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lions [1.4K]
3 years ago
8

If the graph of f(x) = 4x is shifted down, then what would be the equation of the new graph?

Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0

Answer:

f(x) = 4x - 4

Step-by-step explanation

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Find the value of r so the line passes through each pair of points has the give slopes
Art [367]

Answer:

r=64

Step-by-step explanation:

First, let's start with what we have. If we use y=mx+b here's what we can put in:

y=-4x+b

Then we can use one of the given points to find the y-intercept. Since the only complete one is (12,10), we'll use that.

10=-4(12)+b\\10=-48+b\\58=b

So now we have y=-4x+58.

Now we can use our other point with the missing y-value and solve for y.

r=-4(-2)+58\\r=64

So the missing value is 64.

Hope this helps!

7 0
2 years ago
A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70
TEA [102]

Answer:

She needs to sample 189 trees.

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 - 0.95}{2} = 0.025

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 - 0.025 = 0.975, so Z = 1.96.

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.

The standard deviation of the population is 70 peaches per tree.

This means that \sigma = 70

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

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

10 = 1.96\frac{70}{\sqrt{n}}

10\sqrt{n} = 1.96*70

Dividing both sides by 10:

\sqrt{n} = 1.96*7

(\sqrt{n})^2 = (1.96*7)^2

n = 188.2

Rounding up:

She needs to sample 189 trees.

3 0
3 years ago
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