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3 years ago

P(x)⋅Q(x)=R(x); if P(x)=x+2 and R(x)=x3−2x2−6x+4, what is Q(x)?

Mathematics

1 answer:

STatiana [176]3 years ago

7 0

Answer: Q(x) = x² - 4x + 2

<u>Step-by-step explanation:</u>

P(x) · Q(x) = R(x) ⇒ Q(x) = R(x)/P(x)

R(x) = x³ - 2x² - 6x + 4 ÷ P(x) = x + 2

I will use synthetic division (but you can also use long division).

-2 | 1 -2 -6 4

1 -4 2 0 ← remainder

The reduced polynomial is: x² - 4x + 2

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In a statistics class of 13 sophomores, 12 juniors, and 8 seniors, 5 of whom are male sophomores, 6 of whom are female juniors,

8_murik_8 [283]

Answer:

$\frac{20}{33}$

Step-by-step explanation:

We are given that

Sophomores=13

Juniors=12

Seniors=8

Male sophomores=5

Female sophomores=6

Male seniors=4

We have to find the probability of randomly selecting a junior or a senior.

Total persons=13+12+8=33

Let A=Seniors

B=Juniors

Probability,P(E)= $\frac{number\;of\;favorable\;cases}{total\;number\;of cases}$

Using the formula of probability

$P(A)=\frac{8}{33}$

$P(B)=\frac{12}{33}$

$A\cap B=0$

$P(A\cap B)=0$

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

$P(A\cup B)=\frac{8}{33}+\frac{12}{33}$

$P(A\cup B)=\frac{8+12}{33}=\frac{20}{33}$

Hence, the probability of selecting a junior or senior= $\frac{20}{33}$

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Which of the following expressions represent 15% tip on a $20 meal? Which represents the total bill? **Select all that apply**.

kifflom [539]

Answer:

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