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Vesnalui [34]
3 years ago
14

4(2n+5) - 7(n+3) please

Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0

Answer:n-1

Step-by-step explanation:

4(2n+5) - 7(n+3)

8n+20-7n-21

n+20-21

n-1

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Nick's rectangular bedroom has a length of (2x−5) and a width of (x+1). Which equation describes the area, A, of Nick's bedroom
Mrac [35]

Answer:

A = 2x²-3x-5

Step-by-step explanation:

Given that,

The length of the bedroom, l = (2x-5)

Width of the bedroom, b = (x+1)

We need to find an equation for the area of the bedroom. We know that,

Area of a rectangle = lb

Put all the values,

A = (2x-5)(x+1)

= 2x²+2x-5x-5

= 2x²-3x-5

Hence, the area of the bedroom is equal to 2x²-3x-5.

5 0
3 years ago
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 <em>c</em> 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 <em>c</em> in (5, 8) such that g'(c) = 0.

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

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

Differentiate:

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

Let g'(x) = 0:

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

Solve for <em>x</em>. First, divide everything by negative seven:

0=3x^2-26x+40

Factor:

<h3>0=(x-2)(3x-20)</h3>

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}

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3 years ago
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iogann1982 [59]
And isosceles triangle always equals 180 degrees so to find the value of x what number would you need for the value to be 180
3 0
3 years ago
Please help me out please
AleksAgata [21]

Answer:

x = -0.8

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Step-by-step explanation:

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10x = -8 (Divide each side by 10)

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<CAD = 5x - 4

<CAD = 5(-0.8) - 4

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The answer would be 4 divided by 2/3 = 6 tiles
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