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3 years ago

Find the Quotient and Remainder. 5x^3 - 6x^2 + x + 7 divided by x^2

Mathematics

1 answer:

12345 [234]3 years ago

5 0

Step-by-step explanation:

Solution

According to remainder theorem, when f(x) is divided by (x+2), Remainder =f(−2)

f(x)=5x3+2x2−6x+12

f(−2)=5(−2)3+2(−2)2−6(−2)+12

=5×−8+2×4+12+12

=−40+32=−8

∴ Remainder=−8

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Using complete sentences, discuss the different kinds of real numbers. In your answer, glve an example of each type and discuss

Nadya [2.5K]

Answer:

Different type of real numbers include natural numbers, whole numbers, integers, irrational numbers, and rational numbers. Natural numbers are the set of numbers (1, 2, 3, 4...) also known as counting numbers. Whole numbers are natural numbers including zero (0, 1, 2, 3, 4...). Integers are the set of whole numbers and their opposites (-3, -2, -1, 0, 1, 2, 3...). Irrational numbers are numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating. An example of an irrational number is pi (3.14). A rational number is a number that can be written as a fraction. It includes integers, terminating decimals, and repeating decimals. An example of a rational number is the number 214.

Step-by-step explanation:

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3 years ago

Point G(-3,2) is translated using the rule (x+10, y-6). What is the x-coordinate of G'? Enter your answer in the box.

aleksklad [387]

Answer:

7 is the Anwser

Step-by-step explanation:

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4 years ago

What are the vertical asymptote(s) and hole(s) for the graph of y= x-1 over X squared + 6x+ 8

san4es73 [151]

Answer:

You have vertical asymptotes on x=-4,-2

Step-by-step explanation:

This question is very simple. Since you have a denominator all you need to do is factor the bottom and find the zeros. When you factor the bottom of the equation you should get (x+4)(x+2). Now you have to set the bottom equal to zero to find the zeros. This means (x+4)=0 and (x+2)=0 So you get two answers x=-4 and x=-2 Therefore your two vertical asymptotes are on x-4,-2

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4 years ago

A professor has 24 pairs of socks in his drawer. 18 pairs are black and the rest are brown. He always wears black pants. He does

lesya692 [45]

Answer:

The likelihood that the professor's socks matched his pants on both days is 0.5625

Step-by-step explanation:

Total no. of pair of socks = 24

No. of black pairs = 18

We are given that he selects one pair of socks on Monday and one on Tuesday. Since he has lots of clean socks in the drawer he does not do laundry.

So, It is a case of replacement

He always wears black pants.

We are supposed to find he likelihood that the professor's socks matched his pants on both days i.e. Black socks both days.

So ,Probability of wearing black socks on Monday = $\frac{18}{24}$

So ,Probability of wearing black socks on Tuesday = $\frac{18}{24}$

So,the likelihood that the professor's socks matched his pants on both days = $\frac{18}{24} \times \frac{18}{24}=0.5625$

Hence the likelihood that the professor's socks matched his pants on both days is 0.5625

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3 years ago

WILL GIVE BRAINLEIST NEED TO TURN IN BY 9 P.M. PLS HURRY SUPER EASY

Klio2033 [76]

Answer:

1. true

2. false

Step-by-step explanation:

1.there are no restrictions on what makes it true so it can be any number

2. only one answer because

m+8=12

subtract 8

m=4

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3 years ago

Read 2 more answers