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3 years ago

Solve the inequality |4x +4| < 12

Mathematics

2 answers:

mel-nik [20]3 years ago

5 0

Start by dividing all terms by 4, to reduce this expression: |x+1| < 3.

Case 1: x+1 is already positive. The abs. val. operator does not change

anything. Then x+1<3, or x<2.

Case 2: (x+1) is negative. The abs. val. operator, in effect, puts a - sign in

front of (x+1): -(x+1)<3. Distributing the - sign: -x - 1 < 3. Adding 1 to both sides: -x < 4. We want to solve for positive x, so we mult. both sides of

-x<4 by -1 AND change the direction of the inequality symbol:

x > -4

Thus, the solution set is (-4,2): All real numbers between -4 and 2.

lana [24]3 years ago

5 0

$|4x +4| < 12\\\\ 4|x+1|$

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The burning time of a very large candle is normally distributed with mean of 2500 hours and standard deviation of 20 hours. Find

dezoksy [38]

Answer: C.-1.5

Step-by-step explanation:

Given: The burning time of a very large candle is normally distributed with mean $(\mu)$ of 2500 hours and standard deviation $(\sigma)$ of 20 hours.

Let X be a random variable that represent the burning time of a very large candle.

Formula: $Z=\dfrac{X-\mu}{\sigma}$

For X = 2470

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2 years ago

Choose the correct simplification of a5b6/a4b4

NemiM [27]

The Answer is a b¹⁰

Simplify the following:
(a^5 b^6 b^4)/a^4

Combine powers. (a^5 b^6 b^4)/a^4 = a^(5 - 4) b^(6 + 4):
a^(5 - 4) b^(6 + 4)

5 - 4 = 1:
a b^(6 + 4)

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3 years ago

Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12?

grandymaker [24]

2(x - 1) > = -12
2x - 2 > = -12
2x > = -12 + 2
2x > = -10
x > = -10/2
x > = -5 or -5 < = x

wrong solution would be B. x less then or equal to -5....because x is greater then or equal to -5

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3 years ago