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EleoNora [17]
3 years ago
9

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

Mathematics
2 answers:
igomit [66]3 years ago
6 0
<span>The correct answer is 2x</span>²<span>-16x+30.

Explanation<span>:
(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 2x</span></span>²<span><span>, we have 2(x-3)</span></span>²<span><span>, and instead of -4x, we have -4(x-3).

This gives us 2(x-3)</span></span>²<span><span>-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(x</span></span>²<span><span>-3x-3x+9)-(4x-12)
=2(x</span></span>²<span><span>-6x+9)-4x+12.

Using the distributive property gives us
2*x</span></span>²<span><span>-2*6x+2*9-4x+12
=2x</span></span>²<span><span>-12x+19-4x+12.

Combine like terms, and we have 2x</span></span>²<span><span>-16x+30.</span></span>
DaniilM [7]3 years ago
4 0

Answer:

2x^2-16x+30

Step-by-step explanation:

Just took the quiz

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Replace ? with =, &gt;, or &lt; to make the statement true.
alekssr [168]
The answer is 12 ÷ 4 + 13 > 2 + 22 ÷ 2
8 0
3 years ago
sam had 70 erasers and rulers. after giving away 1/3 of his erasers and 10 rulers, he had an equal number of erasers and rulers
Radda [10]

Answer:

36 erasers

Step-by-step explanation:

Let number of erasers be e

let number of rulers be r

We can write:

e + r = 70

and

After giving away, he has

Erasers:  2/3e

Rulers:  r - 10

These two are equal, so we can write and solve:

2/3e = r - 10

2/3e + 10 = r

Putting this in initial equation, we have:

e + (2/3e + 10) = 70

5/3e + 10 = 70

5/3 e = 60

e = 36

And rulers is:

r = 2/3(36) + 10 = 34

Hence, he had 36 erasers in the beginning

4 0
3 years ago
Brody bought 17 chicken wings for $37.40. What's the unit cost of one wing?
lana [24]

<u>2.2</u>

Question:

Brody bought 17 chicken wings for $37.40. What's the unit cost of one wing?

Solution given:

17 chicken wings = $37.40

1chicken wings =$37.40/17*1=$2.2

<u>2</u><u>.</u><u>2</u>

7 0
2 years ago
NEED HELP SOON!!!!<br> for any numbers a, b, and c, a(b + c)=ab+ac
navik [9.2K]

The property displayed here is the distributive property.

If you have a variable or unknown number inside or outside of parentheses, you can distribute it to each term and add the terms together, and it will remain true.

Example:

4(x + 5)

After distributing, it'll look like this:

4x + 20


6 0
3 years ago
A radio station had 170 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees. How many tick
never [62]
Employees: 34

170÷4x +1x
170=5x
34=x

1x=34 Employees 4x= 136 Listeners
5 0
3 years ago
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