What is the solution to the following equation? |3x - 6| = 10

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

1) Set up the following two equations, because of the absolute value:

3x-6=10

3x-6=-10

2) Solve both equations:

3x=16

3x=-4

3) Divide both sides by 3:

x=16/3

x=-4/3

4) Make fractions proper:

x=5 1/3

x=-1 1/3

You might be interested in

At Andrew Jackson High School, students are only allowed to enroll in AP U.S. History if they have already taken AP World Histor

o-na [289]

Answer:

About 0.22

Explanation:

There are two sets:

Set W of incoming seniors who took AP World History, and

Set E of incoming seniors who took AP European History

And there is a subset, which is the intersection of those two sets:

Subset W ∩ E of senior students who took both.

The incoming seniors who are allowed to enroll in AP U.S. History, call them the subset S, is the set of those students that belong to W or E or both W ∩E.

By property of sets:

S = W + E - W∩E = 175 + 36 - 33 = 178

Then, 178 out of 825 incoming seniors took one or both courses, and the desired probability of a randomly selected incoming senior is allowed to enroll in AP U.S. History is: