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barxatty [35]
3 years ago
11

Write the function notation for the transformation that would change f(x) to have a vertical

Mathematics
1 answer:
koban [17]3 years ago
6 0

Function is 4 - \frac{f(x)}{8}.

<u>Step-by-step explanation:</u>

We have a function notation for the transformation that would change f(x) to have a vertical  compression by a factor of \frac{1}{8}, reflection over the x axis, up 6 and right 2.

<u>Step 1:</u>

Vertical compression by a factor \frac{1}{8} , this means decreasing value of function by a factor of  \frac{1}{8}. Function becomes \frac{f(x)}{8}.

<u>Step 2:</u>

Reflection over x-axis means rotating f(x) by 180° over origin . Function now is -\frac{f(x)}{8}.

<u>Step 3:</u>

Up 6 , means value of function is increased by 6 , Function now is \frac{-f(x)}{8}  + 6.

<u>Step 4:</u>

Right 2, means shifting function to 2 units on right side i,e, on x-axis.

∴Function finally becomes, \frac{-f(x)}{8} +6 - 2 which is 4 - \frac{f(x)}{8}.

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A stem-and-leaf plot for the number of homeruns hit by 30 high school teams is shown. find the probability that a team chosen at
pantera1 [17]
To answer this you need to read the stem and leaf lot and determine how many values were over 28., Or how many were less than or at 28 and subtract it from 30.

There are 10 teams at 28 or less, so 20 teams are above 28.

The number to the left of the | tells us the tens place of the set of number that come after it.

For example 2|4 7 8 stands for 24, 27, and 28.

If 20 out of 30 were above 28 homeruns, then your probability is 20/30 or 2/3 or 0.667.
4 0
3 years ago
What is the midpoint and distance between points P(3,5) and Q(7,5)
storchak [24]

The formula of a midpoint:

M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the points P(3, 5) and Q(7, 5). Substitute:

x=\dfrac{3+7}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{5+5}{2}=\dfrac{10}{2}=5

<h3>M(5, 5)</h3>

d=\sqrt{(5-5)^2+(7-3)^2}=\sqrt{0^2+4^2}=\sqrt{4^2}=4

<h3>Answer:</h3><h3>Midpoint = (5, 5)</h3><h3>Distance = 4</h3>
4 0
3 years ago
A random sample of 27 items is drawn from a population whose standard deviation is unknown. The sample mean is x¯ = 940 and the
babunello [35]

Answer:

t value= 99%

Step-by-step explanation:

5 0
3 years ago
Enzel goes online to buy a graphing calculator. He finds a site that currently has a promotion of 15% off on all orders over $50
maw [93]
<h2>Steps</h2>

So firstly, we need to find the discounted price. Since this is going to be a <em>decrease by percentage</em>, we will be using this format:

  • (1 - p)m
  • <em>(p = percentage in decimal form and m = original price)</em>

In this case:

15\% = 0.15\\\\(1-0.15)*83\\0.85*83\\70.55

Now that we have the discounted price, we must apply the 4.5% sales tax. Since this is going to be an <em>increase by percentage</em>, we will be using this format:

  • (1 + p)m

In this case:

4.5\%=0.045\\\\(1+0.045)*73.55\\1.045*70.55\\73.72

Now we have the discounted price with the sales tax. Now all we have to do is add the shipping fee:

73.72+6.35=80.07

<h2>Answer</h2>

<u>The total price of Enzel's purchase is $80.07.</u>

8 0
3 years ago
Read 2 more answers
Please help<br><br> Work out the product of 1 4/5 and 1 5/8 give your answer as a mixed number
Katyanochek1 [597]

Answer: 117/40 or 2.925

8 0
3 years ago
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