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

Which data value has the highest frequency? 116 316 38 58

lara31 [8.8K]

1/16. that is the value that has the most x's on the graph.

8 0

3 years ago

Read 2 more answers

(-33)+(-7)=

sasho [114]

Answer:

-40

-6

Step-by-step explanation:

-33+-7 you are adding two negatives

9+(-15) you are adding a negative to a positive which gets you closer to zero

5-(-46) you are subtracting a negative which is adding

7 0

3 years ago

What is the surface area of the right cylinder below. radius 3 height 7

lina2011 [118]

Answer:

160 sq. uits

Step-by-step explanation:

160 sq. uits é a resposta

4 0

2 years ago

Compare 5,000 and 500

tamaranim1 [39]

5,000 is 10 times greater than 500

4 0

3 years ago

22. Determine the value of c so that the line

tiny-mole [99]

Answer:

If the lines BC and DE are parallel, the value of c is c=-2

Step-by-step explanation:

We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints D(c, -7) and E(5, -3).

Using slope formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$ we can find point c

When 2 lines are parallel there slope is same.

So, Slope of line BC =Slope of Line DE

$\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_1}{x_2-x_1}$

We have:

$x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \$

Putting values and finding c

$\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2$

So, If the lines BC and DE are parallel, the value of c is c=-2

8 0

3 years ago