Ask question

Ask question

All categories

3 years ago

7

Solve the following compound inequality 12 < 2x-4/3 < 16 step by step

1 answer:

motikmotik3 years ago

4 0

Answer:

x∈(20/3;26/3)

Step-by-step explanation:

12 < 2x-4/3 < 16

first we add 4/3 to each side

12+4/3<2x<16+4/3

we bring to the same denominator

12*3/3+4/3<2x<16*3/3+4/3

(36+4)/3<2x<(48+4/3)

40/3<2x<52/3

now we divide by 2

20/3<x<26/3

x∈(20/3;26/3)

You might be interested in

What is the solution of the system? Use substitution.

nekit [7.7K]

Substituting y=6x+2 into equation 3y - 18x =12 looks like:

3(6x + 2) - 18x = 12
18x + 6 - 18x = 12 distributive property left side
6 = 12 simplifying the left side

We now see a contradiction: 6 does not equal 12 What this tells us is that there is no solutions to this equation. So choice 'C' ...

8 0

3 years ago

Read 2 more answers

I need the answers for 5 and 6 please and make sure they are accurate , thank you :)

velikii [3]

Answer:

5. 6+6i

6. $-2+(6\sqrt{3})i$

Step-by-step explanation:

well, u just need to calculate

7 0

3 years ago

Using the graph of f(x) = log10x below, approximate the value of y in the equation 10y = 3.

Svetllana [295]

$f(x)=\log_{10}x \\ 10^y=3 \\ y=\log_{10}3=0.4771$

3 0

3 years ago

Read 2 more answers

Two congruent squares and a parallelogram were used to form the figure shown. 3 meters, 6 meters, 2.8 meters, 3 meters What is t

elixir [45]

The area of a figure is the amount of space the figure occupies

The surface area of the figure is 34.8 square meters

<h3>How to determine the area of the shape</h3>

From the question, we have:

The dimensions of the congruent squares are 3 m by 3 m
The dimensions of the parallelogram are height of 2.8 m, and base of 6 m

So, the area of the figure is:

Area = 2 * Area of square + Area of parallelogram

This gives

$Area = 2 * (3m * 3m) + 2.8m * 6m$

Evaluate the products

$Area = 18m^2 + 16.8m^2$

Evaluate the sum

$Area = 34.8m^2$

Hence, the surface area of the figure is 34.8 square meters

Read more about surface areas at:

brainly.com/question/24571594

3 0

2 years ago

Please need some help with arithmetic functions!!!

frutty [35]

A, perhaps,plz check the definition of functions

8 0

3 years ago