parallel lines have identical slopes and using the point-slope formula provides us with the y-intercept.

To find the equation of a line parallel to 3x + y = 7 and passing through the point (-3,3), we need two pieces of information:

The slope of the parallel line

The coordinates of a point it passes through

First, let's rewrite the given equation in slope-intercept form to find the slope. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = -3x + 7

So, the slope m is -3. Because parallel lines have the same slope, our new line will also have a slope of -3.
Using the slope (-3) and the given point (-3,3), we apply the point-slope formula:

y - y1 = m(x - x1)

y - 3 = -3(x - (-3))

y - 3 = -3x - 9

y = -3x + 12

Thus, the equation in slope-intercept form for the line that passes through (-3,3) and is parallel to 3x + y= 7 is y = -3x + 12 which corresponds to Option A.

Answer:

99.7%

Step-by-step explanation:

The 68-95-99.7 rule refers to what percentage of data is contained within ranges a certain distance from the mean.

68% of the data lies within one standard deviation of the mean

95% lies within two standard deviations, and

99.7% lies within three standard deviations.

Our mean here is 600, and our standard deviation is 120, so those ranges would be:

480-720 for 1 standard deviation

360-840 for 2 standard deviations, and

240-960 for 3.

Our given range is 240 to 960, three standard deviations from the mean, so the 68-95-99.7 rule tells us that this range contains 99.7% of the people.

According to the empirical rule, approximately 99.7% of people taking the GRE score between 240 and 960.

The student is asking for the percentage of people taking the GRE who score between 240 and 960 using the 68-95-99.7 Rule (also known as the empirical rule). This rule applies to normally distributed data and indicates that approximately 68% of data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

For the GRE, with a mean score of 600 and standard deviation of 120, one standard deviation range is from 480 to 720, two standard deviations is from 360 to 840, and three standard deviations is from 240 to 960. Using this rule:

68% of the scores fall between 480 (600-120) and 720 (600+120).

95% of the scores fall between 360 (600-2*120) and 840 (600+2*120).

99.7% of the scores fall between 240 (600-3*120) and 960 (600+3*120).

Hence, according to the empirical rule, approximately 99.7% of people taking the GRE score between 240 and 960.

Answer:

19

Step-by-step explanation:

Answer:

3x^2+13x+12 square feet.

Step-by-step explanation:

Since the formula for area is lxw so we Multiply the given using the foil method: (3x+4)(x+3)

3x^2+9x+4x+12, combine like terms

3x^2+13x+12, since we no longer have other like terms then the area is 3x^2+13x+12 square feet.

Answer:

Area of rectangle = [tex]3x^2+13x+12[/tex] square feet

Step-by-step explanation:

We are given the following dimensions of a rectangle and we are to find its area:

[tex] ( 3 x + 4 ) feet [/tex]

[tex] ( x + 3 ) feet [/tex]

We know that the formula of area of a rectangle is given by: [tex]l \times w[/tex].

Substituting the given dimensions in the above formula.

Area of rectangle = [tex](3x+4) \times (x+3)[/tex] = [tex]3x^2+9x+4x+12[/tex] = [tex]3x^2+13x+12[/tex] square feet

Answer: 80

Step-by-step explanation:

Check the picture below.

Answer:

Congruent chords are equidistant from the center of the circle

Step-by-step explanation:

Answer:

160π units³

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the base radius and h the height )

here r = 4 and h = 10, thus

V = π × 4² × 10 = 160π units³ ← exact value

Answer:

5) c. 6 pi cm

6) A. 81 pi mm^2

Step-by-step explanation:

5) Circumference of a circle = pi d

d = 6 cm

so

C = 6 pi cm

Answer

c. 6 pi cm

6)

A = pi r^2

r = d/2 = 18/2 = 9

so

A = pi 9^2

A = 81 pi mm^2

Answer

A. 81 pi mm^2

Answer:

Circumference: 6πcm

Area: 81π mm^2

Step-by-step explanation:

1. C = πd

C = 3.14159 * 6

C = 18.84cm OR C = 6πcm

2. A=πr^2

A = 3.14159 * (9^2)

A = 254.46mm OR 81π mm^2

Answer:

The area of the shaded region is [tex](36\pi-35)\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of the rectangle

so

[tex]A=\pi r^{2}-a*b[/tex]

we have

[tex]a=7\ cm[/tex]

[tex]b=5\ cm[/tex]

[tex]r=6\ cm[/tex]

substitute the values

[tex]A=\pi (6)^{2}-(7)*(5)[/tex]

[tex]A=(36\pi-35)\ cm^{2}[/tex]

Answer:

78.1

Step-by-step explanation:

The answer to this question is 10. The working out is shown in the image attached.

*** Sorry instead of writing 170 I wrote 270 for the big angle.. other than that it's correct

or another way to solve this is....

we know that a straight line is 180 degrees and the angle APD is 170 all we need to do is subtract 170 from 180 to get the answer of DPB

Hope this helped

Answer:

yes

Step-by-step explanation:

Weight appears to be the independent variable, so will be graphed on the horizontal axis. Cost is the dependent variable, so will be graphed on the vertical axis.

Answer:

The Answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Isosceles tells you that two sides of a triangle (in this case) are equal. The two non hypotenuse sides are both the same size. Each of the angles opposite the equal sides are equal and are 45o.

A right angle takes up the other 90o.

Answer:

Correct choice is 11/12.

Step-by-step explanation:

Given numbers are 2/3, 11/12, 5/6 and 7/12.

Now we need to find about which time is faster among 2/3, 11/12, 5/6 and 7/12.

To find that we need to make denominators equal.

2/3, 11/12, 5/6, 7/12

Common denominator is 12 so let's multiply by suitable numbers to get equal denominator.

8/12, 11/12, 10/12, 7/12

Now we see that largest numerator is 11.

Hence correct choice is 11/12.

Answer:

11/12 is the answer

Step-by-step explanation:

Answer:

3) -19 - 17i is our answer

Step-by-step explanation:

to solve A - BC we plug in the values given

A= -3 + 5i

B = 4 - 2i

C = 1 + 6i

-3 + 51i - (4 - 2i)(1 + 6i) is our expression. we can FOIL (4 - 2i)(1 + 6i) this expression out. FOIL stands for:

First

Outside

Inside

Last

i will highlight the terms i am using in the current step in bold and put the result next of those two terms next to the expression

F: (4 - 2i)(1 + 6i) = 4

O: (4 - 2i)(1 + 6i) = 24i

I: (4 - 2i)(1 + 6i) = -2i

L: (4 - 2i)(1 + 6i) = 12 < --- the reason why its 12 and not -12i or 12i is because i = √-1 and i² = -1

when we multiply -2i * 6i, we would have gotten a -12i², and i² = -1, so we are multiplying -12 by -1, which gives us 12 as the result

combining all these terms together and we have:

4 + 24i - 2i + 12

in the expression this is:

-3 + 5i - (4 + 24i - 2i + 12) < we need to distribute the negative sign into (4 + 24i - 2i + 12) and we now get:

-3 + 5i -4 - 24i + 2i - 12 < combine like terms (ex: i terms together)

-3 - 4 - 12 = -19

5i - 24i + 2i = -17i

the result of the expression is:

-19 - 17i

we cannot simplify this any further so this is our answer. the answer choice that matches this is 3, so 3) -19 - 17i is our answer

The result of the expression where i is the imaginary unit is -19-17i. Option 3 is correct

Given the following complex numbers A = -3 + 5i, B = 4 - 2i, and C = 1 +6i

We need to solve for A - BC

BC = (4 - 2i)(1 + 6i)

BC = 4(1) + 4(6i) - 2i(1) - 2i(6i)

BC = 4 + 24i -2i - 12(-1)

BC = 16+22i

Evaluate A - BC

A - BC = (-3 + 5i) - (16 + 22i)

A - BC = -3-16 + 5i - 22i

A - BC = -19 - 17i

Hence the result of the expression where i is the imaginary unit is -19-17i

Learn more here: https://brainly.com/question/16983565

Answer:

C

Step-by-step explanation:

Using the rule of exponents

• [tex]b^{-m}[/tex] ⇔ [tex]\frac{1}{b^{m} }[/tex], thus

[tex]3^{-3}[/tex] = [tex]\frac{1}{3^{3} }[/tex] = [tex]\frac{1}{27}[/tex] → C

Answer: C 1/27

b^-3 and b=3

So we have 1/b^3= 1/3^3= 1/27

Answer:

2 + 3.5i

Step-by-step explanation:

Real: (2 + 2)/2 = 4/2 = 2

Complex: (8i - i)/2 = 7i/2 = 3.5i

Answer: (2 + 3.5i)

The answer is the third one

The answer is C it’s pretty easy

Answer:

C.) $2.00 per pound

Hope This Helps!   Have A Nice Day!

$2.00 per pound, the answer would be letter C

The number 0.009238 is expressed correctly to 3 significant figures as 0.00924

To express 0.009238 to 3 significant figures, we need to consider the first three non-zero digits from the left.

Identify the first three non-zero digits from the left: 9, 2, and 3.

Since the digit after the third significant figure (8) is greater than or equal to 5, we round up the last significant figure.

Therefore, the number rounded to 3 significant figures is 0.00924.

The complete question is : express 0.009238 to 3 significant figures​

Answer:

1.) What percent of girls don't wear makeup? [30%]

2.) What percent of the people surveyed were girls? [50%]

3.) What percent of people don't have an opinion? [23.3%]

4.) What percent of boys boys prefer girls who don't wear make up? [33.3%]

5.) What percent of boy have no opinon? [10%]

I hope this helps!!!

Answer:

86.079

Step-by-step explanation:

40.99*2.1

The Answer Is 86.079.

