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11Alexandr11 [23.1K]
3 years ago
15

Write a function that transforms in the following way vertical stretch by a factor of six and ships four units left and four uni

ts up

Mathematics
1 answer:
LiRa [457]3 years ago
3 0

Answer:

D) g(x) = (6/(x + 4)) + 4

Step-by-step explanation:

f(x) = 1/x

stretch by 6 times

g(x) = 6/x

shift 4 units left

g(x) = 6/(x + 4)

shift 4 units up

g(x) = 4 + 6/(x + 4)

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Find the lowest common denominator of 3/4 and 5/8 A. 16 B. 32 C. 8 D. 4.
Alekssandra [29.7K]
The answer is C. 8. Then both can have a denominator that looks like this..
6/8 and 5/8. Hope it helps!
6 0
3 years ago
Which number is equivalent to 17.02?<br> 17.020 , 17.22 , 17 , 17.002
Irina18 [472]

Answer:

Step-by-step explanation:

17.020

3 0
3 years ago
A triangle has base 2x+1 and height 6x-3. What value of x would give an area of 240m2?
GREYUIT [131]

Answer:

The values of x which would give an area of 240m² would be:

x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}

Step-by-step explanation:

Given

The base of triangle b = 2x+1

The height of triangle h = 6x-3

The Area of the triangle A = 240 m²

The Area of the triangle has the formula

A = 1/2 × b × h

substituting b = 2x+1, h = 6x-3 and A = 240

240\:=\:\frac{1}{2}\:\left(2x+1\right)\:\times \left(6x-3\right)

480=\left(2x+1\right)\left(6x-3\right)

480=12x^2-3

Subtract 480 from both sides

12x^2-3-480=480-480

12x^2-483=0

3\left(4x^2-161\right)=0

3\left(2x+\sqrt{161}\right)\left(2x-\sqrt{161}\right)=0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

2x+\sqrt{161}=0\quad \mathrm{or}\quad \:2x-\sqrt{161}=0

solving

2x+\sqrt{161}=0

2x=-\sqrt{161}

Divide both sides by 2

\frac{2x}{2}=\frac{-\sqrt{161}}{2}

x=-\frac{\sqrt{161}}{2}

also solving

2x-\sqrt{161}=0

2x=\sqrt{161}

Divide both sides by 2

\frac{2x}{2}=\frac{\sqrt{161}}{2}

x=\frac{\sqrt{161}}{2}

Therefore, the values of x which would give an area of 240m² would be:

x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}

3 0
2 years ago
Two quantities, x and y, are directly proportional. If x is halved, what happens to y?
Contact [7]
Y should also be halved.

For example, if x=4 and y=2, x=2y.
If x is halved for x=2, you get 2=2y, or y=1, which is still one half of x, so the proportion remains the same.
5 0
3 years ago
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Going to sleep goodbye
Mice21 [21]

Answer:

good byy

Step-by-step explanation:

sweet dreams.

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4 0
3 years ago
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