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sesenic [268]
3 years ago
12

Which of the following is the correct graph of the solution to the inequality-18>-5x+2>-48

Mathematics
1 answer:
makvit [3.9K]3 years ago
7 0

Answer:

Step-by-step explanation:

we have

18 > -5x+2 > -48

This is a compound inequality

Remember that

A compound inequality i can divide in a system of two inequalities

so

18 > -5x+2 -----> inequality A

-5x+2 > -48 ---> inequality B

step 1

Solve the inequality A

18 > -5x+2

Multiply by -1 both sides

-18< 5x-2

-18+2< 5x

-16< 5x

Divide by 5 both sides

-3.2< x

Rewrite

x > -3.2

The solution of the inequality A is the interval ----> (-3.2,∞)

step 2

Solve the inequality B

-5x+2 > -48

Multiply by -1 both sides

5x-2 < 48

5x < 48+2

5x < 50

Divide by 5 both sides

x < 10

The solution of the inequality B is the interval ----> (-∞, 10)

step 3

Find the solution of the compound inequality

(-3.2,∞) ∩ (-∞, 10)=(-3.2,10)

All real numbers greater than -3.2 and less than 10

The graph in the attached figure

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Soloha48 [4]

Answer:

13

Step-by-step explanation:

The formula for cirmference is

C= π2 * r

we're using 3.14 as pi and r = radius.

the radius is always half of the diameter.

So in this case since the diamter is 4, the radius is 2. let's substitute these numbers.

C= 3.14 *2*2 and there your answer is 12.56 which rounded to the nearest tenth is 13.

Hope this helps :)

6 0
1 year ago
Find the Value of PT. PT=4x-6 and TQ=3x+4
barxatty [35]
We can find the value of PT from given information 
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if PT = TQ
4x - 6 = 3x + 4
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now put the value of x into PT = 4x - 6
PT = 4 (10) - 6
=40 - 6
PT = 34
The value of PT = 34
4 0
3 years ago
Write a numerical expression that represents the quotient of 85 minus 7 and 19
disa [49]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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Dmitrij [34]

Answer:

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Step-by-step explanation:

Lol I haven't done one of these in a while, so thanks for the practice!

It's important to note that a dilation does NOT change the angles of the shape whatsoever. By this, you know that II and III are automatically correct, which rules out A and B. After that, you can look at I, which is the only difference between C and D. Since the dilation factor is 2/3, the parallelogram you see is smaller than the original. Since in I, the original would be larger than the denominator, the correct answer would be at least greater than one (to be precise, it'd be 3/2). To make everything easier, you can find the value by assigning the original side a value of 1, which would make the prime value 2/3. 1/(2/3) is going to be 3/2.

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Answer:

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Step-by-step explanation:

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