All categories

3 years ago

Find the average rate of change for the interval [2,5] for the following function f(x)=3^x

Mathematics

1 answer:

a_sh-v [17]3 years ago

5 0

Answer:

Step-by-step explanation:

1. Find the values at 2 and 5: 3^2 = 9 3^5 = 243

2. Subtract to find the difference 243-9 = 234

3. Divide by the interval : 234/(5-2) = 78

You might be interested in

The dilation rule DF,3(x, y) is applied to △ABC, where the center of dilation is at F(1, 1). The distance in the x-coordinates f

Vsevolod [243]

The first answer is 3, the second one is 1, & the third one is (-8,4)

5 0

3 years ago

Read 2 more answers

The price of a buffet lunch is $14.80 per adult and $12 per children. William paid a total of $95.2 for a group of m adults and

lianna [129]

Answer:

$14.80(m) + $12(n) = $95.2

Solved:

$14.80(4) + $12(3) = $95.2

Step-by-step explanation:

m represents Adults ($14.80m) | n represents Children ($12n)

4 Adults times $14.80 equals $59.2

3 Children times $12 equals $36

Add $36 and $59.2 and you get $95.2

5 0

3 years ago

Read 2 more answers

On payday you received a check for $320 and took it to the bank to cash it. You received 25 bills made up of $5's and $20's. How

Sunny_sXe [5.5K]

The answer will be 11 dollar bills

8 0

3 years ago

A football team tries to move the ball forward as many yards as possible on each play, but sometimes they end up behind where th

Illusion [34]

Answer:

Given:

The distances, in yards, that a team moves on its first five plays are 2, 21, 4, 3, and 25.

Solved:

1. The greatest number is 25

2. If the moved distances are square, which one is largest?

3. The move which is greater than 4 is considered "big play"

=> 21 and 25 are big play (21 > 4, 25 > 4)

Hope this helps!

3 0

3 years ago

The slope of AB is 3 over 4 and point A is (2. 9). How many possible locations are there for point

nignag [31]

Answer:

Part 1) There are infinity locations for the point B

Part 2) see the explanation

Step-by-step explanation:

Part 1) How many possible locations are there for point B?

we know that

The equation of a line in point slope form is equal to

$y-y1=m(x-x1)$

where

$m=\frac{3}{4}$

$(x1,y1)=(2,9)$

substitute

$y-9=\frac{3}{4}(x-2)$

Convert to slope intercept form

$y-9=\frac{3}{4}x-\frac{6}{4}$

$y=\frac{3}{4}x-\frac{6}{4}+9$

$y=\frac{3}{4}x+\frac{30}{4}$

$y=0.75x+7.5$

Point B can be any point ( different from point A) that satisfies the linear equation

therefore

There are infinity locations for the point B

Part 2) Describes a method to location the point

To locate the point, one of the two coordinates must be known. The known coordinate is placed into the linear equation and the equation is solved to find the value of the missing coordinate

Example

Suppose that the x-coordinate of point B is 4

For x=4

substitute in the linear equation

$y=0.75(4)+7.5=10.5$

The coordinates of point B is (4,10.5)

3 0

3 years ago