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3 years ago

4+3(2r+2s)+3r Simplify this expression

1 answer:

3 0

Hello!

First you can distribute the 3

4 + 6r + 6s + 3r

Then you combine like terms

4 + 9r + 6s

The answer is 9r + 6s + 4

Hope this helps!

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The price of a CD that sells for 21% more than the amount (m) needed to manufacture the CD

zhuklara [117]

Are you looking for an equation or is there more to the question

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3 years ago

When looking at the mean of a data set, what information do you get when looking at the mean?

levacccp [35]

Answer:

Step-by-step explanation:

You first have to add all of the numbers in the data set, than you divide by how many numbers are in the data set

5 0

3 years ago

Read 2 more answers

What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5

jeyben [28]

Answer:

$\displaystyle c = \frac{20}{3}$

Step-by-step explanation:

According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.

We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.

So, differentiate the function. We can take the derivative of both sides with respect to x:

$\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right]$

Differentiate:

$g'(x) = -21x^2+182x-280$

Let g'(x) = 0:

$0 = -21x^2+182x-280$

Solve for x. First, divide everything by negative seven:

$0=3x^2-26x+40$

Factor:

Zero Product Property:

$x-2=0 \text{ or } 3x-20=0$

Solve for each case. Hence:

$\displaystyle x=2 \text{ or } x = \frac{20}{3}$

Since the first solution is not within our interval, we can ignore it.

Therefore:

$\displaystyle c = \frac{20}{3}$

3 0

3 years ago

An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b. This isosceles triangle has

Bas_tet [7]

Hey there! I’m happy to help!

We see that the two equal sides are longer than the base. This means that our a will be larger than b. The problem says that one of the longer sides is 6.3. Since the two longer sides are equal, that means that both longer sides are 6.3 cm. Therefore, we can simply subtract these two from the perimeter to find the shorter side, which is the base.

15.7-6.3-6.3=3.1

Therefore, the length of the base is 3.1 cm.

I hope that this helps!

3 0

3 years ago

Find a difference 118.419 - 6.74

nevsk [136]

Step-by-step explanation:

The difference between 118.419 and 6.74 is

= 111.679

Hope it helps

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3 years ago