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Talja [164]
2 years ago
10

If the graph of f(x) = 9x is shifted 2 units to the right, then what would be the equation of the new graph?

Mathematics
1 answer:
Rudik [331]2 years ago
6 0

Answer:

f(x) = 9x - 18

Step-by-step explanation:

Moving the graph to the left or right involves directly manipulating the "x" value. When you want to shift the graph to the right, you need to subtract the desired value directly from "x". This would make the equation look like this:

f(x) = 9(x - 2)

However, this can be simplified by multiplying 9 by each term in the parentheses.

f(x) = 9x - 18

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A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From
lutik1710 [3]

Answer:

a) z = 1.645

b) The should sample at least 293 small claims.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645, which means that the answer of question a is z = 1.645.

Now, find  the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

M = 12, \sigma = 124.88. So

M = z*\frac{\sigma}{\sqrt{n}}

12 = 1.645*\frac{124.88}{\sqrt{n}}

12\sqrt{n} = 205.43

\sqrt{n} = \frac{205.43}{12}

\sqrt{n} = 17.12

\sqrt{n}^{2} = (17.12)^{2}

n = 293

The should sample at least 293 small claims.

8 0
3 years ago
2. A student usually saves $20 per month. He would like to reach a goal of saving $350 in 12 months. The student writes the equa
Zigmanuir [339]

Answer:

x = 9.17 (nearest hundredth)

The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.

Step-by-step explanation:

350 = 12(x + 20)

Multiply out brackets:  350 = 12x + 240

Subtract 240 from both sides:  110 = 12x

Divide both sides by 12:  9 1/6 = x

x = 9.17 (nearest hundredth)

The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.

3 0
2 years ago
What is the measure of angle R?<br> A. 30°<br> B. 50°<br> C. 100°<br> D. 180°
Ivenika [448]

Answer:

100

Step-by-step explanation:

ggjgbghhhhbbujrghh

6 0
3 years ago
A piggy bank contains 80 nickels and dimes the value of the coins is 5.15
dimaraw [331]
Answer: the amount of dimes is $1.15 this is also equivalent to 11 dimes and an extra nickel.

Explanation:

80 nickels =$4.00
$5.15-$4.00= $1.15
11 dimes= $1.10
1 nickel= $0.05
$1.10+$0.05= $1.15


hope this helps! :)
5 0
3 years ago
Can someone please explain The measure of angle A to the nearest tenth of a degree is:
Ratling [72]

Answer:

A =19.5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin A= opp/ hyp

sin A = 3/9

Take the inverse sin of each side

sin ^-1 sin A = sin ^-1 (3/9)

A =19.47122063

To the nearest  tenth of a degree

A =19.5

3 0
3 years ago
Read 2 more answers
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