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DanielleElmas [232]
2 years ago
14

BRAINLIST FOR RIGHT ANSWER! Which of the following are domain restrictions for the expression 3-1)(x+3). There may be more than

one.
(x+2)(x-1
a. x = 3
b. x = 1
c. X = -2
d. x = -3

Mathematics
1 answer:
OLga [1]2 years ago
7 0
For rational expressions, all real numbers can be used as inputs, except for those that make the denominator equal to 0 (since division by 0 is undefined).

Thus, the domain restrictions are values that turn the denominator into 0. Since you have (x + 2) (x - 1) as the denominator, then it means that:

For (x + 2), the value of x CANNOT be -2, as it will result into 0.

For (x - 1), the value of x CANNOT be 1 because their difference will have 0 as a result.

Therefore, the correct answers are:

b.) x = 1
c.) x = -2

Please mark my answers as the Brainliest if you find my explanations helpful :)
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Step-by-step explanation:

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½(4k + 3r) ÷ 3^1<br><br> k = 9<br> r = 6<br><br> show work
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Answer:

The solution is given below:

Step-by-step explanation:

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As we know the value of k and r so the equation will be

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2 years ago
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The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
11111nata11111 [884]
(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes

(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)

Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes

(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%

With actual average time to walk to the bus stop being 10 minutes;

(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes

(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.

(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0

From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
8 0
3 years ago
50 PTS
liubo4ka [24]

Answer:

The correct option is B.

Step-by-step explanation:

The amount of money, in dollars, in a savings account after x years is given by  M(x) = 10000(1.03)^{x}

This above equation represents that $10000 becomes M(x) after x years at a rate of interest 3% compounded in each year.

Therefore, the value in the expression 1.03 represents that there is a 3 percent increase in the savings account each year.

So, the correct option is B. (Answer)

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