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N76 [4]
2 years ago
14

|3x| = 9 Variable please.

Mathematics
1 answer:
Lorico [155]2 years ago
7 0

Answer:

x = 3 or x = -3

Step-by-step explanation:

The absolute value of 3x = 9

Divide nine by 3 to get 3

Absolute value represents the number of spaces an integer is from 0, so the answer could also be -3, as the absolute value of 3 x -3   (-9) is 9.

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juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi
Vaselesa [24]

Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount of hours worked by Juan.
  • Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

9x + 9y = 765

Simplifying the expression by 9:

x + y = 85 -> x = 85 - y.

Debbie worked five hours more than juan during the week, hence:

y = x + 5.

Since x = 85 - y, we replace in the expression:

y = 85 - y + 5.

2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

3 0
2 years ago
Simplify 5x(3x^2+2x-3)
Tcecarenko [31]

Answer:

15x^3 +10x^2 - 15x

Step-by-step explanation:

Hello!

Use the distributive property and multiply like terms.

<h3>Simplify</h3>
  • 5x(3x^2 + 3x - 3)
  • 5x(3x^2) + 5x(2x) + 5x(-3)
  • 15x^3 +10x^2 - 15x

The simplified form is 15x^3 +10x^2 - 15x.

4 0
2 years ago
Read 2 more answers
Write as a polynomial (3p–1)(2p+5)–6p(p–2)
julsineya [31]

\text{Simplify:}\\\\(3p-1)(2p+5)-6p(p-2)\\\\\text{Use FOIL:}\\\\6p^2+13p-5-6p(p-2)\\\\6p^2+13p-5-6p^2+12p\\\\\text{Combine like terms:}\\\\13p+12p-5\\\\\boxed{25p-5}

8 0
3 years ago
What is the area of this triangle?
Contact [7]

Answer: 43.5

Step-by-step explanation:

A=\frac{1}{2}(8)(12)(\sin 65^{\circ}) \approx \boxed{43.5}

6 0
2 years ago
What is the area of this figure?
olga_2 [115]
The area of this figure is 10
7 0
3 years ago
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