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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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Simplify √ a^7 , where a>0 Which expression is equivalent to √a^7

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Answer:

$a^{3} \sqrt[]{a}$

Step-by-step explanation:

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3 years ago

Triangle ABC has verticals A (3,0),B (9,5)and (7,-8) find the length of AC in simplest radical form

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$length = \sqrt{(0+8)^2 + (3-7)^2} = \sqrt{64 + 16} = \sqrt{80} = 4\sqrt{5}$

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4 years ago

Rewrite the following polynomial in standard form

blagie [28]

Answer:

-7x³ - ⅑x - 1

Step-by-step explanation:

A polynomial written in standard form would be written in such a way that the term with the highest degree comes first, followed by the second highest and so on, then what comes last is the constant.

Given the polynomial -7x³ - 1 - ⅑x, -7x³ with the highest degree comes first, followed by -⅑x, and then the constant, -1, comes last.

Thus, we would have:

✅-7x³ - ⅑x - 1

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3 years ago

Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca

timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the Mean for sample of taste of pizza in California:

μ₁ = $\frac{34+39+40+46+33+31+34+14+15+45}{10}$ = 33.1

Calculating the Mean for the sample in Iowa:

μ₂ = $\frac{28+25+35+16+25+29+24+26+17+20}{10}$ = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The Variance for the sample in California is

σ² = $\frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}$ σ² = 120.50