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BaLLatris [955]
3 years ago
8

Divide x^4 + 7 by x - 3.

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0

Answer:

c

Step-by-step explanation:

Divide using synthetic division, remembering to place a zero to denote the terms x³, x² and x

Since division by (x - 3) then evaluate using h = 3

3 | 1  0  0  0  7

    ↓

    1    3  9  27 81

   ----------------------

    1  3  9  27  88 ← degree 3 polynomial

quotient = x³ + 3x² + 9x + 27 , remainder = 88 → c

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The flow rate for one pipe is 2 times that of another pipe. A swimming pool can be filled in 10 hours using both pipes. Find the
sweet [91]

Answer:

Pipe 1 twice as fast as pipe 2.

(Pipe 1 time * Pipe 2 time) / (Pipe 1 time + Pipe 2 time)  = combined time

(x * (x/2)) / (x + x/2) = 10

(x^2/2) / 1.5 x = 10

x^2 / 2 = 15 x

x^2 /2 - 15 x = 0

x = 30 (slow pipe)

x/2 = 15 (fast pipe)

So it would take 30 hours using the slow pipe only.

Step-by-step explanation:

4 0
3 years ago
You shuffle a standard 52 card deck of cards, so that any order of the cards is equally likely, than draw 4 cards. How many diff
galina1969 [7]

Answer:

270725 different ways

Step-by-step explanation:

The problem tells us that the order of the letters does not matter. Therefore, in the combination the order is NOT important and is signed as follows:

C (n, r) = n! / r! (n - r)!

We have to n = 52 and r = 4

C (52, 4) = 52! / 4! * (52-4)! = 52! / (4! * 48!) = 270725

Which means that there are 270725 different ways in total to make that raffle

7 0
4 years ago
Jake buys yards of cloth. He uses yard for a craft project. How much cloth, in yards, does Jake have left?
Valentin [98]

Answer:

i think Its 5/8

Step-by-step explanation:

this one is tricky for me at least

3 0
3 years ago
Given that triangle x y z is congruent to triangle n m l, the measure of angle x equals 20 degrees, the measure of angle m equal
Delvig [45]

A triangle has a total angle of 180 degrees. Since we know that angle X = angle N = 20 degrees and angle Y = angle M = 75 degrees, therefore angle Z or angle L is equal to:

angle L = 180 – 20 – 75

<span>angle L =  85 degrees</span>

 

Therefore w is:

angle L = 5 (w – 2)

5 (w – 2) = 85

w – 2 = 17

<span>w = 19</span>

7 0
4 years ago
Find the equation of the line that passes through (2,7) and (7,12)
algol13

Answer:

equation of the line that passes through (2,7) and (7,12) is y=x+5

8 0
3 years ago
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