All categories

4 years ago

Solve for x: −3|2x + 6| = −12

Mathematics

1 answer:

spayn [35]4 years ago

8 0

Start with

$-3|2x+6|=-12$

Divide both sides by -3

$|2x+6|=4$

If the absolute value of a number is 4, that number can either be 4 or -4: we have the two solutions

$2x+6=4 \iff 2x=-2 \iff x=-1$

$2x+6=-4 \iff 2x=-10 \iff x=-5$

You might be interested in

A survey of athletes at a high school is conducted, and the following facts are discovered: 40% of the athletes are football pla

Step2247 [10]

Answer:

86%

Step-by-step explanation:

Let

A= Football player

B= Basket ball player

Football players=40%

Basketball players=59%

Both football and basket ball players=13%

Total percent=100%

The probability that athlete is a football player=P(A)= $\frac{40}{100}=0.40$

The probability that athlete is a basketball player=P(B)= $\frac{59}{100}=0.59$

The probability that athlete is both basket ball player and football player= $P(A\cap B)=\frac{13}{100}=0.13$

We have to find the probability that athlete is either a football player or a basketball player.

It means we have to find $P(A\cup B)$

We know that

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

$P(A\cup B)=0.40+0.59-0.13=0.86=0.86\times 100=$ 86%

Hence, the probability that the athlete is either a football player or a basketball player=86%

5 0

3 years ago

If X || Y and Y || Z then___

den301095 [7]

Answer:

X is parallel to Z

X || Z

Step-by-step explanation:

This is called the transitive property.

It says something like:

If f is related to g and g is related to h, then f is related to h.

The parallel relationship is transitive.

That is,

if X is parallel to Y and Y is parallel to Z, then X is parallel to Z.

6 0

4 years ago

Please help i need to help

miss Akunina [59]

Answer:

4.25

Step-by-step explanation:

Step 1: 23-(17-12)²+6.25

Step 2: 23-5²+6.25

Step 3: 23-25+6.25

5 0

3 years ago

PLEASE HELP I PUT IT FOR 40 PIONTSSSSSSSS

Agata [3.3K]

Answer:

its only 20

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

12. We use rule/law #2 of logarithms to condense log 2 - log 5.<br> True<br> O False

Sergio [31]

Answer:

log (2/5)

Step-by-step explanation:

The rule/law you have in mind is as follows: log a - log b = log (a/b).

Thus, your log 2 - log 5 = log (2/5).

4 0

3 years ago