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3 years ago

Complete each ordered pair so that it is a solution of the given linear equation

Mathematics

1 answer:

Anastasy [175]3 years ago

3 0

Answer:

(3, -2) and (9, 0)

Step-by-step explanation:

x-3(-2)=9

x+6= 9

x=3

9-3y=9

-3y=0

y=0

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Solve the inequality for x 3^(6x+18)<27^(3x)

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

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Exponents
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Division Property of Equality
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Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 3^{6x + 18} < 27^{3x}$

Step 2: Solve for x

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$

8 0

3 years ago

Read 2 more answers

Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each pie

erastovalidia [21]

Answer:

Each piece of cloth is (1/12) of a yard long.

Step-by-step explanation:

Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.

To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.

This is:

length = $\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd$

This means that the length of each piece of cloth is (1/12) of a yard long.

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3 years ago

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nexus9112 [7]

Answer:

To fill the sandbox, she would need 15 cubic feet.

Step-by-step explanation:

To find the volume of a box, multiply all of its dimensions together.

6ft * 5ft * 1/2ft = 15ft^3

So, since she bought 20 cubic feet of sand, she should have enough with 5 cubic feet left over.

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3 years ago

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djyliett [7]

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3 years ago

What is the y intercept if y=3/4x+2

Furkat [3]

It is in y intercept form
y = mx + b
where b is the y intercept

y = 3/4 x + 2
so b = 2

therefore the y intercept is 2

3 0

3 years ago