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3 years ago

X • 1 + x/1 = A. 1 B. x C. 1 + x D. 2x

Mathematics

1 answer:

Mkey [24]3 years ago

5 0

Answer:

D. D is the correct answer

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Find the solution set of this inequality|10x+20| ≤10

Pavlova-9 [17]

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

$|10x+20|\leq 10$

Firstly, we will find critical values

so, let's assume it is equal

$|10x+20|= 10$

now, we can break absolute sign

For $|10x+20|= -(10x+20)$ :

$-(10x+20)= 10$

we can solve for x

$-10x-20= 10$

Add both sides by 20

$-10x-20+20= 10+20$

$-10x= 30$

Divide both sides by -10

and we get

$x=-3$

For $|10x+20|= (10x+20)$ :

$(10x+20)= 10$

we can solve for x

$10x+20= 10$

Subtract both sides by 20

$10x+20-20= 10-20$

$10x= -10$

Divide both sides by 10

and we get

$x=-1$

so, critical values are

$x=-3$

$x=-1$

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For $(-\infty,-3)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

$|10\times -5+20|\leq 10$

$|-50+20|\leq 10$

$30\leq 10$

so, this is FALSE

For $[-3,-1]$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

$|10\times -2+20|\leq 10$

$|-20+20|\leq 10$

$0\leq 10$

so, this is TRUE

For $(-1,\infty)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

$|10\times 0+20|\leq 10$

$|0+20|\leq 10$

$20\leq 10$

so, this is FALSE

so, solution is

[-3,-1]

7 0

3 years ago

(16+5i) + (6-7i)<br>How do I solve this?

Fantom [35]

Answer:

$\large\boxed{(16+5i)+(6-7i)=22-2i}$

Step-by-step explanation:

$(16+5i)+(6-7i)=16+5i+6+7i\qquad\text{combine like terms}\\\\=(16+6)+(5i-7i)=22-2i$

5 0

3 years ago

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Sam made $210.00 last week. If he worked 35 hours, how much is he paid for one hour of work? Answer: dollars per hour.

timama [110]

Answer:

$6 Dollars Per Hour

Step-by-step explanation:

210/35=6

8 0

3 years ago

I pay 25,000 for a car it depreciates at a rate of 10% what is the value of the car in 7 year

Murrr4er [49]

Answer:

2500

Step-by-step explanation:

7 0

3 years ago

What is the result of converting 81 inches to feet remember there are 12 inches in a foot?

AlekseyPX

81 inches converted to feet is 6.75 feet

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3 years ago

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