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Aleks [24]
2 years ago
13

Which of the following functions has the greatest y-intercept? f(x) x y −3 −27 −2 8 −1 −1 0 0 1 1 2 8 ,g(x) = 4 sin(4x) − 3

Mathematics
1 answer:
slavikrds [6]2 years ago
5 0
The two given functions are
x:     -3    -2   -1   0   1   2
f(x):  -27   8   -1   0   1    8

g(x) = 4 sin(4x) - 3

The y-intercept occurs when x=0.
Therefore,
 f(x) has a y-intercept of 0 (from given tabular data).

g(x) has a y-intercept of
  g(0) = 4*sin(0) - 3
         = 0 - 3
         = -3

Answer:
f(x) has the greatest y-intercept.
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The integer is -100. 

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Your cousin borrows $1125 to repair her car. The simple annual interest rate is 10%. She makes equal monthly payments of $25. Ho
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2 years ago
A newsletter publisher believes that 55% of their readers own a Rolls Royce. Is there sufficient evidence at the 0.05 level to r
melomori [17]

Set up hypotheses:

The null hypotheses is that the proportion of readers who own a Rolls Royce is equal to 0.55

Null hypotheses = H₀: p = 0.55

The alternate hypotheses is that the proportion of readers who own a Rolls Royce is not equal to 0.55

Alternate hypotheses = H₁: p ≠ 0.55

Determine the  type of test:

Since the alternate hypothesis states that the proportion of readers who own a Rolls Royce is different, therefore it is a two-tailed test.

Determine the level of significance and Critical Z-score:

Given level of significance = 0.05

Since it is a two-tailed test,

Z-score = 1.960 (two tailed)

Set up decision rule:

Since it is a two-tailed test, using a Z statistic at a significance level of 5%

We Reject H₀ if Z < -1.960 or Z > 1.960

We Reject H₀ if p ≤ α

Compute the test statistic:

The test statistic may be calculated using,

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We are not given enough information to find out the test statistic.

Conclusion:

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4 0
2 years ago
The speed of sound is approximately 340 m / s. How long will it take for the sound to travel from the batter to a spectator who
iris [78.8K]
The first answer is 3/34 sec and the second answer is 15/34 sec.

Set up a proportion for these problems.  For the first question,
340/1 = 30/x

Cross multiply:
340*x = 1*30
340x = 30

Divide both sides by 340:
340x/340=30/340
x = 30/340 = 3/34

For the second question,
340/1 = 150/x

Cross multiply:
340*x = 150*1
340x=150

Divide both sides by 340:
340x/340 = 150/340 
x = 150/340 = 15/34
4 0
2 years ago
What is 4x-4y/2=x+2 in slope intercept form?
Alla [95]

Answer:

The equation would be y = 3/2x - 1

Step-by-step explanation:

To find the answer in slope-intercept form, simply solve for y.

4x-4y/2=x+2 ----> Subtract 4x from both sides

-4y/2=-3x+2 ----> Multiply both sides by 2

-4y = -6x + 4 -----> Divide by -4

y = 3/2x - 1

3 0
2 years ago
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