All categories

3 years ago

I don’t know how to solve this

Mathematics

1 answer:

sleet_krkn [62]3 years ago

6 0

9514 1404 393

Answer:

x ∈ (-∞, 9) U (-1, ∞)

Step-by-step explanation:

Get the absolute value by itself. Do that by multiplying by 4.

|3x +15| > 12

This resolves to two cases:

3x +15 > 12

x +5 > 4 . . . . divide by 3

x > -1 . . . . . . .subtract 5

-(3x +15) > 12

x +5 < -4 . . . . divide by -3

x < -9 . . . . . . . subtract 5

Then the solution in interval notation is ...

x ∈ (-∞, 9) U (-1, ∞)

You might be interested in

Nicholas drew a triangle with 45, 35, and 100 degree angles. Is there another triangle with the same three angles but different

Anna11 [10]

Answer:

Yes, there are infinite triangles with the same three angles but different side lengths

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

therefore

There are infinite triangles with the same three angles but different side lengths

6 0

3 years ago

Whats the slope of (-1,4) and (-2,5)

12345 [234]

Answer:

the slope is -1

Step-by-step explanation:

rise over run

7 0

2 years ago

seven pounds of potatoes were used to make a potato soup. the cook served all of the soup in sixteen equal servings. how many po

marshall27 [118]

Answer:

0.4375

Step-by-step explanation:

7/16=0.4375

If you have any additional questions let me know. :)

8 0

3 years ago

How to find the scale factor, ratio of area, & ratio of volume?

Andreas93 [3]

Step-by-step explanation:

If the scale factor of two similar solids is a: b:. then

(1) the ratio of corresponding perimeters is a:b

(2) the ratio of the base areas, of the lateral areas, and of the total areas is $a^2: b^2$

(3) the ratio of the volumes is $a^3:b^3$

3 0

3 years ago

What would be the equation -2x+y+3=0 in y=mx+b form?

ololo11 [35]

Answer:

The answer is y = 2x - 3.

Step-by-step explanation:

Move 2x to the right side of the equation by adding it to both sides:

-2x + y + 3 = 0

+ 2x + 2x

y + 3 = 2x

Then, move 3 to the right side of the equation by subtracting it form both sides:

y + 3 = 2x

- 3 - 3

y = 2x - 3

8 0

3 years ago