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Pavel [41]
2 years ago
15

Let f(x)=6/5x−1/2. Describe the transformations from the graph of f to the graphs of g(x)=−f(x) and h(x)=f(−x).

Mathematics
1 answer:
aivan3 [116]2 years ago
8 0

Answer:

g(x)=-6/5x+1/2

h(x)=-6/5x-1/2

Step-by-step explanation:

1).   g(x)=−f(x) ?

f(x)=6/5x−1/2

g(x)=−(6/5x−1/2)

<u>g(x)=-6/5x+1/2</u>

2). h(x)=f(−x) ?

f(-x)=6/5(-x)−1/2

f(-x)=-6/5x-1/2

h(x)=-6/5x-1/2

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What is the simplest form of 3/5 + 1/3
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Answer:

8/15 +5/15 = 12/15 = 4/5

Step-by-step explanation:

7 0
3 years ago
What is (1, -2) and (2, 2) as a linear equation
frutty [35]

Answer:

y=4

Step-by-step explanation:

y=2+2/2-1

y=4

8 0
2 years ago
Julio believes that the quotient of 6 divided by 1/2 = 3. Explain Julios error and tell how to find the correct answer.
Gnom [1K]

Answer:

it can be written as 6/1 divided by 1/2

then you'll use the keep, switch, flip method. keep 6/1, switch division to multiplication, and flip 1/2 to become 2/1 or 2

now your equation is 6 x 2 = 12

Julio did 6 divided by 2. which could've been fixed if he changed the division sign to multiplication and multiplied

8 0
2 years ago
A group of high school athletes has an average GPA of 2.7 with a standard deviation of 0.9. a)Find the percentage of athletes wh
mart [117]

Answer:

a) The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is 3.645.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 2.7, \sigma = 0.9

a)Find the percentage of athletes whose GPA more than 1.665.

This is 1 subtracted by the pvalue of Z when X = 1.665. So

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

Z = \frac{1.665 - 2.7}{0.9}

Z = -1.15

Z = -1.15 has a pvalue of 0.1251

1 - 0.1251 = 0.8749

The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.

His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.

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

1.05 = \frac{X - 2.7}{0.9}

X - 2.7 = 1.05*0.9

X = 3.645

John's GPA is 3.645.

8 0
3 years ago
Please help with this anyone
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You distribute the 4 to both x and 5. 4 times x is 4x and 4 times 5 is 20. Divide both sides by 4. X=5
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