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3 years ago

Given a parent function y=x^3, write a function with the following transformations: right 3, up 2, dilated by a factor of 1/2.

Mathematics

1 answer:

ser-zykov [4K]3 years ago

7 0

Answer:

h(x) = (1/2)(x - 3)^2 + 2

Step-by-step explanation:

Start with y = x^3.

Multiply x^3 by the dilation factor (1/2); this compresses the graph vertically.

Next, replace the x in x^3 with (x - 3). This shifts the graph 3 units to the right.

Last, starting with your g(x) = (1/2)(x - 3)^2, add 2

You will end up with h(x) = (1/2)(x - 3)^2 + 2.

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Given right triangle DEF, what is the value of sin(E)? A. 3/5 B. 3/4 C. 4/5 D. 4/3

wariber [46]

Answer: OPTION A.

Step-by-step explanation:

First you must calculate the lenght of the side DF by applying the Pythagorean theorem, as following:

$DE=\sqrt{10^{2}-8^{2}}=6$

Now you can find sin(E) as you can see below:

$sin\alpha=opposite/hypotenuse$

Where:

$\alpha=E\\opposite=DF=6\\hypotenuse=EF=10$

Then:

$sin(E)=6/10$

$sin(E)=3/5$

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alex41 [277]

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3 years ago

Four more than twice a number a.2x+4 b.4x+2 c.6x d.2x > 4

makkiz [27]

Answer:

a. 2x + 4

Step-by-step explanation:

Four more than twice a number

Let x = unknown number

Four more than twice of x

Twice of x can be written as 2x

Four more than 2x

Four more can be written as + 4

We get 2x + 4

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2 years ago

When a farmer harvests apples he expects 6% of the apples to be rotten how many apples would the farmer expect to be rotting whe

guapka [62]

The question is incomplete had the number of harvested apples isn't given.

Answer:

0.06n

Step-by-step explanation:

When a farmer harvests apples he expects 6% of the apples to be rotten how many apples would the farmer expect to be rotting when harvesting apples

The expected percentage of rotten apples when harvesting = 6%

The expected number of rotten apples can be obtained by taking the product of the expected percentage and the number of apples to be harvested.

Since the number of harvested apples isn't given,

Let the number of harvested apples = n

Therefore, the expected number of rotten apples will be :

6% * n

0.06n

Note : you can easily substitute the actual number of harvested apples for n in the equto get the actual answer

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3 years ago