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3 years ago

If p(x) = 2x2 – 4x and q(x) = x – 3 what is (p*q)(x)

2 answers:

6 0

The correct answer is 2x²-16x+30.

Explanation:
(p*q)(x) is a composition of the two functions p(x) and q(x); it is the same as p(q(x)). We replace every x in p(x) with our value of q(x), x-3:
instead of 2x², we have 2(x-3)², and instead of -4x, we have -4(x-3).

This gives us 2(x-3)²-4(x-3). This is the same as 2(x-3)(x-3)-4(x-3).

Multiplying, we have
2(x*x-3*x-3*x-3(-3))-(4*x-4*3)
=2(x²-3x-3x+9)-(4x-12)
=2(x²-6x+9)-4x+12.

Using the distributive property gives us
2*x²-2*6x+2*9-4x+12
=2x²-12x+19-4x+12.

Combine like terms, and we have 2x²-16x+30.

DaniilM [7]3 years ago

4 0

Answer:

2x^2-16x+30

Step-by-step explanation:

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In 2015, the population of a small town in Florida is 95. If he population increases 15% every year, approximately what will the

vova2212 [387]

The population is increasing every year. so we use exponential growth function

$y=a(1+r)^x$

Where 'a' is the initial population

r is the rate of increase

x is the years

y is the final population

In 2015, the population of a small town in Florida is 95

Initial population a= 95

r= 15%= 0.15

x = 2023 - 2015 = 8 years

Plug in all the values and find out y

$y=a(1+r)^x$

$y=95(1+0.15)^8$

y = 290.607

The population in 2023 is 291

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3 years ago

On a number line, point D is at -6, and point E is at 8. Point F lies between points D and E. If DF: FEis 3: 1, where does point

Vadim26 [7]

F is located on the number 4.5 on the number line.

<h3></h3><h3>Where does point F lie on the number line?</h3>

We know that point D is at -6

Point E is at 8.

Point F is between D and E, such that the ratio:

DF:FE is 3:1

So if we divide the distance between D and E in 4 parts, 3 of these parts are DF, and one of these parts is FE.

First, the distance between E and D is:

distance = 8 - (-6) = 14 units.

Now, if we divide that by 4, we get:

14/4 = 3.5

Then we have:

DF = 3*(3.5) = 10.5

This means that F is at 10.5 units to the right of D, then:

F = D + 10.5 = -6 + 10.5 = 4.5

F is located on the number 4.5 on the number line.

If you want to learn more about ratios:

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2 years ago

The cost of 8 tacos is $6.00 at henry's food truck. what would be the cost of 13 tacos at the food truck?

saw5 [17]

$9.75 because one taco is 0.75 and 13 x 0.75 is $9.75

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3 years ago

Factorise the following expressions. a) 6x + 5x + 1 b) 6x2 13x + 6

fredd [130]

Answer:

a) 1 1 + 1

b)1 3 + 1 8

Step-by-step explanation:

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Determine weather the two expressions are equivelent tell what property is applied if not explain why (35+17)+43 and 35 +(17+43)

madam [21]

Answer:

Associative Property

Step-by-step explanation:

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