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Elza [17]
3 years ago
10

22. f(x) is stretched horizontally by a factor of 2 and reflected across the x-axis. Which choice shows the correct representati

on of f(x) after these transformations?
Options:

A. –f(1/2x)

B. f(–2x)

C. –f(2x)

D. f(–1/2x)
Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

A. -f(1/2 x)

Step-by-step explanation:

Reflextion about the x-axis is

f(x) -> -f(x)

and horizontal dilation is

f(x) -> f(-x/b) where b is the factor of dilation.

so the proper answwer is

A. -f(1/2 x)

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A pencil consists of a cone stacked on top of a cylinder. The diameter of the cylindrical base of the pencil is 10 mm and the he
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Answer:

790π

Step-by-step explanation:

We are given;

Diameter of cylinder;d = 10 mm

So, radius;r = 10/2 = 5 mm

Height of cylinder;h = 70mm

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Now, because one base of the cylinder is hidden as the cone is stacked on that face, we will deduct the area of that base face;

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For the cone,

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Since this is stacked directly on the cylinder, it will have the same radius. Thus; radius;r = 5mm

Now,formula for surface area of cone is;

S.A = πr² + πrL

Where L is slant height.

We can use pythagoras theorem to get L.

So, L² = r² + h²

L = √r² + h²

L = √(5² + 12²)

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Similar to what was done to the Cylinder, since the circular base of the cone is stacked on the cylinder, we will deduct the surface area of that base as it is hidden.

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7 0
3 years ago
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Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passe
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Answer:

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Step-by-step explanation:

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The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.

Three components are sampled.

Compute the probability of the test result as SFS as follows:

P (SFS) = P (S) × P (F) × P (S)

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Compute the probability of the test result as SSF as follows:

P (SSF) = P (S) × P (S) × P (F)

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Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

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{3x+2y=4    /*5
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<em>y=5</em>

5 0
3 years ago
Read 2 more answers
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