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Darya [45]
2 years ago
10

How do I solve 5(x - 3) - 6(x - 2) ≤ 8

Mathematics
2 answers:
bulgar [2K]2 years ago
8 0

Answer:

<u>x ≥ -11</u>

Step-by-step explanation:

<u>Distribution of the terms</u>

  • 5(x - 3) - 6(x - 2) ≤ 8
  • 5x - 15 - 6x + 12 ≤ 8

<u>Combine like terms</u>

  • 5x - 15 - 6x + 12 ≤ 8
  • -x - 3 ≤ 8

<u>Add 3 on each side.</u>

  • -x - 3 + 3 ≤ 8 + 3
  • -x ≤ 11

<u>Divide by -1 (change sign)</u>

  • -x/-1 ≤ 11/-1
  • <u>x ≥ -11</u>
ANTONII [103]2 years ago
7 0
Do whatever is in the ( ) first
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A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in
AleksandrR [38]

The amount of the profit at x = -2 can not be determined because the number of the shirt can not be negative. Then the amount of the profit at x = 12 is $ 2 and at x = 17.5 is $ 35.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A company manufactures and sells shirts.

The daily profit the company makes depends on how many shirts they sell.

The profit, in dollars, when the company sells x shirts can be found using the function f(x) = 6x − 70.

Find and interpret the given function values and determine an appropriate domain for the function.

Then at x = −2, then the profit will be

For this condition, the amount of the profit can not be determined because the number of the shirt can not be negative.

Then at x = 12, then the profit will be

f(12) = 6 × 12 − 70

f(12) = 72 − 70

f(12) = $ 2

Then at x = 17.5, then the profit will be

f(17.5) = 6 × 17.5 − 70

f(17.5) = 105− 70

f(17.5) = $ 35

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

4 0
2 years ago
Is 91\100 in simplest form
Sloan [31]
Yes because there is no number that would go in both, eveningly
7 0
3 years ago
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The slope of the graph of the equation Y=2x-2 is 2. What is the y-intercept?
tangare [24]

Answer:

-2 or (0,-2)

Step-by-step explanation:

The slope intercept form is y=mx+b, where m represents the slop and b represents the y intercept. Since b here is -2, so is the y intercept's y value. The coordinate of the y intercept is (0,-2). Hope this helps!

8 0
3 years ago
I need help. What does n equal.<br> <img src="https://tex.z-dn.net/?f=5n%5E%7B2%7D%3D7n-2" id="TexFormula1" title="5n^{2}=7n-2"
Ede4ka [16]

Answer:

\boxed{\sf  n= \dfrac{2}{5} ,\: n=1}

Step-by-step explanation:

\rightarrow 5n^2 = 7n -2

\rightarrow 5n^2 - 7n +2=0

\rightarrow 5n^2 - 5n -2n+2=0

\rightarrow 5n(n - 1) -2(n-1)=0

\rightarrow (5n-2)(n-1)=0

\rightarrow 5n-2= 0,\: n-1=0

\rightarrow 5n= 2,\: n=1

\rightarrow n= \dfrac{2}{5} ,\: n=1

7 0
2 years ago
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100 Points. Help solve.
Nimfa-mama [501]

Answer:

Step-by-step explanation:

\frac{8}{x} =cos 60\\\frac{8}{x} =\frac{1}{2} \\x=8 \times2=16\\\frac{y}{x} =sin60\\\frac{y}{16} =\frac{1}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \\y=\frac{16}{\sqrt{2}} \times\frac{\sqrt{2}}{\sqrt{2}} \\y=\frac{16\sqrt{2}}{2} =8\sqrt{2}

7 0
3 years ago
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