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3 years ago

What is the solution set for

Mathematics

1 answer:

Mumz [18]3 years ago

5 0

Answer: C. (-3, 9)

Step-by-step explanation:

Given

2|x-3|=12

Divide both sides by 2

2|x-3|/2=12/2

|x-3|=6

Take of absolute value sign (REMEMBER need to take into consideration of two conditions)

x-3=±6

1)x-3=6

x=9

2)x-3=-6

x=-3

**NOTE**: need to check each solution whether or not they are suitable

Hope this helps!! :)

Please let me know if you have any questions

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Rosemary is driving to Chicago, and she is 84 miles away. She wants to arrive in 1.5 hours. What rate of speed will she have to

vagabundo [1.1K]

Answer:

56 mph

Step-by-step explanation:

Process of elimination. 126 mph is much too high because it's more than the distance and they will arrive too early. 65 + 65 ÷ 2 = 97.5, that's more than 84 miles. The reason we divide by 2 is because of the .5. Now all we have is 56 mph. To check, 56 + 56 ÷ 2 = 84

4 0

2 years ago

Scrieti rezultatul sub forma de fractie ireductabila : a)1/4+5/4; b) 23/17+11/17;c) 16/93+15/93;11/14+23/14;3/16+ 15/16 ; 1 1/8+

Alborosie

Answer:

See explanations below

Step-by-step explanation:

a) 1/4+5/4

= (1+5)/4

= 6/4

= 3/2

b) 23/17+11/17

= (23+11)/17

= 34/17

= 2

c) 16/93+15/93

= (16+15)/93

= 31/93

= 1/3

d) 11/14+23/14

= (11+23)/14

= 34/14

= 17/7

e) 3/16+15/16

= (3+15)/16

= 18/16

= 9/8

f) 1 1/8 + 1 3/8

= 9/8 + 11/8

= (9+11)/8

= 20/8

= 5/2

g) 1 3/10+3 1/10;

= 13/10+31/10

= (13+31)/10

= 44/10

h) 2 3/5+3 2/5

= 13/5+17/5

= (13+17)/5

= 30/5

= 6

7 0

3 years ago

Choose the correct description of the graph of the compound inequality : x - 1 < 12 or 2x > 30.

sveta [45]

I think it’s d to be honest I also may be wrong.

7 0

3 years ago

(NO TROLLS 3 TIMES THE CHARM) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.

andreev551 [17]

Answer:

≈ 5.36

Step-by-step explanation:

If we have a triangle in which the angle measure of it being broken down are the same, that means that the legs in which the angle measures are the same will have the same length.

If we already know that DE ≈ 9.28, then we can subtract this from 20 and divide by two to get BD, which is equal to EC.

$20-9.28=10.72\\10.72\div2=5.36$

However, I'm not 100% sure about this answer.

Hope this helped (and I hope I'm right)

3 0

3 years ago

Read 2 more answers

-(3/4)+1 7/8 divided by 1/2 =n

VashaNatasha [74]

first off, let's convert the mixed fraction to improper fraction and then proceed, let's notice that by PEMDAS or order of operations, the multiplication is done first, and then any sums.

$\stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \div \cfrac{1}{2}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \cdot \cfrac{2}{1}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{4} \\\\\\ \cfrac{-3+15}{4}\implies \cfrac{12}{4}\implies 3$

5 0

2 years ago