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steposvetlana [31]
3 years ago
12

If p(x)=2x^2-4x and q(x)= x-3 what is (p•q)(x)

Mathematics
1 answer:
siniylev [52]3 years ago
8 0
The use of the symbol • in <span>(p•q)(x) is confusing.

You may be using it to indicate multiplication or to indicate composition of functions.

The operation and the results will be different in each case.

So, make sure that you interpret the problem correctly. I will do the problem for the two cases to help you.

1) if </span><span>• means multiplication:

</span>use the distributive property:

<span>(p•q)(x) = (2x^2 - 4x) (x - 3) = 2x^3 - 6x^2 - 4x^2 + 12 x = 2x^3 - 10x^2 + 12x

2) if </span><span>• means compositon of functions:

=> </span><span>(p•q)(x) = p [ q(x)] = p [ x -3] = 2 (x - 3)^2 - 4(x - 3)

= 2[x^2 - 6x + 9] - 4x + 12 = 2x^2 - 12x + 18 - 4x + 12 = 2x^2  - 16x + 30

Then, only make sure of the use of the symbol </span><span>• in (</span><span>p•q)(x) , which you can find in the context of the question.</span>
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Answer:

p = -3

Step-by-step explanation:

Apply algebra to the equation by subtracting 4 from each side, that way it will cancel out at least the 4 next to p. It should now look like this: p = -3

Because we can't make anymore moves and the expression clearly states what p is, we're done!

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For the following question, what is the value of x to the nearest tenth?
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Answer:

A. 4.2

Step-by-step explanation:

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Answer: Check out the attached diagram below for the filled out table.

Explanation:

  • A) This is correct. You basically stick a minus sign out front to reflect over the x axis (aka the line y = 0).
  • B) Replacing x with x+2 will shift the graph 2 units to the left. Adding on 3 at the end will shift it up 3 units.
  • C) A vertical stretch, aka vertical dilation, makes the graph taller than it already is. In this case, we want to stretch it to make it twice as tall. That explains the 2 out front. The negative is there to reflect over the x axis.
  • D) The -2 is to apply a dilation of 2 and do a reflection. The +6 is so ensure that the vertex arrives at the proper location (0,6) so that we reflect over y = 3.
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For hockey practice, Rosa has to skate around a face off circle five times. The face off circle has a diameter of 9.0m. About ho
SVETLANKA909090 [29]

Answer:

Distance\ cover\ by\ Rosa = 141.3\ m

Step-by-step explanation:

Given:

Rosa has to skate around a face off circle five times.

Distance = 5\times circumfrance\ of\ circle

Diameter of a circle = 9.0 m

Radius of a circle = \frac{d}{2} =\frac{9}{2}=4.5\ m

Solution:

We know that the circumference of a circle.

C = 2\pi r

Where;

r = Radius of a circle

Substitute \pi =3.14\ and\ r = 4.5 in above equation.

C = 2\times 3.14\times 4.5

C = 28.26\ m

So, the circumference of the circle is 28.26 m.

Rosa has to skate around a face off circle five times, so Rosa cover 28.26 m 5 times.

Distance\ cover\ by\ Rosa = 5\times 28.26

Distance\ cover\ by\ Rosa = 141.3\ m

Therefore, the distance cover by Rosa to skate 141.3 m.

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