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3 years ago

Marcie solved the following inequality, and her work is shown below:

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

8 0

Answer:

She forgot to flip the inequality when dividing by a negative

Step-by-step explanation:

−2(x − 5) − 12 ≤ 4 + 6(x + 3)

Distribute the -2 and the 6

-2x+10 -12 ≤ 4 + 6x + 18

Combine like terms

-2x-2 ≤ 6x+22

Subtract 6x from each side

-2x-6x-2 ≤ 6x-6x+22

-8x-2 ≤ +22

Add 2 to each side

-8x-2+2 ≤ +22+2

−8x ≤ 24

Divide by -3. Remember when multiplying or dividing by a negative to flip the inequality

-8x/-8 ≥ 24/-8

x≥-3

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Rewrite in simplest rational exponent form square root of x times the fourth root of x. Show each step of your process.

belka [17]

Answer:

$\sqrt[4]{ {x}^{3} }$

Step-by-step explanation:

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2 years ago

15 For exercise, Cindy swims every 6 days and jogs every 8 days. She did both today.

Drupady [299]

Answer:

24 days

Step-by-step explanation:

To find the answer we need to find the LCM

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6=2*3

8=2^3

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So she'll swim and jog on the same day in 24 days

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4 years ago

Using the digits 0-9, no more than one time each, place a digit in a box to create an equation with a solution x= -1/2

Brums [2.3K]

Three equations are:

2x+1=6x+3

8x+6=2x+3

8x+4=2x+1

<u>Step-by-step explanation:</u>

Using the digits 0-9, no more than one time each, place a digit in a box to create an equation with a solution x= -1/2 . We need to Create three equations. Formula is below. __ x+ __=__ x+ __ . Let's find out:

2x+1=6x+3

Let's verify this :

⇒ $2x+1=6x+3$