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Alchen [17]
3 years ago
8

Solve the following inequality. IMAGE ATTACHED

Mathematics
1 answer:
kotykmax [81]3 years ago
6 0
The answer is D.

First, separate the compound equality into 2
1st -3 (x-4) greater than/ equal to 21
2nd -3( x-4) < 30

Second, solve the inequality for x
1st x less than/ equal to -3
2nd x > -6

Third, find the intersection
D. -6 < x (less than/equal) to -3

I hope this helped, and if you don’t mind, giving me brainiest!

You might be interested in
how many different four letter permutations can be formed using four letters out of the first 12 in the alphabet?
Verizon [17]

Answer:

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

Permutations of four letters from a set of 12 letters. So

P_{(12,4)} = \frac{12!}{(12-4)!} = 11800

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

3 0
3 years ago
NO LINKS PLEASE!!!!! i GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND CORRECTLY!!!
iris [78.8K]

Answer:(-1,2)

Step-by-step explanation:

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=2x%20%2B%20%5Cfrac%7B5%7D%7B8%7D%20%3D%203x%20-%20%5Cfrac%7B5%7D%7B8%7D" id="TexFormula1" titl
Whitepunk [10]

Answer:

x=\frac{5}{4}

Step-by-step explanation:

2x+\frac{5}{8}=3x-\frac{5}{8}

Subtract 5/8 from both sides:-

2x+\frac{5}{8}-\frac{5}{8}=3x-\frac{5}{8}-\frac{5}{8}

2x+\frac{5}{8}-\frac{5}{8}

Add like terms:-

  • \frac{5}{8}-\frac{5}{8}=0
  • =2x

3x-\frac{5}{8}-\frac{5}{8}

Rule:- \frac{a}{c} \pm \frac{b}{c}=\frac{a \pm b}{c}

  • \frac{-5-5}{8}

Subtract, -5-5=-10

  • =\frac{-10}{8}

Cancel common factor: 2

  • =-\frac{5}{4}
  • =3x-\frac{5}{4}

---------------

2x=3x-\frac{5}{4}

Now, subtract 3x from both sides:-

2x-3x=3x-\frac{5}{4}-3x

-x=-\frac{5}{4}

Divide both sides by -1:-

\frac{-x}{-1}=\frac{-\frac{5}{4}}{-1}

x=\frac{5}{4}

<u>OAmalOHopeO</u>

4 0
2 years ago
Read 2 more answers
Yes I need help plz<br><br><br><br><br><br><br><br> !!!!!!!!!!!
Delicious77 [7]

Answer:

Slope = -2

Step-by-step explanation:

slope = (y₂ - y₁)/(x₂ - x₁)

s = (6 - 0)/(-3 - 0)

s = 6 / -3

s = -2


I hope this helped and please mark me as brainliest!

4 0
2 years ago
Read 2 more answers
Need help please! Will give it to the brainliest. Which expression models the bacterium's volume? Picture is below.
Tomtit [17]

The expression C. \pi (1)^{2} (0.5) cubic \mu \mathrm{m} represents the bacterium's volume.

Step-by-step explanation:

Step 1:

The E. Coli bacterium is in the shape of a cylinder.

The volume of a cylinder is given by multiplying π with the square of the radius (r²) and the height of the cylinder.

The volume of a cylinder, V=\pi r^{2} h.

In the given diagram, E. Coli has a radius of 1 \mu \mathrm{m} and a height of 0.5 \mu \mathrm{m}.

Step 2:

By substituting the values in the equation, we get

The volume of the E. Coli bacterium = \pi (1)^{2} (0.5) cubic \mu \mathrm{m}.

This is option C.

7 0
3 years ago
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