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nika2105 [10]
3 years ago
11

Another question math

Mathematics
2 answers:
Genrish500 [490]3 years ago
4 0
-6.7 and -8.8 and 11.(-2)
netineya [11]3 years ago
4 0
The second, third and fifth box
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The length of a rectangle is 3 cm greater than it's width. The area of the rectangle is 40 cm². Find the length and width of the
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AleksAgata [21]

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1. e

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Step-by-step explanation:

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UkoKoshka [18]

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18 lawns

Step-by-step explanation:

Lets take the number of lands that would be mow(ed) in 36 hours as x

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Thriugh\ the\ proportion\ method\ , we\ get\ \\\\3 : 6::x:36\\36*3=6x\\\frac{36*3}{6} =x\\\frac{108}{6}=x\\x=18

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Sam receives the following scores on his English tests: 63, 84, and 96. What average score does he need on the last two tests in
OLEGan [10]
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3 years ago
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ale4655 [162]

Answer:

  (c)  x = 2 and x = -8

Step-by-step explanation:

The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.

__

The rules of logarithms that apply are ...

  \log(a)+\log(b)=\log(ab)\qquad\text{all logarithms to the same base}\\\\\log_b(a)=c\ \Longleftrightarrow\ b^c=a\\\\

__

<h3>take antilogs</h3>

We can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.

  \log_4(x)+\log_4(x+6)=2\\\\\log_4(x(x+6))=2\qquad\text{using the first rule}\\\\4^2=x(x+6)\qquad\text{using the second rule}

__

<h3>solve the quadratic</h3>

Adding (6/2)² = 9 to both sides will "complete the square."

  16 +9 = x² +6x +9 . . . . . . . add 9

  25 = (x +3)²

  ±√25 = x +3 = ±5 . . . . . take the square root(s)

  x = -3 ±5 = {-8, +2}

The two potential solutions are x = 2 and x = -8.

8 0
2 years ago
Read 2 more answers
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