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2 years ago

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The graph of y=h(x) is shown below. The function f(x) is defined by f(x) =-1/2h(x)+3. (a) What three transformations have occurr

ed to the graph of h to produce the graph of f? Specify the transformations and the order they occurred in.

1 answer:

Fudgin [204]2 years ago

3 0

Answer:

Reflection over x, Stretch by 1/2, translate up 3 units

Step-by-step explanation:

:)

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Amanda can proofread 17 reports in an hour, while Sally can proofread 28 reports in an hour. If they have 420 reports to proofre

mafiozo [28]

Answer:

9 hours and 20 minutes.

Step-by-step explanation:

In one hour, Amanda can proofread 17 reports.

In one hour, Sally can proofread 28 reports.

That means together, they can proofread 45 reports in one hour.

So we need to divide the total amount of reports by how much they can read in an hour:

420/45 = 28/3 = 9 1/3

The time it takes between the two of them is 9 hours and 20 minutes.

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2 years ago

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1.An object falls from rest on a high tower and takes 5.0 s to hit the ground. Calculate the object’s position from the top of t

Arte-miy333 [17]

We will be using this equation for this problem
d = ut + ½.at²
<span>Given:</span>
<span>initial velocity, u = 0 (falling from rest) </span>
<span>acceleration, a = +9.80 m/s²(taking down as the convenient positive direction) </span>
<span>Time = 1.0s, 2.0s, 3.0s, 4.0s, 5.0s </span>

<span>Using .. d = ½.at² each time (each calculation is the distance from the top) </span>
<span>For 1.0s .. d = ½ x 9.80 x (1²) = 4.90 m </span>
<span>For 2.0s .. d = ½ x 9.80 x (2²) = 19.60 m </span>
<span>3.0s .. d = 44.10m (you show the working for the rest) </span>
<span>4.0s .. d = 78.40 m </span>
<span>5.0s .. d = 122.50m </span>

<span>Plot distance (displacement from the top) on the y-axis against time on the x-axis (label axes and give units for each).The line of best fit will be a smoothly upward curving line getting progressively steeper. Do not join graph points with straight lines.</span>

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2 years ago

Read 2 more answers

You’re assembling desserts with a friend. Together you can make 12 desserts in five minutes. Two more friends arrive and you are

Dafna1 [17]

Well there's 10 minutes in the second part so first 48/2 is 24. Now 24/4 (since there's 4 people so far) is 6, now 6*6 because there's now 6 people in total so the final answer is 36 in 5 minutes

8 0

2 years ago

Matthew has recorded the amount he's saved every three months. Months Savings 3 $1,800 6 $3,600 9 $5,400 Christopher saves $550

sammy [17]

The <u>correct answer</u> is:

Matthew's rate is higher by $50 per month.

Explanation:

We know that Christopher's rate is $550 per month.

To find Matthew's rate, we will treat the data we have as ordered pairs:
(3, 1800)
(6, 3600)
(9, 5400)

We find the slope of the line between these points. The formula for slope is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the first two points, we have:
$m=\frac{3600-1800}{6-3}=\frac{1800}{3}=600$

To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:

$m=\frac{5400-3600}{9-6}=\frac{1800}{3}=600$

Matthew's rate is $600 per month.
This is higher than Christopher's by 600-550=$50 per month.

6 0

2 years ago

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Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We

Mama L [17]

Answer:

$222

Step-by-step explanation:

We need to find how many ream was used in the printing forts, to determine how much the College spent.

The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.

No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.

If 500 pages = 1 realm, therefore,

14,850 pages = 14,850/500 = 29.7.

Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.

If 1 ream costs $7.40, therefore,

30 reams = 30*7.40 = $222

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2 years ago