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Elodia [21]
3 years ago
11

At what root does the graph of f(x)=(x+4)^6(x+7)^5 cross the x axis?

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
5 0

Answer:

f(x) crosses the x-axis, then

f(x)=(x+4)^6(x+7)^5 = 0

=> x+4 =0 or x+7=0

=> x =-4 or x = -7

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The 13-foot string is arranged into a rectangle. Let L denote the length of the rectangle,
soldi70 [24.7K]

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

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  • A = \frac{13L - L^{2} }{2}

The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

\frac{13}{2} = L + W

So that;

W = \frac{13}{2} - L

The required formula for the width as a function of L is: W = \frac{13}{2} - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( \frac{13}{2} - L)

  = \frac{13}{2}L - L^{2}

A = \frac{13L - L^{2} }{2}

The expression for the area A is: A = \frac{13L - L^{2} }{2}

Visit: brainly.com/question/10452031

5 0
2 years ago
Addison worked 11 more hours this week than last week. In total, she worked 65 hours this week and last week. Using the equation
Anestetic [448]

Answer:

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Just do the reverse. 65-11 = 54. 54 / 2 = 27.

5 0
2 years ago
For the following inequality, indicate whether the boundary line should be dashed or solid. x ≤ 5
lukranit [14]
Answer: The boundary lien should be solid because the inequality indicates that the value “5” is included. Remember: “greater than or equal to; less than or equal to,” as solid lines. While “<;>” are dashed lines.
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sergeinik [125]
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Fraction = \frac{1}{3}

Equivalent decimal = 1 ÷ 3 = 0.33
3 0
3 years ago
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