Acellus

Solve the inequality.<br> 4│x + 5│ - 2 ≤ 10

castortr0y [4]

Step-by-step explanation: To solve this absolute value inequality,

our goal is to get the absolute value by itself on one side of the inequality.

So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.

Now divide both sides by 3 and we have |x + 5| ≤ 3.

Now the the absolute value is isolated, we can split this up.

The first inequality will look exactly like the one

we have right now except for the absolute value.

For the second one, we flip the sign and change the 3 to a negative.

So we have x + 5 ≤ 3 or x + 5 ≥ -3.

Solving each inequality from here, we have x ≤ -2 or x ≥ -8.

6 0

3 years ago

Read 2 more answers

A city planner designs a park that is a quadrilateral with vertices at J(-1, 1), K (3, 3), L (5, -1), and

Liono4ka [1.6K]

9514 1404 393

Answer:

83 m

Step-by-step explanation:

The attached diagram shows the lengths of the midlines to be 3.16 and 5.10 units on the coordinate plane. The sum of these is (3.16 +5.10) = 8.26 coordinate plane units. Since each unit on the coordinate plane represents 10 m, the total path length is about ...

8.26(10 m) = 82.6 m ≈ 83 m

_____

The distance formula will tell you the distances are ...

AC = √(3² +1²) = √10

BD = √(5² +1²) = √26

The total path length is about (10 m)(√10 +√26) ≈ 82.61230 m ≈ 83 m.

3 0

3 years ago

Question in the image

Komok [63]

Answer:

0.4

Step-by-step explanation:

consider this like some lines overlapping each other.

one line (A) is 0.5 long, the other (B) 0.4 long.

together they are 0.8 long.

that means that they overlap at a length of 0.1 (they share a segment 0.1 long).

of the combined line of 0.8 that has 0.1 of a joined segment, the complimentary part of B is therefore 0.4 (0.8 minus the original length of B).

8 0

3 years ago

Sixty percent of the customers who go to Sears Auto Center for tires buy four tires and 22% buy two tires. Moreover, 14% buy few

Bezzdna [24]

Answer:

There is a 4% probability that a customer buys three tires.

Step-by-step explanation:

We have those following percentages

60% buy four tires. This is also the probability that someone buys four tires.

22% buy two tires

14% buy fewer than two tires(one or none).

P% buy three tires

The sum of the percentages must be 100%.

So

$60 + 22 + 14 + P = 100$

$96 + P = 100$

$P = 4$

There is a 4% probability that a customer buys three tires.

8 0

3 years ago

Jackie can clean a house in 6 hours. When Jackie and Veronica work together, they can clean a house in about

Digiron [165]

Answer:

5.4 hr i think

Step-by-step explanation:

3 0

3 years ago