Compared to its 'parent' function f(x)=x^2, describe the changes if f(x)=-x^2-3?

Answer:

A

Step-by-step explanation:

Since all of the dimensions are being expanded by a scale of 1/4 of a foot to 3, or an increase of a factor of 12, the area is being increased by 12*12=144 times, or choice A. Hope this helps!

The unit rate of area in square feet of the enlargement image per square foot of the area of the original image is 144 square feet.

The scale of 1/4 of a foot = 3 feet

So scale of a foot = 3*4 =12 feet

A scale factor is a factor by which the dimension of an object is enlarged or diminished.

So, the area of the enlarged image = 12 feet*12 feet

The area of the enlarged image =144 square feet

Hence, the unit rate of area in square feet of the enlargement image per square foot of the area of the original image is 144 square feet.

To get more about scale factors visit:

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Answer:

(y²- 2y + 3) will be the answer.

Step-by-step explanation:

The given expression is (y³ - y² + y + 3) ÷ (y + 1)

By using long division method,

y + 1) y³ - y² + y + 3 (y²- 2y + 3

        y³ + y²

            - 2y² + y

            -2y² - 2y

                      3y + 3

                      3y + 3

                             0

Here the quotient is (y² - 2y + 3) and the remainder is 0.

Therefore, answer will be (y² - 2y + 3).

Answer:

y^2-2y+3

Step-by-step explanation:

Answer: The slope is 4 and the y-intercept is 12.

Step-by-step explanation:

(-3,0)  and (-2,4)

find the difference in the Y values  0-4=-4

find the difference in the v- values   -3-(-2) =-1

Divide the y difference by the x difference   -4/-1 = 4 so 4 is the slope

Now to find the y intercept, use the formula y=mx + b and plot in coordinates and slope to find the y- intercept

4= 4(-2) + b

4 = -8 + b

+8    +8

b= 12  so the y intercept is 12

now the equation will be like y = 4x + 12

(-3,0)  and (-2,4)

find the difference in the Y values  0-4=-4

find the difference in the v- values   -3-(-2) =-1

Divide the y difference by the x difference   -4/-1 = 4 so 4 is the slope

Now to find the y intercept, use the formula y=mx + b and plot in coordinates and slope to find the y- intercept

4= 4(-2) + b

4 = -8 + b

+8    +8

b= 12  so the y intercept is 12

now the equation will be like y = 4x + 12

Answer:

3

Step-by-step explanation:

Answer:3

Step-by-step explanation:

Answer

45$

Step-by-step explanation:

if you only needs to be there for one hour it is for 45

if heis there for more hours then add 15 to the cost for every hou

Step-by-step explanation:

To draw the graph, follow these steps:

The three inequalities given form a triangle.

The first equation, y ≤ 2x + 5, has a y-intercept at (0, 5) and a point at (-2, 1).

The second equation, y < -3x + 10, has points at (3, 1) and (2, 4).

Use two points to draw the lines.

After the lines are drawn, determine which side of the line the inequality works on. You can do this by testing points that are not on the line.

I will test each inequality using (0, 1):

y ≤ 2x + 5

0 ≤ 2 + 5

This is correct, so the inequality for y ≤ 2x + 5 will be shaded towards (0, 1).

y < -3x + 10

0 < -3 + 10

This is correct, so the inequality for y < -3x + 10 will be shaded towards (0, 1).

0 ≤ 1

This is correct, so the inequality for 0 ≤ y will be shaded upwards towards (0, 1).

The end result of this graph is all three inequalities being shaded (inwards).

The solution is a triangle with points at (1, 7), (3.33333, 0), and (-2.5, 0).

Answer:

[tex]6859 {ft}^{3} [/tex]

Step-by-step explanation:

[tex]V

=

w

h

l

\\

=

19

·

19

·

19

\\

=

6859 {ft}^{3}

[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

D

Step-by-step explanation:

This is a rectangular prism. The volume of a rectangular prism can be found using:

v=l*w*h

For this aquarium, the length is 36 inches, the width is 12 inches and the height is 24 inches. Substitute 36 in for l, 12 for w and 24 for h.

v=36*12*24

Multiply all the numbers together

v=10,368

Volume is always units^3, because we multiply 3 numbers together. The units are inches, so the volume of the aquarium is:

10, 368 inches^3

Answer:

A

Step-by-step explanation:

BECAUSE YOU ADD ALL THE SIDE 4 TIMES

Answer:

The two squares with side = 31m are added.

=> Total area: A = 2 x 31 x 31 = 1922 (m2)

Hope this helps!

:)

Answer:

-2k

Step-by-step explanation:

-k +3k

Factor out k

k(1-3)

k (-2)

-2k

Answer:

2k

Step-by-step explanation:

-1k + 3k = k(3-1) = 2k

Answer:

square root of 25 and 5/3

Step-by-step explanation:

correct me if i am wrong

Answer:

B and D

Step-by-step explanation:

i think

Answer:

1.6666666666666...

Step-by-step explanation:

10/6=5/3=1.6666666...

Answer:

the answer

Step-by-step explanation:

is D

Answer:

To solve you Divide by 12.5 on both sides

Answer: 17.2

Step-by-step explanation:

Answer:

.82

Step-by-step explanation:

I hope this is the type of answer your looking for.

