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inn [45]
1 year ago
10

Use the ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second.

Mathematics
1 answer:
Vanyuwa [196]1 year ago
6 0

The quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

<h3>How to determine the quotient and remainder when the first polynomial is divided by the second?</h3>

The polynomials are given as:

-4w^3 + 5w^2 - 8, w - 3

Set the divisor to 0.

So, we have

w - 3 = 0

Add 3 to both sides

w = 3

Substitute w = 3 in -4w^3 + 5w^2 - 8 to determine the remainder

-4(3)^3 + 5(3)^2 - 8

Evaluate the expression

-71

This means that the remainder when -4w^3 + 5w^2 - 8 is divided by w - 3 is -71

The quotient (Q) is calculated as follows:

Q = [-4w^3 + 5w^2 - 8]/[w - 3]

The numerator can be expressed as follows:

Numerator = -4w^3 + 5w^2 - 8

Subtract the remainder.

So, we have:

Numerator = -4w^3 + 5w^2 - 8 + 71

This gives

Numerator = -4w^3 + 5w^2 + 61

So, the quotient becomes

Q = [-4w^3 + 5w^2 + 61]/[w - 3]

Expand

Q = [(w - 3)(-4w^2 - 7w - 21)]/[w - 3]

Evaluate

Q = -4w^2 - 7w - 21

Hence, the quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

Read more about polynomials at:

brainly.com/question/4142886

#SPJ1

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iren2701 [21]

The system of equations are y = 35 - 2.2x and y = 1.7x

<em><u>Solution:</u></em>

Given that, office building has two elevators.

<em><u>One elevator starts out on the 4th floor, 35 feet above the ground, as it’s descending at a rate of 2.2 feet per second</u></em>

Let "x" be the number of seconds for which the elevator is descending

Therefore, for "x" seconds the descended feet is 2.2x feet

The elevator is at 4 th floor, 35 feet above ground

Therefore, from 35 feet, the elevator has descended 2.2x feet for "x" seconds

Let "y" be the final position of elevator after "x" seconds

Therefore,

y = 35 - 2.2x

<em><u>The other elevator starts out at ground level and is rising at a rate of 1.7 feet per second</u></em>

Here, the elevator is rising at a rate of 1.7 feet per second

Therefore, for "x" seconds, the elevator has raised 1.7x feet

Here the elevator is at ground level, therefore

y = 1.7x

Thus the system of equations are y = 35 - 2.2x and y = 1.7x

6 0
3 years ago
PLEASE HELP!
Airida [17]
7 dollars each game and I know that because 10 would be 60 plus 16 which is way over and 5 would be 25 plus 16 which is incorrect 6 would be 30 which adding 16 would be 46. FINALLY ADDING 5 extra which is 7 times which is 35 plus 16 is 51.
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4 0
2 years ago
5. Use the rules for long division to divide 262 by 9. A. 29r1 B. 28 C. 30 D. 29
vfiekz [6]
Since 270=262+8, and \dfrac{270}9=30, we have

\dfrac{270}9=\dfrac{262}9+\dfrac89
\implies30-\dfrac89=\dfrac{262}9
\implies29+\dfrac19=\dfrac{262}9

so the answer is A.

6 0
3 years ago
A toy company makes rectangular sandboxes that measure 6 feet by 5 feet by 1.2 feet. A customer buys a sandbox and 40 cubic feet
Iteru [2.4K]

Answer:

Customer has bought too much sand

Step-by-step explanation:

Given that the dimensions (Length, Width and Height) of rectangular box are = 6,5, 1.2.

Volume of a rectangular box = Length * Width * Height

=> 6*5*1.2

=> 36 cubic feet

As mentioned, customer bought a sand box and <u>40 cubic feet of sand.</u>

So,

Volume of rectangular box (R) = 36 cubic feet

Volume of Sand (S) = 40 cubic feet

From analysis

S > R

Which shows that the capacity of sandbox is 36 cubic feet and volume is 40 feet that is a little greater than desired capacity.

Therefore, customer has bought too much sand.

4 0
3 years ago
V2 + 2v + 1 is the product of which two binomials?
juin [17]
(V+1)2 is that right
6 0
3 years ago
Read 2 more answers
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