Mathematics, 22.09.2019 02:10 angelica7773

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solve for x: −3|2x + 6| = −12
solve for x: |2x + 6| − 4 = 20
solve for x: |x| − 8 = −5
compare and contrast: two equations are listed below. solve each equation and compare the number of solutions.
equation 1 equation 2
|5x + 6| = 41 |2x + 13| = 28
solve for x: −4|x + 5| = −16
the minimum and maximum temperature on a cold day in lollypop town can be modeled by the equation below:
2|x − 6| + 14 = 38
what are the minimum and maximum temperatures for this day?

Answers: 3

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Answers

Answer from: Dorth7935

Part 1) The solutions are x=-1, x=-5

Part 2) The solutions are x=-15, x=9

Part 3) The solutions are x=-3, x=3

Part 4) The solutions of equation 1 are x=-9.4,x=7 and the solutions of the equation 2 are x=-20.5, x=-7.5

Part 5) The solutions are x=-9, x=-1

Part 6) The minimum temperature is x=-6° and the maximum temperature is x=18°

Step-by-step explanation:

Part 1) we have

Solve for x

$-3\left|2x+6\right|=-12$

Simplify

Divide by -3 both sides

$\left|2x+6\right|=4$

Find out the first solution (case positive)

+(2x+6)=4

2x=4-6

2x=-2

x=-1

Find out the second solution (case negative)

-(2x+6)=4

Multiply by -1 both sides

(2x+6)=-4

2x=-4-6

x=-5

Part 2) we have

Solve for x

$\left|2x+6\right|-4=20$

Simplify

Adds 4 both sides

$\left|2x+6\right|=24$

Find out the first solution (case positive)

+(2x+6)=24

2x=24-6

2x=18

x=9

Find out the second solution (case negative)

-(2x+6)=24

Multiply by -1 both sides

(2x+6)=-24

2x=-24-6

2x=-30

x=-15

Part 3) we have

Solve for x

$\left|x\right|-8=-5$

Simplify

Adds 8 both sides

$\left|x\right|=3$

Find out the first solution (case positive)

+(x)=3

x=3

Find out the second solution (case negative)

-(x)=3

Multiply by -1 both sides

x=-3

Part 4) Solve each equation and compare the number of solutions

Equation 1

$\left|5x+6\right|=41$

Find out the first solution (case positive)

+(5x+6)=41

5x=41-6

5x=35

x=7

Find out the second solution (case negative)

-(5x+6)=41

Multiply by -1 both sides

(5x+6)=-41

(5x+6)=-41-6

5x=-47

x=-47/5=-9.4

Equation 2

$\left|2x+13\right|=28$

Find out the first solution (case positive)

+(2x+13)=28

2x=28-13

2x=15

x=7.5

Find out the second solution (case negative)

-(2x+13)=28

Multiply by -1 both sides

(2x+13)=-28

2x=-28-13

2x=-41

x=-20.5

Each equation has two solutions

Part 5) Solve for x

$-4\left|x+5\right|=-16$

Simplify

Divide by -4 both sides

$\left|x+5\right|=4$

Find out the first solution (case positive)

+(x+5)=4

x=4-5

x=-1

Find out the second solution (case negative)

-(x+5)=4

Multiply by -1 both sides

(x+5)=-4

x=-4-5

x=-9

Part 6) What are the minimum and maximum temperatures for this day?

we have

$2\left|x-6\right|+14=38$

Simplify

Subtract 14 both sides

$2\left|x-6\right|=24$

Divide by 2 both sides

$\left|x-6\right|=12$

Find out the first solution (case positive)

+(x-6)=12

x=12+6

x=18

Find out the second solution (case negative)

-(x-6)=12

Multiply by -1 both sides

(x-6)=-12

x=-12+6

x=-6

therefore

The minimum temperature is x=-6° and the maximum temperature is x=18°

Answer from: Quest

grab rope, tie a loop-de-loop, put it around ur neck, now jump while its tied to a high place. now your shoes are cool.

step-by-step explanation:

Answer from: Quest

step-by-step explanation: 2

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