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Bogdan [553]
3 years ago
12

The graphs below have the same shape. Complete the equation of the red graph. Enter exponents using the caret (^); for example,

enter x2 as x^2. Do not include "F(x) =" in your answer.

Mathematics
2 answers:
ycow [4]3 years ago
8 0

Answer:

1 - x^2

Step-by-step explanation:

F(x) is 3 units down. So,

G(x) - 2 = 4 - x² - 3

F(x) = 1 - x²

german3 years ago
5 0

Answer:

f(x) = 1-x^2

Step-by-step explanation:

The graph of f(x) is just shifted down 3 units

A shift down is a subtraction

f(x) = g(x) -3

     = 4- x^2 -3

     =1-x^2

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Is​ f(x) continuous at x equals 4​? Why or why​ not? A. ​No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit
soldier1979 [14.2K]

<u>Corrected Question</u>

Is the function given by:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right ​

continuous at x=4​? Why or why​ not? Choose the correct answer below.

Answer:

(D) ​Yes, f(x) is continuous at x = 4 because Lim_{x \to 4}f(x)=f(4)

Step-by-step explanation:

Given the function:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right

A function to be continuous  at some value c in its domain if the following condition holds:

  • f(c) exists and is defined.
  • Lim_{x \to c}$ f(x) exists.
  • f(c)=Lim_{x \to c}$ f(x)

At x=4

  • f(4)=\dfrac{1}{4}*4+1=2
  • Lim_{x \to 4}f(x)=2

Therefore: Lim_{x \to 4}f(x)=f(4)=2

By the above, the function satisfies the condition for continuity.

The correct option is D.

3 0
3 years ago
It takes 24 hours to fill a large pool with two hoses, where the water in one hose flows four times as fast as the other hose.
ivolga24 [154]
4.8 h
Say the slow hose flows x
The fast hose flows 4x
5x = 24
x = 4.8
3 0
3 years ago
Question Progress
vredina [299]

Step-by-step explanation:

X Y

-5 45

-4. 32

-3. 21

-2. 12

-1. 5

0 0

1. -3

2. -4

3. -3

4 0

5 5

3 0
3 years ago
Shanti is taking a cube-shaped gift to a friend's birthday party. She wants to wrap it but she doesn't have very much paper, so
Marrrta [24]

Answer:

It will take Shanti 150 square inches of paper to wrap the gifts

Step-by-step explanation:

Shanti wraps the gift she is taking to a friend's birthday party. She doesn't have very much paper, so she does not overlap any of the edges. The side lengths of the cube are all 5in.

How much paper did it take to cover the gift?

Solution

To solve this, you will find the surface area of a cube

Surface area of a cube = 6a^2

Where,

a=side length of the cube

a= 5 in

a^2=a × a

=5 × 5

=25 in^2

a^2=25 in^2

Surface area of a cube = 6a^2

=6 × 25 in^2

=150 in^2

It will take Shanti 150 square inches of paper to wrap the gifts

7 0
3 years ago
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The hypothesis test of cost parameters indicates whether: a.the total cost is similar to that of the prior periods. b.the parame
maksim [4K]

Answer:

B. The Parameter are different from Zero

Step-by-step explanation:

3 0
3 years ago
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