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nadezda [96]
4 years ago
5

Find the average rate of change of an exponential function f (x) over the interval 1 ≤ x ≤ 3.

Mathematics
1 answer:
Neko [114]4 years ago
8 0

Answer:

Option b. 12

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

The average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

In this problem we have

a=1

b=3

f(a)=f(1)=1  

f(b)=f(3)=25

Substitute

\frac{25-1}{3-1}=12

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M/3-4&lt;-1 <br> answer this question<br> please show your work
Len [333]

Answer:

m<9

Step-by-step explanation:

m/3 - 4 < -1

        +4  +4

______________

m/3<3

 × 3 ×3

__________

m<9

Hope this Helps!

3 0
3 years ago
Read 2 more answers
The triangles are similar. Write a similarity statement for the triangles.
baherus [9]

Answer:

Option (2)

Step-by-step explanation:

In the two triangles ΔWVZ and ΔYXZ,

If the sides WV and XY are parallel and the segments WY and VX are the transverse.

∠X ≅ ∠V [Alternate angles]

∠W ≅ ∠Y [Alternate angles]

Therefore, ΔWVZ ~ ΔYXZ [By AA postulate of the similarity]

Option (2) will be the answer.

4 0
3 years ago
The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is me
Amanda [17]

Answer: 299 m/s

Step-by-step explanation:

The first step is to take the first derivative of the equation given. This will give us the equation for velocity which we will then substitute the 7 in for t.

To derive the equation you multiply the coefficient by the power of the variable, then subtract one from the variable.

v(t) = 6t^2 + 5

Now input 7 in for t to find the velocity.

v(7) = 6(7)^2 + 5

v(7) = 299 m/s

6 0
3 years ago
The sum of two numbers is no more than 28. Let x represent the first number, and let y represent the second number. Which inequa
labwork [276]
D, because the sum is no more than 28 so it could be equal or less than.
3 0
3 years ago
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Sarah bought 3 1/2 pints of blueberries to make jelly. She ate 3/4 of a pint of berries on her way home. How many pints of berri
AnnyKZ [126]

Answer:

11/4 or 2.75 pints

Step-by-step explanation:

We want to find the difference between the original amount of blueberries and the amount she ate

original amount-amount ate

3 1/2 -3/4

To subtract, we need common denominators

The common denominator of 2 and 4 is 4

3 1/2=7/2

Multiply by 2/2 to get a common denominator of 4

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Now, we have common denominators and can subtract

14/4-3/4

Subtract the numerators, and leave the denominators as 4

11/4 =2.75

She has 11/4 or 2.75 pints left

8 0
3 years ago
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