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Margarita [4]
2 years ago
7

write a function that transforms f(x)=2^3+4 in the following way: stretch vertically by a factor of 6 and shift 5 units left.

Mathematics
1 answer:
maksim [4K]2 years ago
8 0

Answer:

f(x) = 2x3 + 4

Stretch vertically be a factor of 2:

f(x) = 2*2x3 + 4 = 4x3 + 4

Shift 5 units to the left:

f(x) = 4(x+5)3 + 4

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How to figure it out
ollegr [7]
Y = kx
72 = k*3
73/3 = k
24 = k

y = 24x

4 0
3 years ago
A right triangle has an area of 18 The length of each leg is 6 inches. If the triangle is not an isosceles triangle, what are al
ladessa [460]

Given:

Area of a right triangle = 18 sq. inches

Length of one leg = 6 inches

To find:

The length of another leg.

Solution:

We know that, the area of a triangle is

A=\dfrac{1}{2}\times base\times height

In a right angle triangle, the area of the triangle is

A=\dfrac{1}{2}\times leg_1\times leg_2

Putting A=18 and leg_1=6, we get

18=\dfrac{1}{2}\times 6\times leg_2

18=3\times leg_2

Divide both sides by 3.

\dfrac{18}{3}=leg_2

6=leg_2

Both legs are equal so the given triangle is an isosceles right triangle.

If the triangle is not isosceles triangle, then the length of legs are factors of 36 because half of 36 is 18.

Therefore, the possible pairs of legs are 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, 9 and 4, 12 and 3, 18 and 2, 36 and 1.

5 0
3 years ago
75 POINTS!!! PLEASE ANSWERl
denpristay [2]

Answer:

67th percentile

Step-by-step explanation:

If the mean is 8 with a standard deviation of 1.5, the percentile rank of a shoe with at least a size of 9 is 66.6 repeating, or 67th if rounded.

4 0
3 years ago
Read 2 more answers
A rectangle has perimeter, P, length, land width, w. Which of the following represents lin
almond37 [142]

Answer:

l=\frac{P}{2}-w.

Step-by-step explanation:

The perimeter of a rectangle is the sum of it's side lengths.

A rectangle has 4 sides where it's opposite sides are congruent.

So if one side has measurement w, then there is another side that has measurement w.

If there is one side that has measurement l, then there is another side that has measurement l.

So if you add w+w+l+l you get 2w+2l.

They are giving us that the perimeter is P, so P=2w+2l.

we are being asking to solve for l.

P=2w+2l

First step: Isolate term that contains the l, so get 2l by itself first.

We are going to subtract 2w on both sides giving us:

P-2w=2l

2l=P-2w

Now that we have 2l by itself it is time to perform the last step in getting l by itself.

Second step: Divide both sides by 2.

This gives us:

l=(P-2w)/2

You may separate the fraction like so:

l=\frac{P-2w}{2}=\frac{P}{2}-\frac{2w}{2}=\frac{P}{2}-w.

I don't know your options but I have solve for l in terms of P and w

and got l=\frac{P}{2}-w.

Please let me know if you have further questions with this problem.

4 0
4 years ago
Which of the following shows the number 7.12 x 10^-3 written in standard form? Answer choices : 0.00712 : 0.0712 : 0.712 : 7,120
svet-max [94.6K]
<span>written in standard form
</span><span>
7.12 x 10^-3  = 0.00712

hope it helps</span>
7 0
4 years ago
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