1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andreev551 [17]
2 years ago
15

Solve each inequality, and then drag the correct solution graph to the inequality.

Mathematics
1 answer:
Nesterboy [21]2 years ago
8 0

The correct solution graph to the inequalities are

4(9x-18)>3(8x+12)  →  C

-\frac{1}{3}(12x+6) \geq -2x +14  → A

1.6(x+8)\geq 38.4  →  B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

4(9x-18)>3(8x+12)

First, clear the brackets,

36x-72>24x+36

Then, collect like terms

36x-24x>36+72\\12x >108

Now divide both sides by 12

\frac{12x}{12} > \frac{108}{12}

∴ x > 9

For the second inequality

-\frac{1}{3}(12x+6) \geq -2x +14

First, clear the fraction by multiplying both sides by 3

3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)

-1(12x+6) \geq -6x +42

Now, open the bracket

-12x-6 \geq -6x +42

Collect like terms

-6 -42\geq -6x +12x

-48\geq 6x

Divide both sides by 6

\frac{-48}{6} \geq \frac{6x}{6}

-8\geq x

∴ x\leq  -8

For the third inequality,

1.6(x+8)\geq 38.4

First, clear the brackets

1.6x + 12.8\geq 38.4

Collect likes terms

1.6x \geq 38.4-12.8

1.6x \geq 25.6

Divide both sides by 1.6

\frac{1.6x}{1.6}\geq  \frac{25.6}{1.6}

∴ x \geq  16

Let the graphs be A, B and C from left to right

The first graph (A) shows x\leq  -8 and this matches the 2nd inequality

The second graph (B) shows x \geq  16 and this matches the 3rd inequality

The third graph (C) shows x > 9 and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

4(9x-18)>3(8x+12)  →  C

-\frac{1}{3}(12x+6) \geq -2x +14  → A

1.6(x+8)\geq 38.4  →  B

Learn more here: brainly.com/question/17448505

You might be interested in
Why can the formula below be used to find the area of a square?<br> 1/2 (d1d2)
AlladinOne [14]

Answer:

hihihihih

Step-by-step explanation:

8 0
2 years ago
As her senior project, Julie has decided to raise money for a charity by hosting a Spaghetti Dinner. In order to have the dinner
natulia [17]

Answer:

The algebraic expression is 6x = 100

3 0
3 years ago
What is the slope of the line in the xy plane that passes through the points (-5/2, 1) and (-1/2, 4)?
zaharov [31]
I hope this helps you

5 0
3 years ago
Pls help meeeee
Rashid [163]

Answer:

6 gallons of gas

Step-by-step explanation:

20.00 - 2.12 = 17.88

17.88 divided by 2.98 equals 6

8 0
2 years ago
Read 2 more answers
Find the radius of the circle if the center is at (1, 2) and the point (-3, 4) lies on the circle.
Anton [14]

Answer:

2√5

Step-by-step explanation:

The radius is the distance from the center to a point anywhere along the edge of the circle. To find the distance between these two points, use the distance formula.

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(1--3)^2 + (2-4)^2}\\ d = \sqrt{4^2 + -2^2}\\ d = \sqrt{16 + 4}\\ d = \sqrt{20} \\d = 2\sqrt{5}

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the angle of a supplement added to complement equal 210 degrees
    14·1 answer
  • If the variance of a variable is 16​, what is the standard​ deviation?
    9·1 answer
  • A wheelchair ramp has a slope over 1/12. Which of the following is the angle of elevation of the ramp to the nearest tenth of a
    9·1 answer
  • Keenan wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 808080 square centimete
    13·2 answers
  • Which size can of green beans shown in the table has the lowest unit price? ​
    5·2 answers
  • Which is the polynomial function of lowest degree with leading coefficient of 4 and roots 7 and 3?
    8·1 answer
  • Geometry need answer to this due soon ​
    11·1 answer
  • Help I suck at math..
    14·1 answer
  • How do you Multiply Complex Numbers? I used a calculator that shows work and it mentioned something called the foil method which
    15·1 answer
  • Find the distance between the parallel lines
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!