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3 years ago

The equation shown below involves a perfect square trinomial.

Mathematics

1 answer:

Yakvenalex [24]3 years ago

6 0

The correct answer is D

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Solve for x: |2x + 12| = 18

erastova [34]

|2x + 12| = 18

First, break down the problem into 2 equations . / 2x + 12 = 18 and -(2x + 12) = 18
Second, solve the first equation. / $2x + 12 = 18$
Subtract 12 from both sides. / $2x = 18 - 12$
Subtract 18 - 16. / $2x = 6$
Divide both sides by 2. / $x = \frac{6}{2}$
Simplify. / $x = 3$
Third, solve the second equation. / -(2x + 12) = 18
Simplify your brackets. / $-2x - 12 = 18$
Add 12 to both sides. / $-2x = 18 + 12$
Add 18 + 12. / $-2x = 30$
Divide both sides by -2. / $x = \frac{30}{-2}$
Simplify. / $x = -\frac{30}{2}$
Simplify. / $x = -15$
Fourth, collect the solutions. / $x = -15,3$

Answer: x = -15, 3

8 0

3 years ago

A composite figure is divided into two congruent trapezoids, each with a height of 4 cm.

ad-work [718]

Answer:

the answer is C

Step-by-step explanation:

6 0

3 years ago

I need help!!! please help me out as quick as possible

kvv77 [185]

Answer:

Step-by-step explanation:

Given

$a_{n}$ = $4^{n-1}$ , then

$a_{10}$ = $4^{(10-1)}$ = $4^{9}$ = 262144 → D

8 0

4 years ago

She needs to buy at least 100 chairs. Chairs with arms cost $80. Chairs without arms cost $70. Ms. Robinson can spend, at most,

stealth61 [152]

Answer:

50 chairs with arms and 50 without arms will cost $7500

Step-by-step explanation:

Create two equations using the given information. The unknowns are :

W = Number of chairs with arms

N = Number of chairs with No arms

First equation (associated with the total number of chairs to buy):

W + N = 100

Second equation (associated with the amount to spend):

80 W + 70 N = 7500

Solving: solve for W in the first equation: W = 100 - N

Use it to substitute for W in the second equation:

80 (100 - N) + 70 N = 7500

8000 - 80 N + 70 N = 7500

subtract 8000 from both sides and combine

- 10 N = - 500

Divide both sides by -10 in order to solve for N

N = -500 / (-10) = 50

Now use this value in the substitution equation to solve for W:

W = 100 - 50 = 50

So the person can buy 50 chairs with arms and 50 chairs without arms paying for them $7,500.

8 0

3 years ago

There are 3 different urns of 12 balls with 4 white balls in each urn. three players—a, b, and c—successively draw from their re

Viktor [21]

1. Each player has a 1/3 chance of winning
2. Player A has a 1/3 chance of winning
Player B has a 4/11 chance of winning
Player C has a 2/5 chance of winning

4 0

3 years ago