All categories

3 years ago

What is the solution of 4 |x - 9| + 6 > 42?

Mathematics

1 answer:

Galina-37 [17]3 years ago

8 0

Answer:

0 <x> 18

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

(4 • (x - 9) + 6) - 42 > 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

4x - 72 = 4 • (x - 18)

Equation at the end of step 3 :

4 • (x - 18) > 0

Step 4 :

4.1 Divide both sides by 4

Solve Basic Inequality :

4.2 Add 18 to both sides

x > 18

You might be interested in

What is the equivalent of 6x-8y?

liberstina [14]

Plug y=-5 into the equation
6x+8(-5)=-22
6x-40=-22
6x=-22+40
6x=18
x=3

6 0

3 years ago

If x=6 and y=−4, evaluate the following expression:10−4xy

melomori [17]

Step-by-step explanation:

10 - 4(6) (-4)

10 - 4(-24)

10 + 96 = 106

3 0

3 years ago

Read 2 more answers

in slope intercept form, what is the equation of the line having a slope of 2 and passing through the point (6,24)?

Yanka [14]

Answer: y = 2x + 12

Explanation: The slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. Substituting 2 for m, 6 for x, and 24 for y, we have 24 = 2(6) + b. Simplifying, we get that b = 12, so the equation is y = 2x + 12.

4 0

2 years ago

Read 2 more answers

Prove that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).

telo118 [61]

Answer:

Proved

Step-by-step explanation:

Given

$B =(-2,-1)$

$U = (0,3)$

$G = (3,2)$

$S = (4,-3)$

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

Taking BU and GS as a pair

First, we calculate the slope using:

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

For BU

$B =(-2,-1)$ --- $(x_1,y_1)$

$U = (0,3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{3 - -1}{0- -2}$

$m = \frac{4}{2}$

$m = 2$

For GS

$G = (3,2)$ --- $(x_1,y_1)$

$S = (4,-3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{-3-2}{4-3}$

$m = \frac{-5}{1}$

$m = -5$

The slope of BU and GS are not the same; hence, they are not parallel.

Taking BS and GU as a pair

Calculate the slope

For BS

$B =(-2,-1)$ --- $(x_1,y_1)$

$S = (4,-3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{-3 - -1}{4- -2}$

$m = \frac{-2}{6}$

$m = -\frac{1}{3}$

For GU

$G = (3,2)$ --- $(x_1,y_1)$

$U = (0,3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{3-2}{0-3}$

$m = \frac{1}{-3}$

$m = -\frac{1}{3}$

The slope of BS and GU are the same; hence, they are parallel.

BUGS is a trapezoid because BS and GU have the same slope

8 0

3 years ago

Please help! Will give brainliest!

jasenka [17]

The answer is 82 and your welcome

3 0

3 years ago

Read 2 more answers