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Aloiza [94]
4 years ago
6

What transformations to the linear parent function, f(x) = x, give the function

Mathematics
1 answer:
77julia77 [94]4 years ago
7 0

Answer:

A. Shift down 2 units.

B. Vertically stretch by a factor of 4.

Step-by-step explanation:

Given the function

f(x)=x

If we stretch y vertically by a factor of m, we have: y=m·f (x)

Therefore:

Vertically stretching f(x) by a factor of 4, we have: 4x.

Next, if we take down f(x) by k units we have: y= f(x)-k

Therefore: Taking down 4x by 2 units, we obtain:

g(x)=4x-2

Therefore, Options A and B applies.

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Find the midpoint of the line segment whose endpoints are (3, 10) and (7, 8).
Stels [109]

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the coordinates of lines segment (3, 10) and (7, 8). we have to find the mid-point of given line segment.

Mid-point formula states that if (x_1,y_1) and (x_2,y_2) are the coordinates of end points of line segment then the coordinates of mid-point are

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

∴ Coordinates of mid-point of line segment joining the points          (3, 10) and (7, 8) are

(\frac{3+7}{2},\frac{10+8}{2})=(\frac{10}{2},\frac{18}{2})=(5,9)

Hence, option 2 is correct.

6 0
3 years ago
Read 2 more answers
Which is the better deal: 8 ounces of shampoo for $0.89 or 12 ounces for 1.47.
Otrada [13]
8 Ounces of shampoo for $0.89
6 0
3 years ago
What value is the 6 in 49.62
Amiraneli [1.4K]

The value of the "6" in 49.62 is in the<u> tenth</u> place

7 0
3 years ago
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A motorboat takes 5 hours to travel 200 miles going upstream. The return trip takes 4 hours going downstream. What is the rate o
dsp73

Answer:

rate of motorboat: b

rate of current: c

So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$

Step-by-step explanation:

d = rt

200 = (b - c)\cdot 5

200 = (b + c)\cdot 4

b - c = 40

b + c = 50

Adding these equations, we get:

2b = 90

b = 45

So

c = 50 - 45 = 5

<u>Therefore the rate of the boat is 45kph, and the rate of the current is 5kph</u>

Hope this helps :)

4 0
3 years ago
What is the probability that a student prefers chocolate given that the students is a girl?
koban [17]

Answer:

The probability is 1/2.

Step-by-step explanation:

There are a total of 40 girls that are surveyed and 20 prefer chocolate. If you write that as a fraction 20/40, it simplifies to 1/2.

7 0
3 years ago
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