MATHEMATICS HIGH SCHOOL

What is the quotient (x3 + 3x2 + 5x + 3) ÷ (x + 1)?x2 + 4x + 9
x2 + 2x
x2 + 2x + 3
x2 + 3x + 8

Answers

Answer 1
Answer:

Answer:  The correct option is (C) x^2+2x+3.

Step-by-step explanation:  We are given to find the quotient by dividing the following :

Q=(x^3+3x^2+5x+3)/(x+1).

We will try to factorize the numerator ad then divide by the denominator to find the quotient.

We have

Q\n\n\n=(x^3+3x^2+5x+3)/(x+1)\n\n\n=(x^2(x+1)+2x(x+1)+3(x+1))/(x+1)\n\n\n=((x+1)(x^2+2x+3))/((x+1))\n\n=x^2+2x+3.

Thus, the required quotient is x^2+2x+3.

Option (C) is correct.
Answer 2
Answer: Hello,

Answer C

x^3+3x²+5x+3=x^3+2x²+3x + x²+2x+3=x(x²+2x+3)+1(x²+2x+3)=(x²+2x+3)(x+1)

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The original price of a computer is $599.99. Suzie has a 15%-off coupon for the computer. A sales tax of 7% will be added to the sale price of the computer. Which expression would calculate how much Suzie will pay for the computer?

Answers

The required cost of a computer Suzie will pay is $545.69.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The original price of a computer is $599.99.
Suzie has a 15%-off coupon for the computer.
Discounted price = (1 - 0.15)×599.99

Discounted price = 0.85×599.99

A sales tax of 7% will be added to the sale price of the computer.
Price of the computer after taxes = (1 + 0.07)0.85×599.99
                                                   = $545.69

Thus, the required cost of a computer Suzie will pay is $545.69.

Learn more about percentages here:

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Answer:$731.99

Step-by-step explanation:

3/8 x 8/9=

A:21/72

B:11/17

C:1/3

D:12/17

Answers

The answer is C because of you multiply 1/3 x 24 then you’ll get 24/72 which is the answer

Which System of Equations represents the problem given?Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 jars of
jelly and 5 jars of peanut butter for $15.67. Find the cost of a jar of peanut butter.

answer choices in pic

Answers

Answer:

  see below

Step-by-step explanation:

If we let j represent the cost of a jar of jelly, and p represent the cost of a jar of peanut butter, then Erin's purchase has the dollar value ...

  4j +6p = 19.32

Only the answer choice shown below includes this equation.

Find x in circle O. Figure is not drawn to scale. HURRY PLEASE

Answers

Answer:

B. 23,5

Step-by-step explanation:

6t^3 * 6t^3

A. 12t^3
B. 12t^6
C. 36t^6
D. 36t^9

Answers

6t^3 * 6t^3
6 * 6 * t^3+3
36t^6

So, the answer is C.

6t³ * 6t³

= 6 * t³ * 6 * t³

Combine like terms

6 * 6 * t³ * t³

36 * t^6

= 36t^6


The answer is C


Good night


Is 17 heart beats in 15 seconds and 68 heart beats in 60 seconds equivalent. Why

Answers

The required, 17 heartbeats in 15 seconds and 68 heartbeats in 60 seconds are equivalent.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
17 heartbeats in 15 seconds
Ratio = 17 / 15

Now,
68 heartbeats in 60 seconds
Ratio = 68 / 60
        = 17 × 4 / 15 × 4
        = 17 / 15

Thus, the required, 17 heartbeats in 15 seconds and 68 heartbeats in 60 seconds are equivalent.

Learn more about ratios here:

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Yes because if you divide 17 by 15 you get about 1.133 and if you divide 68 by 60 you also get about 1.133
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