Please mark me as brainliest....it would mean a lot

Answer:

1) 178.54

2) 96

3) 141

To help with solving problems like this-these are some equations:

Square: l x h

Rectangle: l x h

Circle: π(r*2)

Triangle: (l x h) x 1/2

Hope this helps!

Answer:

See below.

Step-by-step explanation:

a)

3x - 8 > 16

3x > 24

x > 8

b)

2x - 1 < 9

2x < 10

x < 5

c)

There are no integers that satisfy both inequalities since there is no number that is both greater than 8 and less than 5.

Answer:

a) [tex]\{x\in \mathbb{R}|x>8 \}[/tex] or just [tex]x>8[/tex], or [tex]\left(8,\:\infty \:\right)[/tex]

b)[tex]\{x\in \mathbb{R}|x<5 \}[/tex] or just [tex]x<5[/tex], or [tex](-\infty, 5)[/tex]

c) There's no integer that satisfy both inequalities.

Step-by-step explanation:

a) [tex]3x - 8 > 16[/tex]

[tex]3x - 8 +8> 16+8\\3x>24\\[/tex]

[tex]$\frac{3x}{3}>\frac{24}{3} $[/tex]

[tex]x>8[/tex]

Interval notation: [tex]\left(8,\:\infty \:\right)[/tex]

[tex]\{x\in \mathbb{R}|x>8 \}[/tex]

b) [tex]2x-1 < 9[/tex]

[tex]2x-1 +1< 9+1\\2x<10\\x<5[/tex]

Interval notation: [tex](-\infty, 5)[/tex]

[tex]\{x\in \mathbb{R}|x<5 \}[/tex]

c) The integers that satisfy both inequalities:

[tex](-\infty, 5)\cap \left(8,\:\infty \:\right) = \emptyset[/tex]

<---------------- 5 ---------------- 8 ------------------->

Answer:

The correct answer is A) 6 vertices

Step-by-step explanation:

The solid is a triangular prism

You must factor the numerator and denominator and cancel the common factors.

Answer:

Step-by-step explanation:

Discount =5% of x = 0.05x

Price after discount = x - 0.05x  = 0.95x

Tax = 5% of 0.95x = 0.05*0.95x

    =0.0475x

Price including tax = 0.95x + 0.475x = 0.9975x

Answer:

b. 896

Step-by-step explanation:

just put the numbers on the choice to know the right answer. here when you put 896 in    *27/14/72=24 you will get the right answer which is 24. so the answer is 896.

Answer:

b. 896

Step-by-step explanation:

Let the required number be x .

[tex]x\times 27\div14\div72= 24\\x\times 27\div14\times\frac{1}{72}= 24\\x\times 27\times\frac{1}{14}\times\frac{1}{72}= 24\\x\times 3\times\frac{1}{14}\times\frac{1}{8}= 24\\\\x= \frac{24\times 8\times 14}{3}\\x= 8\times 8\times 14\\x= 64\times 14\\\huge\red{\boxed{x = 896}}\\[/tex]

Answer:

(20, -12)

Step-by-step explanation:

it is (20, -12)

-(3/4)x+3=-12

x=20

-3/4(20)+3=-12

Answer:

g(u) = -3/2 u + 1/4

Step-by-step explanation:

Solve for v

-12u +3 = 8v +1

Subtract 1 from each side

-12u +3-1 = 8v +1-1

-12u +2 = 8v

Divide each side by 8

-12u/8 +2/8 = 8v/8

-3/2 u + 1/4 = v

v = -3/2 u + 1/4

g(u) = -3/2 u + 1/4

Answer:

Step-by-step explanation:

5 lol

Answer:

number 2 is an acute angle if that is what you mean

Step-by-step explanation:

Answer:

right angle?

Step-by-step explanation:

you wernt spesific soooo, and bc there is a right angle box where "2" is placed

Answer:

Ellipse

a shape with two edges and one straight and one curve

Step-by-step explanation:

On khan academy the answer is right

The required shape of cross section when  slicing the cone diagonal to its base is ellipse and hyperbola.

Cross section of cone to be determine when slicing it toward diagonal to its base.

A object which is extruded and tapers from a circular base to a point.

When slicing the cone to its base its give two type of shapes depending upon the angle of inclination of slicing . The two shapes obtained is ellipse and hyperbola when cut it through diagonal to its base.

Thus, the required shape of cross section when  slicing the cone diagonal to its base is ellipse and hyperbola.

Learn more about cone here:
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Answer:

x = -3/5

Step-by-step explanation:

2(3 - x) -12 + 4x = -3x -9

Distribute

6 -2x -12 +4x = -3x -9

Combine like terms

2x -6 = -3x -9

Add 3x to each side

2x+3x -6 = -3x+3x -9

Add 6 to each side

5x -6+6 = -9+6

5x = -3

Divide each side by 5

5x/5 = -3/5

x = -3/5

Answer:

x=-3/5

Step-by-step explanation:

[tex]2(3-x)-12+4x=-3x-9[/tex]

[tex]6-2x-12+4x=-3x-9[/tex]

[tex]-6+2x=-3x-9[/tex]

[tex]2x+3x=-9+6[/tex]

[tex]5x=-3[/tex]

[tex]x=\frac{-3}{5}[/tex]

Answer:

(-30, 10)

Step-by-step explanation:

if you multiply both -20 and 60 by -0.5 you get 10 and -30 respectively. being the only pair of numbers achievable by the proportion property.

Answer:

(-30,10)

Step-by-step explanation: