Help pleaseeeeeeeeee

Given A = {18, 6, -3, -12} Determine all elements of set A that are in the solution of the inequality 2/3x + 3 < -2x -7

creativ13 [48]

Plug in each value in the set into x, and evaluate both sides.
The values of x that make the inequality true are the answer.

Start with 18.
2/3x + 3 < -2x -7
2/3(18) + 3 < -2(18) - 7
12 + 3 < -36 - 7
15 < -43 is false, so 18 does not work.

Now do 6.
2/3x + 3 < -2x -7
2/3(6) + 3 < -2(6) - 7
4 + 3 < -12 - 7
7 < -19 is false, so 6 does not work.

Now do -3.
2/3x + 3 < -2x -7
2/3(-3) + 3 < -2(-3) - 7
-2 + 3 < 6 - 7
1 < -1 is false, so -3 does not work.

Now do -12.
2/3x + 3 < -2x -7
2/3(-12) + 3 < -2(-12) - 7
-8 + 3 < 24 - 7
-5 < 17 is true, so -12 does not work.

7 0

2 years ago

Ppllllzzzzz help me plz

Sladkaya [172]

1) a∠12 because this sign means you must be less than 12 years old as a stands for age maybe.
2) it's the 3rd one because always remember that a closed circle is for ≤ or ≥
so now you've to choose between the last two.. always remember if the sign directs right the graph is left and vice versa..Hope this helps:)

7 0

2 years ago

Which of the following best describes the parallelograms shown below?

Nesterboy [21]

Answer:

The statement "Parallelogram 1 and parallelogram 2 are similar because parallelogram 2 can be created by rotating, reflecting, translating and dilating parallelogram 1" is correct.

Step-by-step explanation:

This statement is correct because the two shapes cannot be congruent; parallelogram 2 is a different size than parallelogram 1. They must be similar, and the third statement is the only statement with a dilation.

8 0

2 years ago

[HELPPPP] tan is op/adj, i just need the fraction form so would it be 8/15?

ivanzaharov [21]

Yes it would be 8/15 the adjacent is always on the bottom and opposite is always on the side not the leaning side but the straight side

6 0

2 years ago

You deposit $100 in a savings account. The account earns 11% simple interest per year.

Gnesinka [82]

Answer:

Step-by-step explanation:

<h3>principle ( p ) = $100</h3><h3>time ( t ) = 10 years </h3><h3>rate ( r ) = 11%</h3><h3>simple interest = (p × r × t)÷ 100</h3><h3> = ( $100 × 11 × 10 )÷ 100</h3><h3> = 11000 ÷ 100</h3><h3> = $110</h3>

<h3>interest = simple interest - principle </h3><h3>interest = $110 - $100</h3><h3> = $10</h3>

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PLZ FOLLOW ME

5 0

2 years ago