Answer:

The correct numbers to fill the table going down are:

2

5

7

Answer:multiply y times 2 the answers would be 2,5,7

Step-by-step explanation:

Answer:

-3x+8

Step-by-step explanation:

−2x−x+8

-2x and -x both have the variable x in them so we can combine them

-2x-x = -3x

-3x+8

Answer:-3x+8

Step-by-step explanation:

Negative - a negative= negative so -2x-x= -3x and the 8 is just an 8 because it has nothing to combine

D

When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.

Answer:

There are exactly 4 solutions

Step-by-step explanation

Given the two equation

y = x² + 3x – 7 ... (1)

y – 5x + 8 = 0 ...(2)

From equation 2,

y - 5x = -8

y = -8+5x ...(3)

Substituting equation 3 into 1

-8+5x = x²+3x-7

Moving -8+5x to the other side of the equation, we have:

x²+3x-7+8-5x = 0

x²+3x-8x-7+8= 0

x²-5x+1 = 0

Since the resulting equation is quadratic, we will get two solutions as our x and substituting both value of x in equation 2 to get y will give us two solutions for our y variable making a total of 4 solutions.

Therefore in the system of equation given, there are exactly 4 solutions

For this case we have the following equation:

[tex]4 ^ {(x-2)} = 8 ^ 6[/tex]

We must create equivalent expressions in the equation, so that they have equal bases:

[tex]2 ^ {2 * (x-2)} = 2 ^ {3 * 6}[/tex]

If the bases are the same, then the two expressions are only equal if the exponents are equal:

[tex]2 (x-2) = 3 * 6\\2 (x-2) = 18\\2x-4 = 18\\2x = 18 + 4\\2x = 22\\x = \frac {22} {2}\\x = 11[/tex]

Answer:

[tex]x = 11[/tex]

Option D

Answer: OPTION D

Step-by-step explanation:

You need to remember the following:

[tex]a^x=a^y\\x=y[/tex]

 Then, you must descompose 4 and 8 into their prime factors:

[tex]4=2*2=2^2\\8=2*2*2=2^3[/tex]

Rewriting the expression:

[tex]2^{2(x-2)}=2^{3(6)}[/tex]

Now you get:

[tex]2(x-2)=3(6)[/tex]

Finally, you must solve for the variable "x".

Therefore, you get the following result:

[tex]2x-4=18\\2x=22\\x=11[/tex]

Answer:

1/3

Step-by-step explanation:

Both 11 and 33 are divisible by 11

11/11 =1

33/11 =3

11/33 = 1/3

The answer is 1/3. I hope this helps!

Answer:

x f(x)

–3 –12

–1 –4

4 16

Step-by-step explanation:

Let us find the each function by evaluating them one by one

1.

x f(x)

–3 –12  = -3 x 4

–1 –4  = -1 x 4

4 16 = 4 x 4

By observing the data we can see that

f(x) = 4x

2.

x f(x)

–2 6  = -2 x -3

–1 3  = -1 x -3

1     –3= 1 x -3

f(x) = -3x

3.

x f(x)

1 0.25  = 1/4

8 2  = 8/4

16 4 = 16/4

f(x)= x/4

4.

x f(x)

–9 3  = -9/-3

–3 1  = -3/-3

21 –7  = 21/-3

f(x) = x/-3

Hence comparing all the four function with our given function f(x)=3x , we see that f(x) =4x has a greater rate of change that f(x)=3x

Answer:

The Correct Answer is A.

Step-by-step explanation:

Answer:

29.3 in³

Step-by-step explanation:

1. Volume of cone: V = ¹/₃ * πr²h

2. Find r: r = d/2 = 4/2 = 2 in

3. Plug in: V = ¹/₃ * π(2)²*7

4. Powers: V = ¹/₃ * π * 4 * 7

5. Multiply: V = ²⁸/₃π in³ ≈ 29.3 in³ (excluding outside of the cone)

Final answer:

Approximately 29.3 cubic inches of ice cream can fit in the chocolate cone.

Explanation:

To find the amount of ice cream that can fit in a chocolate cone, we need to calculate the volume of the cone. The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius (half the diameter) of the base of the cone and h is the height of the cone. In this case, the diameter is 4 inches, so the radius is 2 inches. The height of the cone is 7 inches. Plugging these values into the formula, we get V = (1/3)π(2^2)(7) = (4/3)π(7) = 28/3π ≈ 29.3 cubic inches. Therefore, approximately 29.3 cubic inches of ice cream can fit in the chocolate cone.

Answer:

A. The graphs of two of the functions have a minimum point.

Step-by-step explanation:

Option A is false, because the only function that has a minimum point is

[tex]h(x)=\frac{1}{4}x^2+1[/tex]

Option B is true because all the functions are of the form;

[tex]y=ax^2+c[/tex]

The equation of axis of symmetry of equations in this form is x=0.

Option C is also true because, [tex]h(x)=\frac{1}{4}x^2+1[/tex] is a minimum graph and its y-intercept is 1. This graph will hang above the x-axis.

[tex]g(x)=-2x^2-5[/tex] is a maximum graph whose y-intercept is -5.

This graph also hangs below the x-axis.

Option D is also true. The y-intercepts are 6,-5, and 1