Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.

Answer:

g(x)=2x^2

Step-by-step explanation:

If you look at (1,1) for the blue function then (2,2) for g(x), you can kind of see that it is scaled by 2 (meaning its just twice as big). In another case you can see the blue function passing through (2,4), which matches with the point given to you for g(x), (4,8), which is twice as big.

The function of g(x) = 2x² can be thought of as a scaled version of f(x) = x².

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

To determine the function of g(x) can be thought of as a scaled version of f(x) = x²

When considering (1,1) for the blue function and (2,2) for g (x),

Its two-scale scaling can be seen in some parts implying that it is simply twice as large.

The blue function is visible in another instance as it passes through (2,4),

which corresponds to the point that was provided for g(x) (4,8),

which is twice as big.

Given that f(x) = x²

then g(x) = 2f(x)

Thus, the function of g(x) = 2x²

Learn more about parabola here:

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9514 1404 393

Answer:

  R = 5500t

Step-by-step explanation:

The estimated monthly revenue is said to be 5500 per month. Then for t months, the revenue R will be ...

  R = 5500t

_____

Additional comment

We expect costs to be C = 3200t, so profit is ...

  P = R -C

  P = 5500t -3200t

  P = 2300t

At that rate, it will be 50 months before enough profit is earned to pay for the initial cost of the store.

Answer:

12cm

Step-by-step explanation:

pythagorean theorem!

a^2 + b^2 = c^2

7^2 + b^2 = 13^2

49 + b^2 = 169

49 - 49 + b^2 = 169 - 49 (whatever you do to one side, you do to the other side)

b^2 = 147 (square root)

= 12cm

Answer:

proportional

Step-by-step explanation:

Answer: AAS that's what it should be

Step-by-step explanation:

Answer:

I believe that D is the answer.

Step-by-step explanation:

The Y and X axis goes up by 1/8, so the Y value is 5/8 and the X value is -1/4.

(For the X axis, you need to simplify.)

Answer:

8/12 or x+8 y+12

Step-by-step explanation:

The rise between the points (0,0) and (8,12) is 12.

The ratio of the vertical and horizontal changes between two points on a surface or a line is known as the slope.

Rise is the difference of y-coordinates of the points.

Therefore, the rise between the points (0,0) and (8,12) is:

12 - 0

=12

Hence, the rise between the points (0,0) and (8,12) is 12.

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Answer:

A. n = 1/63

B. k = 13/3

C. g = 5

D. w = 21/17

Step-by-step explanation:

A. 9n = 15/7 - 2

9n = 15-14/7

9n = 1/7

n = 1/7 ÷ 9

= 1/7 × 1/9

n = 1/63

B. 1/3 = k - 4

1/3 + 4 = k

1+12/3 = k

13 /3 = k

k = 13/3

C. g - 2/5g = 3

5g-2g/5 = 3

3/5g = 3

g = 3 ÷ 3/5

= 3 × 5/3

= 15/3

g = 5

D. 3/7w + 2w = 3

3w+14w/7 = 3

17/7w = 3

w = 3 ÷ 17/7

= 3 × 7/17

= 21/17

w = 21/17

Answer:

if im not mistaken its 143

Answer:

im not exactly sure what ur looking for but your answer might be [tex]\:f\left(x\right)=4[/tex] or [tex]-2<x<3[/tex] fo #1 and #2 might be [tex]f\left(x\right)=-5[/tex] or [tex]-1<x<1[/tex] but not positive sooo

Step-by-step explanation:

hope this helps :)

Answer:

The correct answer is:

ZNEG/∠NEG

Step-by-step explanation:

An exterior angle is one outside the triangle that is formed by extending two of the sides of the triangle. Angle NEG is formed by extending EG and EF; this makes it an exterior angle.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \cos(30°) = \frac{16 \sqrt{3} }{s} \\ [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{16 \sqrt{3} }{s} \\ [/tex]

Inverse both sides

[tex] \frac{2}{ \sqrt{3} } = \frac{s}{16 \sqrt{3} } \\ [/tex]

[tex] \frac{s}{16 \sqrt{3} } = \frac{2}{ \sqrt{3} } \\ [/tex]

Multiply sides by 16√3

[tex]16 \sqrt{3} \times \frac{s}{16 \sqrt{3} } = 16 \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ [/tex]

[tex]s = \frac{2 \times 16 \times \sqrt{3} }{ \sqrt{3} } \\ [/tex]

[tex]s = 32[/tex]

Thus the correct answer is Option D .

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Answer:

2. 2/1 is the ratio of seltzer to juice.  It means that there is twice as much seltzer as there is juice.

3. (2,4) represents the amount of seltzer and juice.  At this point there are 4 cups of seltzer, and two cups of juice.

4. (1,2) can be used to find the constant of proportionality and slope.

5. y=2x

6. y=2*15

y=30

Step-by-step explanation:

If you need explanations for any of these let me know, and I'll add them.

Answer:

-0.5

Step-by-step explanation:

Answer:

A, C, D, and F all apply.

Step-by-step explanation:

Simply divide the numerator by the denominator to calculate the rational number.

5/4 = 1.25

15/-12 = -1.25, not 1.25

15/12 = 1.25

-5/-4 = 1.25

-5/4 = -1.25, not 1.25

-15/-12 = 1.25

I hope this helped you! If it did, please consider rating, pressing thanks, and marking my answer as Brainliest. Have a great day! :)

Answer:

16

Step-by-step explanation:

[tex]4−16÷4+4² \\ \\ = 4 - \frac{16}{4} + 16 \\ \\ = 4 - 4 + 16 \\ \\ = 16[/tex]

Answer: I don’t get it

Step-by-step explanation:

8,000 or 08,080?

Answer:

root 37 is write answer

Answer:

10x^2 + 3xy

Step-by-step explanation:

Hope this helps, have a good day

Answer:

6000 dollars

Step-by-step explanation:

25x16x15

Answer:

y=-8

Step-by-step explanation:

y=6x+(-2)

y=6(-1)+(-2)

y=-6+(-2)

y=-8

Answer:

20

Step-by-step explanation:

(5/100) * (400/1)

cancel the zeros

4 * 5= 20

Answer:

154

Step-by-step explanation: