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mrs_skeptik [129]
1 year ago
15

Solve for the equation, show all your work. This is an absolute value equation. You need to show both equations and the work for

both. Don't forget to check your answers.
|3x - 9| = 12
Mathematics
1 answer:
VMariaS [17]1 year ago
4 0

Answer:

x=-1 or 7

Step-by-step explanation:

We use casework on when 3x-9=12 and when 3x-9=-12.

For the first case, 3x-9=12, we add 9 to both sides to get

3x=21.

Dividing both sides by 3 gives

x=7.

For the second case, 3x-9=-12, we add 9 to both sides to get

3x=-3.

Dividing both sides by 3 gives

x=-1.

Checking both cases, we plug in x=7 and x=-1.

For the first case, we have |3(7)-9|=|21-9|=|12|=12,  which satisfies the equation.

For the second case, we have |3(-1)-9|=|-3-9|=|-12|=12, which also satisfies the equation.

This gives us two solutions to the equation; x=7 and x=-1.

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A number k plus 19.5 is less than or equal to 40
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A teacher needs to find out how many seventh-grade students will be going on a field trip. Which best describes the population t
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Answer:

In statistics , the population is the set of all possible observations as per the researcher's objective .

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Step-by-step explanation:

4 0
3 years ago
Plz help me solve and show your work.
xz_007 [3.2K]

Hi there!

\large\boxed{h = \frac{15x}{y}}

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

h = \frac{15x}{y}

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Let the original cost of laptop=x
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Original cost = saved amount * 1/savings
x = 140* 100/20
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