The question is in the picture. (Alegbra 1)

The table below represents the function F. 3 7 F(x) 4 15 5 31 7 127 8 255 The equation that represents this function is?

timurjin [86]

The table is an exponential function, and the equation that represents this function is $f(x) =2^x -1$

<h3>The equation of the table</h3>

The table is given as:

x F(x)

4 15

5 31

7 127

8 255

Rewrite the table as:

x F(x)

4 16 - 1

5 32 - 1

7 128 - 1

8 256 - 1

Express as a base of 2

x F(x)

4 2⁴ - 1

5 2⁵- 1

7 2⁷ - 1

8 2⁸ - 1

Notice that the function is 1 subtracted from 2 raised to the power of the input.

This is represented as:

$f(x) =2^x -1$

Hence, the equation of the table is $f(x) =2^x -1$

Read more about exponential functions at

brainly.com/question/9608962

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4 0

1 year ago

A 2.2 kg ball strikes a wall with a velocity of 7.4 m/s to the left. The ball bounces off with a velocity of 6.2 m/s to the righ

Naya [18.7K]

Answer:

The constant force exerted on the ball by the wall is 119.68 N.

Step-by-step explanation:

Consider the provided information.

It is given that the mass of the ball is m = 2.2 kg

The initial velocity of the ball towards left is 7.4 m/s

So the momentum of the ball when it strikes is = $2.2\times 7.4=16.28$

The final velocity of the ball is -6.2 m/s

So the momentum of the ball when it strikes back is = $2.2\times -6.2=-13.64$

Thus change in moment is: $16.28-(-13.64)=29.92$

The duration of force exerted on the ball t = 0.25 s

Therefore, the constant force exerted on the ball by the wall is:

$\frac{29.92}{0.25}=119.68$

Hence, the constant force exerted on the ball by the wall is 119.68 N.

6 0

3 years ago

4 cups of pineapple juice, 8 cups of orange juice and 12 cups of Sprite makes 18 servings. How many cups of pineapple juice will

Ronch [10]

Answer:

24 cups.

Step-by-step explanation:

18 serving requires 4 cups of Pine apple

for 108 serving, 108/18 = 6 times.

Hence all your ingredients will be multiplied by 6 times to prepare 108 servings.

6 0

2 years ago

Find the vertex of the graph of f(x) = x2 + 4x - 5.

Fofino [41]

You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
$\frac{df}{dx}=2x+4$
Solve the equation:
$2x+4=0$
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
$(-2)^2+4 \cdot (-2)-5=4-8-5=-9$

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>

7 0

3 years ago

The volume of this storage container is 1,400 cubic inches. The length is 20 inches and the width is 14 inches.

Vitek1552 [10]

Answer:

<h2>A) Height is the missing measurment.</h2><h2 /><h2> B) 1,400= 20 × 14 × H</h2><h2 /><h2>C) 1400 ÷ H = 280</h2>

Step-by-step explanation:

A) Length × Width × Height

B) V is 1,400

L is 20

W is 14

H is unknown so use a variable

C) 20 × 14= 280.

8 0

3 years ago

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