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3 years ago

Use Synthetic Division to divide 6x^3-10x^2+20 by x+1 Quotient:_ Remainder:_

Mathematics

1 answer:

exis [7]3 years ago

6 0

Answer:

the quotient is 6x^2 - 16x + 16, and the remainder is just 4

Step-by-step explanation:

The polynomial 6x^3-10x^2+20 has coefficients {6, -10, 0, 20}. Division by the binomial x + 1 requires that we use -1 as the divisor. The synthetic division setup becomes:

-1 / 6 -10 0 20

-6 16 -16

-----------------------------

6 -16 16 4

Taking the coefficients {6, -16, 16}, we write the quotient as

6x^2 - 16x + 16, and the remainder as just 4.

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Solve the following system of equations algebraically 3x-y=0 5x+2y=22

Lyrx [107]

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5x + 2y = 22 ⇒ 1(5x + 2y = 22) ⇒ 5x + 2y = 22

11x = 22

x = 2

3x - y = 0 ⇒ 3(2) - y = 0 ⇒ 6 - y = 0 ⇒ 6 = y

Answer: x=2, y=6

3 0

3 years ago

PLEASE HELP

Natalka [10]

Answer:

Step-by-step explanation:

the median is the number in the middle of a sorted array

here it has 10 numbers, so the median will be the average of the 5th and the 6th number

the 5th number is 7 and the 6th number is 7

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4 0

2 years ago

So I need help pls show ur work

Ad libitum [116K]

Answer:

x = – ⅓

Step-by-step explanation:

The solution to the expression can be obtained as follow:

–3.1x + 7 – 7.4x = 1.5x – 6(x – 3/2)

Clear bracket

–3.1x + 7 – 7.4x = 1.5x – 6x + 9

–3.1x – 7.4x + 7 = –4.5x + 9

–10.5x + 7 = –4.5x + 9

Collect like terms

–10.5x + 4.5x = 9 – 7

–6x = 2

Divide both side by –6

x = 2 / –6

x = – ⅓

Thus, the solution to the equation is –⅓

7 0

3 years ago

[GIVING BRANLIEST]

My name is Ann [436]

Answer : C
Explanation:

7 0

3 years ago

If I can paint a wall in 20 min and my friend can paint a wall in 30 min. How many minutes would it take for us to paint a wall

ra1l [238]

Answer: $12\ \text{min}$

Step-by-step explanation:

Given

It takes 20 min and 30 min for a person and his friend to paint a wall individually i.e.

In 1 min they cover $\frac{1}{20}$ part and $\frac{1}{30}$ part of wall respectively.

If the work together, 1 minute work is

$\Rightarrow \dfrac{1}{20}+\dfrac{1}{30}\\\\\Rightarrow \dfrac{3+2}{60}\\\\\Rightarrow \dfrac{5}{60}$

Time required will be reciprocal of it

$\Rightarrow \dfrac{60}{5}=12\ \text{min}$

3 0

3 years ago

Use Synthetic Division to divide 6x^3-10x^2+20 by x+1 Quotient:_____ Remainder:_____

Use Synthetic Division to divide 6x^3-10x^2+20 by x+1 Quotient:_ Remainder:_