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const2013 [10]
3 years ago
8

The graph of the linear parent function, f(x), is shown. Which function, g(x), would representa vertical stretch of 2 and a shif

t to the left of 3?
A. g(x) = 2 (2+3)
B. g(2) = 2 (2-3)
C.g(2) = 21 +3
D.g(z) = 21 - 3

P.S. Please do not post answer in a file.​
Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

Answer:

C.g(2) = 21+3

Step-by-step explanation:

Explain e everything

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What is the slope of the linear equation y = -7x + 7?
Inessa [10]

Answer:

-7

Step-by-step explanation:

y = mx + b is slope-intercept form and m is the slope. In this case m = -7 so the slope is -7.

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3 years ago
Sam mows a ¼ of a lawn in ½ of an hour. At this rate, how long will it take him to finish one lawn?
Scorpion4ik [409]

Answer:

Two hours

Step-by-step explanation:

1/4 = 1/2

2/4 = 1

3/4 = 1 1/2

4/4 = 2

4 0
3 years ago
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A circular mirror has a diameter of 12 inches.what is the area, in square inches, of the mirror.
navik [9.2K]

Answer:  The area of the mirror is 113.14 sq. inches [approx.].

Step-by-step explanation:  Given that a circular can till 375 ft² of land in 15 min.

We are to find the area of the mirror in square inches.

The AREA of a circle with radius 'r' units is given by

A=\pi r^2.

The diameter of the circular mirror is 12 inches, so the radius of the mirror will be

r=\dfrac{12}{2}=6~\textup{inches}.

Therefore, the area of the circular mirror is

A=\pi r^2=\frac{22}{7}\times 6^2=\dfrac{22\times 36}{7}=113.14~\textup{sq inches}~\textup{[approx.]}

Thus, the area of the mirror is 113.14 sq. inches [approx.].

8 0
3 years ago
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A country's education department reported that in 2015, 70.8% of students enrolled in college or a trade school within 12 months
Gennadij [26K]

Answer:

The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

In 2017, a random sample of 154 individuals who graduated from high school 12 months prior was selected. From this sample, 94 students were found to be enrolled in college or a trade school.

This means that n = 154, \pi = \frac{94}{154} = 0.6104

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 - 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.546

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 + 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.675

The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.

6 0
3 years ago
Evaluate (–1)8 + (–1)7 – 16 – 14 – (–1)2. Pay attention to the placement of the parentheses and negative signs. Question 1 optio
Inessa05 [86]
Since we are evaluating, we use PEMDAS so we know the order the operations. Follow PEMDAS:

Original Expression: (-1)8+(-1)7-16-14-(-1)2.

Evaluating: -8-7-16-14+2

-8-7=-15-16=-31-14=-45+2=-43.

The answer is -43 according to PEMDAS.
8 0
3 years ago
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