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gavmur [86]
3 years ago
7

Given the function P(x)=(x-1)^2, Write the new function wi†h a dilation of 2 ON THE X

Mathematics
1 answer:
Anton [14]3 years ago
3 0

Answer:

P(x2) = (x2/2 -1 )^2

Step-by-step explanation:

From the question, we have a dilation of 2 units on the x-axis

The individual points on the curve can be written as:

(x, P(x))

For the sake of ambiguity, let’s say P(x) is y

Now if the first point is (x1,y1) then the second is (x2,y2)

But since dilation is only on the x-axis y1 is same as y2

What this means is that;

our second point is still same as (x2,y1)

But x2 = 2x1

or x1 = x2/2

Thus; y2 or P(x2) = (x2/2 -1 )^2

Thus the horizontal dilation causes the new curve to be as written above

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Which of these is a simplified form of the equation 7y + 8 = 9 + 3y + 2y? 7y = 6 5y = 17 12y = 17 2y = 1
LekaFEV [45]
7y +8= 9+3y+2y

Combine like terms.

7y+8= 9+5y

Subtract 5y on both sides.

2y+8=9

Subtract 8 on both sides.

2y=1

Your answer is 2y=1

I hope this helps!
~kaikers
4 0
3 years ago
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A biologist is studying rainbow trout that live in a certain river and she estimates their mean length to be 529 millimeters. As
vredina [299]

Answer:

See the book it will definitely help you

7 0
2 years ago
The table compares the prices of four types of fruit. Which fruit is the best to buy?
taurus [48]

Divide the price by the quantity:

Bananas = 5.40 / 6 = 0.90 each

Oranges = 2.56/8 = 0.32 each

Apples = 4.68 / 12 = 0.39 each

Mangos = 3.16 / 4 = 0.79 each

Oranges have the lowest price each so are the best buy.

4 0
3 years ago
Find the height of the building below by using your knowledge of trigonometry.
Lilit [14]

Answer:

50\sqrt{3}

Step-by-step explanation:

The figure represents a 30-60-90 special triangle

in this special right triangle the measure of sides lengths is represented by

a, a\sqrt{3}, and 2a

The side length that sees angle measure 30 is represented by a and here we see a = 50m

The height of the building, which sees angle measure 60, is equal to

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5 0
2 years ago
Your English teacher has decided to randomly assign poems for the class to read. The syllabus includes four poems by Shakespeare
Tresset [83]
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.

So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.

At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39

The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
6 0
3 years ago
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