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natima [27]
3 years ago
6

Divide the following polynomial 27x^2-9a/3

Mathematics
2 answers:
ryzh [129]3 years ago
6 0
<span>(27x^2-9a)/3
= 9x^2 - 3a

hope it helps</span>
fgiga [73]3 years ago
6 0
1. (6x^3+11x^2-4x-4)/(3x-2)= (2x^2 +5x +2)
2. (y^3-4y^2+7y-6)/(y-2)= (y^2 -2y +3)
3. (x^2-4)/(x-1)= (x +1) remainder: ( -3)
4. (x^3+y^3)/(x-y)= (x^2 +xy +y^2) remainder: (2y^3)
5. (x^5+y^5)/(x+y)= (x^4 -x^3y +x^2y^2 -xy^3 +y^4)
6. (16x^2-25)/(4x+5)= (4x -5)
7. (6x^2+11x-35)/(3x-5)= (2x +7)
8. (27x^5+9x^4-18x^3)/(9x^2)= (3x^3 +x^2 -2x)
11. (2a^2+a+3)/(a-1)= (2a +3) remainder: (6)

hope this helps
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A bucket that weighs 4lband a rope of negligible weight are used todraw water from a well that is 80ftdeep. The bucket is filled
liq [111]

Answer:

Workdone = 3200 lb.ft

Step-by-step explanation:

We are told that the bucket is filled with 40 lb of water but water leaks out of a hole in the bucket at a rate of 0.2lb/s

Thus,

Weight of water at any given time (t) would be;

w(t) = 40 - 0.2t - - - - (1)

We are told the bucket is pulled up at a rate of 2ft/s.

Thus, height at time (t); y = 0 + 2t = 2t

Since y = 2t,

Then,t = y/2

Put y/2 for t in eq 1

Thus; w(y) = 40 - 0.2(y/2)

w(y) = 40 - 0.1y

Now, at y = 80 ft, we have;

w(80) = 40 - 0.1(80)

w(80) = 40 - 8 = 32 lb

Since 32 lbs are left, it means there is always water in the bucket.

Thus, work done is;

W = 80,0[∫(Total weight).dy]

W = 80,0[∫[(weight of rope) + (weight of bucket) + (weight of water)]dy]

W = 80,0[∫[0 + 4 + 40 - 0.1y]dy]

Integrating, we have;

W = [44y - y²/20] at boundary of 80 and 0

So,

W = [44(80) - 80²/20] - [0 - 0²/20]

W = 3200 lb.ft

8 0
3 years ago
The cost of oranges in a grocery store is directly proportional to the number of oranges purchased. Jerri payed $2.52 for 6 oran
ExtremeBDS [4]

Answer: option A is the correct answer.

Step-by-step explanation:

The cost of oranges in a grocery store is directly proportional to the number of oranges purchased. Jerri paid $2.52 for 6 oranges.

If p represents the cost, in dollars,and n represents the number of oranges purchased, then introducing a proportionality constant, k, the equation becomes

p = kn

2.52 = k × 6

k = 2.52/6 = 0.42

Therefore, the equation representing the relationship is

p = 0.42n

4 0
3 years ago
Which should Aaron use to convert a fraction to a decimal?
trasher [3.6K]
Aaron should use d..............o
4 0
3 years ago
Read 2 more answers
Jonathan saved money to have a party if he spends to eight of his money on food 1/5 of his money on prices and two tenths of his
erik [133]

Answer:

7/20 is left

Step-by-step explanation:

2/8 (reduced is 1/4) for food

1/5 for prizes

2/10 (reduced is 1/5) for decorations

? for what's left

Add all the fractions up by finding a common denominator.

1/4 + 1/5 + 1/5

5/20 + 4/20 +4/20 = 13/20

He spent 13/20 of his money on this stuff. What part of that is left?

1 - 13/20 (AKA 20/20 - 13/20)

= 7/20

8 0
3 years ago
I need help with these 2 problems I cant figure out.
Alla [95]

I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.

2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)

Next, I add 20 on both sides.

2x + 90 + 3x = 200º

I combine like terms (2x and 3x)

5x + 90 = 200º

I subtract 90 from both sides.

5x = 110º

Divide 110 by 5 to get x.

x = 22

======

For problem two, I label all the angles I know.

49º + 80º + r = 180º

I add 80 and 49.

129º + r = 180º

I subtract 180 and 129 and get 51º, which is your angle for R.

For angle X, you know that angle R plus angle X equals half of a circle, which is 180º

We know from before that 129º is 180º without R, so X is 129º

I hope this helps! Let me know if I'm wrong!

5 0
3 years ago
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