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netineya [11]
3 years ago
9

I am working on Absolute value and i need help here are the questions

Mathematics
2 answers:
vladimir2022 [97]3 years ago
6 0
Remember
if you have |a|=b
solve for a=b and a=-b

<span>1. | 2x |=4
assume 2x=4 and 2x=-4
divide by 2
x=2 and -2

2. | x-3 |=7
assume x-3=7 and - 7
add 3 to both sides of each equation
x=10 and -4

3. | 2x+5 |=21
assume 2x+5=21 and 2x+5=-21
minus 5 both sides
2x=16 and 2x=-26
divide by 2
x=8 and x=-13

4. 3 |x+4|= 24
divide both sides by 3
|x+4|=8
assume that x+4=8 and x+4=-8
minus 4 both sides
x=4 and x=-12

5. | x+2 | = 2x+4
assume
x+2=2x+4 and x+2=-(2x+4)=-2x-4
minus 2 both sides
x=2x+4 and x=-2x-6
first one, minus 2x both sides and multiply by -1
2nd one, add 2x to both sides and divide by 3
x=-4 and -2

6.| x+7 |=0
x+7=0
minus 7
x=-7

7. 2 | x+1 | - 3 =17 </span>
add 3 to both sides
2|x+1|=20
divide both sides by 2
|x+1|=10
assume
x+1=10 and x+1=-10
minus 1 both sides
x=9 and -11





<span>1. x=-2 and x=2
2. x=-4 and x=10
3. x=-13 and x=8
4. x=-12 and x=4
5. x=-4 and -2
6. x=-7
7. </span>x=-11 and x=9
spayn [35]3 years ago
4 0
1) 2x = +/- 4 so x = +/- 2

2) x-3 = 7  OR x - 3 = -7
so x = 10 or x = -4

3)2x + 5 = 21 OR 2x + 5 = -21
so x = 8 or x = -13

4) x + 4 = 6 OR x + 4 = -6
so x = 2 or x = -10

5) x + 2 = -(2x+4) OR x + 2 = 2x + 4
x = -2 or x = -6

6) x + 7 =  0
x = -7

7) you forgot the equal sign somewhere in this problem
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Bezzdna [24]
X= 4/5

Because...
You turn all the missed numbers in to improper fractions, then after you add all the ones with x’s after that you should get 7 then divide 7 by 28/5. Which equals 4/5
4 0
3 years ago
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You surveyed 112 students and found out that 14 went to the movies last week-
Cerrena [4.2K]

Answer:

c) 325

Step-by-step explanation:

The fraction of students that went to the movies is 14/112. To find the number of students who went to the movies from a larger group, you have to find a fraction equal to 14/112, whose denominator is 2600 (the number of students from the larger group).

14/112 = x/2600

You can do cross multiplication here. Cross multiplication is multiplying the denominator of one fraction by the numerator of the fraction equivalent to it. That product will be equal to the numerator of the first fraction * denominator of the second fraction.

112*x = 14*2600

x = 325

Approximately 325 students out of 2600 students would've gone to the movie last weekend.

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3 years ago
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8 0
3 years ago
I need help with this
Ilia_Sergeevich [38]

Answer:

1. x= 12.20

2. x= 8.94

3. x= 31.80

Step-by-step explanation:

1.

H =x , P = 7 and B = 10

using pythagoras theorem

H = 12.20

2.

H =21 , P = x and B = 19

using pythagoras theorem

P = 8.94

3.

H =x , P = 15.09 and B = 28

using pythagoras theorem

P = 31.80

4 0
3 years ago
Relationship B has a lesser rate than Relationship A. The graph represents Relationship A.
Zinaida [17]
Given that Relationship B has a lesser rate than Relationship A and that the graph representing Relationship A is a f<span><span>irst-quadrant graph showing a ray from the origin through the points (2, 3) and (4, 6) where the horizontal axis label is Time in weeks and the vertical axis label is Plant growth in inches.</span>

The rate of relationship A is given by the slope of the graph as follows:

slope= \frac{6-3}{4-2} = \frac{3}{2} =1.5

To obtain which table could represent Relationship B, we check the slopes of the tables and see which has a lesser slope.

For table A.
Time (weeks) 3 6 8 10
Plant growth (in.) 2.25 4.5 6 7.5

slope= \frac{4.5-2.25}{6-3} = \frac{2.25}{3} =0.75

For table B.
Time (weeks) 3 6 8 10
Plant growth (in.) 4.8 9.6 12.8 16

</span><span><span>slope= \frac{9.6-4.8}{6-3} = \frac{4.8}{3} =1.6

</span> For tabe C.
Time (weeks) 3 4 6 9
Plant growth (in.) 5.4 7.2 10.8 16.2

</span><span>slope= \frac{7.2-5.4}{4-3} = \frac{1.8}{1} =1.8

For table D.
Time (weeks) 3 4 6 9
Plant growth (in.) 6.3 8.4 12.6 18.9</span>

<span>slope= \frac{8.4-6.3}{4-3} = \frac{2.1}{1} =2.1</span>

Therefore, the table that could represent Relationship B is table A.
7 0
4 years ago
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