All categories

4 years ago

Use function notation to represent the average speed of the car on the interval from t = 2 to t = 7 .

Mathematics

1 answer:

Afina-wow [57]4 years ago

5 0

Answer:

$Average\ Speed = \frac{s(7) - s(2)}{5}$

Step-by-step explanation:

Given

t = 2 to 7

Required

Find the average speed over these intervals

The function is not given; so, I'll represent the function as s(t)

When $t = 2;$

$s(t)= s(2)$

When $t = 7$

$s(t) = s(7)$

$Average\ Speed = \frac{Change\ in\ Distance}{Change\ in\ Time}$

This gives:

$Average\ Speed = \frac{s(7) - s(2)}{7 - 2}$

$Average\ Speed = \frac{s(7) - s(2)}{5}$

You might be interested in

The point P(5,1) lies on the curve y=5x. If Q is the point (x,5x), find the slope of the secant line PQ for the following values

sveta [45]

Answer:

Step-by-step explanation:

We have been given that the point $P(1,5)$ lies on the curve $y=5x$ . Q is the point $(x,5x)$ . We are asked to find the slope of the secant line $PQ$ for $x=5.1$ .

Let us find y-coordinate corresponding to $x=5.1$ for point P as:

$y=5(5.1)=25.5$

Now, we will use slope formula to find required slope.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let point $(1,5)=(x_1,y_1)$ and point $(5.1,25.5)=(x_2,y_2)$ .

Using these points in slope formula, we will get:

$m_{PQ}=\frac{25.5-5}{5.1-1}=\frac{20.5}{4.1}=5$

Therefore, the slope of the line PQ is 5.

8 0

4 years ago

A part-time salesperson earns $175 per week plus a 5% commission on her sales. Find the minimum amount of sales she must make to

xxMikexx [17]

Answer:

The answer is 286 dollars.

Step-by-step explanation:

To find the 5% of a number is to multiply it by 0.05. 286x0.05 is 14.3

286+14.3 is equal to approximately 300 dollars.

5 0

3 years ago

Identifying Exponential Growth Functions Which is an exponential growth function? f(x) = 6(0.25)x f(x) = 0.25(5.25)x f(x) = –4.2

olga_2 [115]

Answer:

f(x) = 0.25(5.25)ˣ

Step-by-step explanation:

In order to show exponential growth, the numbers must be positive and the base of the exponent must be larger than 1.

Think of it as a percentage. The base of the exponent will be the percentage of the original amount taken each time; if it is less than 1.00 then it would shrink. Larger than 1.00 will grow. The only one with positive numbers and a growth factor of greater than 1 is f(x) = 0.25(5.25)ˣ.

7 0

4 years ago

Read 2 more answers

What is

maks197457 [2]

Huhhhhhhhhh whaatttt ?!?!

3 0

3 years ago

Select the correct answer. Given that a function, g, has a domain of -20 less than or equal to x less than or equal to 5 and a r

lisabon 2012 [21]

Answer:

No, ten is equal to ten. If you see a less than/equal to sign, the statement is true.A less than/equal to sign has a less than sign on top of an equal sign.

Step-by-step explanation:

5 0

3 years ago