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3 years ago

Evaluate the difference quotient for the given function. Simplify your answer.

Mathematics

1 answer:

IgorC [24]3 years ago

7 0

Answer:

-5 - h

Step-by-step explanation:

ƒ(x) = 1 + 5x - x²

[f(5 + h) -f(5)]/h

= [1 + 5(5 + h) - (5 + h)² - 1 - 5(5) +5²]/h

= (25 + 5h - 25 - 10h - h² - 25 + 25)/h

= (-5h - h²)/h

= -5 - h

The difference quotient is -5 - h.

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A rectangle has perimeter 20 m . Express the area of the rectangle as a function of the length of ones its side.

kondor19780726 [428]

Answer:

A = 10W - W²

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

Area of a rectangle =LW

L is the length

W is the width

Given

Perimeter = 20m

20 = 2 (L+W)

10 = L+W

L = 10 - W ....2

Substitute equation 2 into the formula for calculating the area

Recall that A = LW

A = (10-W)W

A = 10W - W²

Hence the area of the rectangle as a function of the length of ones its side is expressed as A = 10W - W²

6 0

3 years ago

The sum of two numbers is 1. If one number is subtracted from the other, their difference is - 17. Find the numbers.

Maksim231197 [3]

Answer:

-17(-)-18=-17+18=1 or -17+18=1

Step-by-step explanation:

if -17 is one number you Add 18.

-17(-)-18=-17+18=1

8 0

3 years ago

A set of data items is normally distributed with a mean of 500. Find the data item in this distribution that corresponds to the

madreJ [45]

Answer:

580.

Step-by-step explanation:

The provided information are:

Population mean $(\mu)$ = 500

Population standard deviation $(\sigma)$ = 40

z-score = 2

The formula to calculate the z-score is:

$z=\frac{x-\mu}{\sigma} \\$

x = data item.

The data item can be computed as:

$2=\frac{x-500}{40} \\\\80=x-500\\x=580$

Hence, the data item is 580.

4 0

4 years ago

This week Andres will practice with his band for 1 1\2 hours Monday, 1 3\4 hours on Tuesday, and 2 hours Wednesday. Next week An

Bess [88]

Answer:

Step-by-step explanation:

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3 years ago

The icecream parlor has 30 flavors, but for the last week they have only had 25 flavors. Find the percent of change. Tell if it

irina [24]

Answer:

The percent of change is 20%.

And it is increased by last month.

Step-by-step explanation:

Given:

The ice cream parlor has 30 flavors, but for the last week they have only had 25 flavors.

Now, to find the percent of change.

Flavors ice cream parlor has = 30.

Flavors last week they had = 25.

So, the flavors increased from last week by:

$30-25=5\ flavors.$

Now, to get the percent of change:

$\frac{5}{25} \times 100$

$=\frac{500}{25}$

$=20\%.$

Thus, the percent of change is 20%.

The flavor is increased by last month.

Therefore, the percent of change is 20%.

And it is increased by last month.

5 0

3 years ago