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34kurt
2 years ago
10

The graphs below have the same shapes. What is the equation for the red graph?

Mathematics
1 answer:
stepladder [879]2 years ago
3 0

The equation for the red graph is f(x) = -x².

<h3>How to depict the equation?</h3>

From the information given, g(x) = 4 - x².

The vertex of the point (0, 4) and (0, 0) for g(x) and f(x) respectively. The rule of the translation will be:

(x, y) = (x, y -4).

The equation of the function will be:

f(x) = g(x) - 4

f(x) = (4 - x²) - 4

f(x) = -x²

Learn more about equations on:

brainly.com/question/9681517

#SPJ1

You might be interested in
Kayla has a deck that measures 4 feet by 21 feet.
Flura [38]

For the area of the deck to be doubled, he should increase each dimension by 3.

<h3>How to find the dimension increase to double the area?</h3>

The deck is 4 feet by 21 feet.

She wants to increase each dimension by equal lengths so that its area is doubled.

Therefore,

initial area = 4 × 21 = 84 ft²

Hence,

The increase by equal length

width = x + 4

length = x + 21

area = 2(84) = 168 ft²

Therefore,

(x + 4)(x + 21) = 168

x² + 21x + 4x + 84 = 168

x² + 25x + 84 = 168

x² + 25x + 84 - 168 = 0

x² + 25x - 84 = 0

(x + 28) • (x - 3)  = 0

x = -28 or 3

It can only be positive.

Therefore, she should increase each dimension by 3.

learn more on area here: brainly.com/question/23640960

#SPJ1

3 0
2 years ago
What is the solution to the equation -3d/d^2-2d-8+3/d-4 = -2/d+2
Keith_Richards [23]
I’m sorry if I’m not correct but I think it’s b
5 0
3 years ago
Insert 5 arithmetic means between -1 and 11
Anni [7]

Answer:

Step-by-step explanation:

-1 1 3 5 7 9 11

That's the answer. If you need a method or a formula, that's a little harder.

L = a + (n - 1)*d

a = -1

L = 11

n = 7

or n is the hard part. If you have 5 means, then you have 6 spaces. So n must be 7 in all

11 = -1 + (7 - 1)*d                   add 1 to both sides. Combine the brackets

11+1 = -1+1+ 6*d

12 = 6d                               divide by 6

12/6 = d

2 = d

What this tells you is that each term has 2 added to it to get to the next one.

   

7 0
3 years ago
A sample of 65 observations is selected from one population with a population standard deviation of 0.75. The sample mean is 2.6
AlexFokin [52]

Answer:

P(z > 0.6071) = 0.2719

Step-by-step explanation:

4 0
3 years ago
What is the solution to the system of equations using the linear combination method {4x+y=5, 3x+y=8?
erastovalidia [21]
4x + y = 5
3x + y = 8
y = -3x + 8

4x +(-3x + 8) = 5
4x -3x + 8 = 5
x + 8 = 5
x = -3

y = -3(-3) + 8
y = -9 + 8
y = -1
5 0
3 years ago
Read 2 more answers
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