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Masja [62]
2 years ago
15

The function f(x)= x^2 -4 is translated 3 units to the right to create function g(x). What is g(9)?

Mathematics
1 answer:
algol [13]2 years ago
7 0

Answer:

g(9) = 32

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then shift to the left of a units

• If a < 0 then shift to the right of a units

Here f(x) is translated 3 units right, thus

g(x) = (x - 3)² - 4, hence

g(9) = (9 - 3)² - 4 = 6² - 4 = 36 - 4 = 32

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irga5000 [103]

Answer: Ricky: 1204, Pedro: 1481

Step-by-step explanation:

If Pedro hit 277 more base hits that Ricky, and together they hit 2685, then

2685=2x+277

2x=2408

x=1204

so Ricky hit 1204 base hits and Pedro hit 1481.

check: 1204+1481=2685

8 0
3 years ago
Solve for v. <br> v + 3/8 = -1/4
IceJOKER [234]
<span>v + 3/8 = -1/4
</span>v =  -1/4 -  3/8 
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6 0
3 years ago
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PLEASE NEED HELP ASAP WILL MARK BRAINLIEST Question 2 of 10
VikaD [51]

Answer:

36

Step-by-step explanation:

8 0
2 years ago
Please look at image and tell me what the right answer is!!!<br><br> WILL REWARD BRAINIEST!!
Goryan [66]

Answer:

See below.

Step-by-step explanation:

Recall that the biggest angle will always be opposite from the biggest side.

IT is opposite from Angle S, which we can figure out to be 180-108-25=47.

SI is opposite from Angle T, which is 41.

ST is opposite from Angle I (the whole thing). Just from looking at it, we know that it is the biggest angle. If we want to figure it out, Angle I is 180-41-72+25=92.

The smallest side is SI, then IT, then ST.

The correct order is: SI, IT, and ST.

6 0
2 years ago
The lifetime of a certain brand of battery is known to have a standard deviation of 9 hours. Suppose that a random sample of 150
Kobotan [32]

Answer:

The 90% confidence interval for the true mean lifetime of all batteries of this brand is between 39.3 hours and 41.7 hours. The lower limit is 39.3 hours while the upper limit is 41.7 hours.

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.

That is z with a pvalue of 1 - 0.05 = 0.95, so 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.

M = 1.645\frac{9}{\sqrt{150}} = 1.2

The lower end of the interval is the sample mean subtracted by M. So it is 40.5 - 1.2 = 39.3 hours

The upper end of the interval is the sample mean added to M. So it is 40.5 + 1.2 = 41.7 hours

The 90% confidence interval for the true mean lifetime of all batteries of this brand is between 39.3 hours and 41.7 hours. The lower limit is 39.3 hours while the upper limit is 41.7 hours.

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2 years ago
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