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3 years ago

The input value 2.

1 answer:

5 0

Your answer is 9.

Since you have

2(2)^2 you get 2(4) which is 8.

Then you have -3(2) which is -6.

Lastly you have the 7.

When you add it up you get.

9

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Solve each inequality, and then drag the correct solution graph to the inequality.

Nesterboy [21]

The correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

$4(9x-18)>3(8x+12)$

First, clear the brackets,

$36x-72>24x+36$

Then, collect like terms

$36x-24x>36+72\\12x >108$

Now divide both sides by 12

$\frac{12x}{12} > \frac{108}{12}$

∴ $x > 9$

For the second inequality

$-\frac{1}{3}(12x+6) \geq -2x +14$

First, clear the fraction by multiplying both sides by 3

$3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)$

$-1(12x+6) \geq -6x +42$

Now, open the bracket

$-12x-6 \geq -6x +42$

Collect like terms

$-6 -42\geq -6x +12x$

$-48\geq 6x$

Divide both sides by 6

$\frac{-48}{6} \geq \frac{6x}{6}$

$-8\geq x$

∴ $x\leq -8$

For the third inequality,

$1.6(x+8)\geq 38.4$

First, clear the brackets

$1.6x + 12.8\geq 38.4$

Collect likes terms

$1.6x \geq 38.4-12.8$

$1.6x \geq 25.6$

Divide both sides by 1.6

$\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}$

∴ $x \geq 16$

Let the graphs be A, B and C from left to right

The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

8 0

2 years ago

The weights of 12-year old boys are normally distributed with a mean of 89 lbs. If 68% of 12 year old boys are between the weigh

cricket20 [7]

This is the answer B. This is because if you want to be treated the way you do treat people.

6 0

2 years ago

What two numbers add up to 6.5 and multiply to .64

melomori [17]

You multiply by 10 or more

5 0

3 years ago

CAN SOMEBODY PLZZ HELP IM STUDYING FOR A MATH TEST PLLZZZ HELP!!! Thank You!

KatRina [158]

Answer:

Step-by-step explanation:

just do -4x-4=16 then 6x5=30 than add 16+30 =46

8 0

3 years ago

I need help please. I need the the discount and selling price. Thank you

salantis [7]

Answer:

<h2><u>15.12 is the discount</u></h2><h2><u>68.88 is the sell price</u></h2>

Step-by-step explanation:

When you are taking off percentages from numbers, you first want to make the percent a number. This step is super simple. Just divide the 18 by 100

This gets you 0.18

Now multiply

84 * 0.18 = 15.12

So 15.12 is the discount

Then take 84 and subtract 15.12

84 - 15.12 = 68.88

So 68.88 is the sell price

5 0

3 years ago