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hammer [34]
1 year ago
9

Heyy i just need some help with questions 21and 25 if anyone could help me and show the work that would be amazing thank you!!

Mathematics
1 answer:
frez [133]1 year ago
4 0

Step-by-step explanation:

21) f(x)=1/x-6. g(x)=7/x+6

f(g(x))=f(7/x+6)=1÷7/x+6 - 6=x+6/7 - 6

g(f(x))=g(1/x-6)=7÷1/x-6 - 6 =7(x-6) - 6

simplify forward

25)f(x)=|x| g(x)=5x+1

f(g(x))=f(5x+1)=|5x+1|=5x+1=g(x)

g(f(x))=g(|x|)=5|x|+1=5x+1=g(x)

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What is the equation of the line that is perpendicular to the
soldi70 [24.7K]

Answer:

Option (4). y = 3x - 5

Step-by-step explanation:

Given question is incomplete; here is the complete question.

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)?

y = –1/3x + 5

y = –1/3x + 3

y = 3x + 2

y = 3x − 5

Line given in the graph passes through the points (-3, 2) and (0, 1).

Slope of the given line = \frac{y_{2}-y_1}{x_2-x_1}

                                  m = \frac{2-1}{-3-0}

                                  m = -\frac{1}{3}

Let the equation of a line perpendicular to this line is,

y - y' = m'(x - x') [Given line passes through (x', y')]

By the property of perpendicular lines,

m × m' = -1

(-\frac{1}{3}) × m' = -1

m' = 3

Equation of the perpendicular line will be,

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 5

Option (4) will be the answer.

5 0
3 years ago
If after a 7% tax and a 25% tip, the cost of a $115 dinner will be split among four people, how much does each person owe? Round
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3 years ago
Scores on the GRE.
Bogdan [553]

Answer:

Kindly check explanation

Step-by-step explanation:

Verbal:

Score, x = 560

Mean, m = 460

Standard deviation, s = 132

Quantitative :

Score, x = 740

Mean, m = 452

Standard deviation, s = 140

a)

Verbal :

X ~ N(460, 132)

Quantitative :

X ~ N(452, 140)

(b)

What is her Z score on the Verbal Reasoning section? On the Quantitative Reasoning section? Draw a standard normal distribution curve and mark these two Z scores.

Zscore = (x - m) / s

Verbal :

Zscore = (560 - 460) / 132 = 0.758

Quantitative :

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(c.)

He has a higher standardized score in the quantitative than the verbal score.

(d.)

The Zscore shows that he performed better in the quantitative reasoning than verbal.

(e) Find her percentile scores for the two exams.

(f) What percent of the test takers did better than her on the Verbal Reasoning section? On the Quantitative Reasoning section?

Verbal :

Score greater than 560

P(x > 560) :

Z = (560 - 460) / 132 = 0.758

P(Z > 0.758) = 0.22423 = 22.4%

Quantitative :

Score greater than 740

P(x > 740) :

Z = (740 - 452) / 140 = 2.057

P(Z > 0.758) = 0.0198 = 1.98%

8 0
3 years ago
Draw a picture to show how to find12+37
Karolina [17]
So i drew 12 circles and 37 circles
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7 0
4 years ago
What is the gcf of 42 and 84
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Greatest Common Factor of 42 and 84. Greatest common factor (GCF) of 42 and 84 is 42.


7 0
4 years ago
Read 2 more answers
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