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3 years ago

Determine the solution set of (x - 4)2 = 12.

1 answer:

3 0

(x-4)2=12
First, you want to divide both sides by 2 to eliminate the 2 outside of the parenthesis. That leaves you with:
(x-4)=6
Then add four to both sides to eliminate the four inside the parenthesis:
x=10

To check work, substitute ten in for x in the original equation:
(10-4)2=12
(6)2=12
12=12, so this is correct :)

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Simplify. Assume that no denominator is equal to zero.

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8 0

3 years ago

Read 2 more answers

Solve 4(x + 3) = 6 Make x the subject

Irina-Kira [14]

Answer:

x = -3/2

Step-by-step explanation:

4(x + 3) = 6

4x + 12 = 6

4x = 6 - 12

4x = -6

x = -6/4

x = -3/2

5 0

3 years ago

Read 2 more answers

PLEASE HELP

LekaFEV [45]

Answer: one solution

Step-by-step explanation:

CONCEPT:

- One solution is when the final variable would be able to find a solution.

- Infinite solution is when the equations result in 0=0, meaning any number will fit

- No solution is when the equation results in both sides on equal.

SOLVE:

Given

3/4x-7=3(1/6x+1)

Expand Parenthesis

3/4x-7=1/2+3

Multiply both sides by the LCM of fractions (Least Common Multiple)

4(3/4x-7)=4(1/2x+3)

3x-28=2x+12

Subtract both sides by 2x

3x-28-2x=2x+12-2x

x-28=12

Add both sides by 28

x-28+28=12+28

x=40

Since we are able to get exactly one solution, there is only one solution.

Hope this helps!! :)

Please let me know if you have any quesionts

5 0

3 years ago

5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). Th

xz_007 [3.2K]

Answer:

The probability that X is between 1.48 and 15.56 is $P(1.48 \leq X \leq 15.56) = 0.919$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.

This means that $\mu = 8, \sigma = 4$