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3 years ago

Suppose the x intercept of the graph of y=f(x) are 2 and 3. what are the x-intercepts of y=8f(x)

Mathematics

1 answer:

Yuliya22 [10]3 years ago

6 0

We are given: Function y=f(x).

First x-intercept of the y=f(x) is 2.

x-intercept is a point on x-axis, where y=0.

Replacing y by 0 and x by 2 in above function, we get

0=f(2)

Second x-intercept of the y=f(x) is 3.

Replacing y by 0 and x by 2 in above function, we get

0=f(3)

We are given another function y=8f(x).

Here only function f(x) is being multiplied with 8.

That is y values of function should be multiply by 8.

Because we have y value equals 0. On multiplying 8 by 0 gives 0 again and it would not effect the values of x's.

Therefore,

x-intercepts of y=8f(x) would remain same, that is 2 and 3.

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Y/2 - (-1.12) = 3.12

ahrayia [7]

$\fbox{y=4}$

$\frac{y}{2} -(-1.12)=3.12$

Simplify:

$\frac{1}{2} y+1.12=3.12$

Subtract 1.12 on both sides:

$\frac{1}{2} y+1.12-1.12=3.12-1.12$

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1 year ago

IQ scores are known to be normally distributed. The mean IQ score is 100 and the standard deviation is 15. What percent of the p

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Problems of normally distributed samples are solved using the z-score formula.

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:

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