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3 years ago

Find the original price. Round to the nearest cent. Sale price: $42 Discount: 30%

Mathematics

1 answer:

adelina 88 [10]3 years ago

6 0

Answer:

140

Step-by-step explanation:

Calculator Recommended:

100 / 30 = 3.3333333

Multiply it by 42 and you'll get the original cost.

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Estimate the product of 25.311 × 4.65. Round each number to the nearest whole number. Estimate the product of 25.311 × 4.65. Rou

Drupady [299]

25 * 5 = 125

answer 125

5 0

3 years ago

Lauren has a picture that measures 8 inches by 10 inches. she buys a picture frame that is x inches wide.

I am Lyosha [343]

A . y = 2(18 + x)
b. y = (8 + x)(10 + x)
or y = x^2 + 80 + 18x

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3 years ago

Find the average rate of change of f(x)=-x^2+2x+2 from x=2 to x=6. Simplify your answer as much as possible.

Eduardwww [97]

Answer:

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

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

Here [ a, b ] = [ 2, 6 ] , then

f(b) = f(6) = - 6² + 2(6) + 2 = - 36 + 12 + 2 = - 22

f(a) = f(2) = - 2² + 2(2) + 2 = - 4 + 4 + 2 = 2 , then

average rate of change = $\frac{-22-2}{6-2}$ = $\frac{-24}{4}$ = - 6

8 0

3 years ago

For each pair, determine whether it is a solution to 6x+7y=19

Gre4nikov [31]

Answer:

Step-by-step explanation:

(0, -3) not a solution

(2,1) solution

(3,-4) not a solution

(-5,7) solution

5 0

3 years ago

What is the average rate of change of f over the interval -1 on a separate sheet of paper and upload the work as a photo. Show a

Anarel [89]

Answer:

Average rate of change for the function $f(x)= x^2-x-1$ over the interval -1<x<1 is -1

Step-by-step explanation:

We need to find average rate of change of f over the interval -1 < x < 1

The function given is: $f(x)= x^2-x-1$

The formula used to find average rate of change is:

$Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}$

We have, a = -1 and b = 1

Finding f(b) when b=1

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

Now, finding f(a), when a= -1

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

Now, putting values and finding average rate of change

$Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1$

So, average rate of change for the function $f(x)= x^2-x-1$ over the interval -1<x<1 is -1

4 0

3 years ago