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olga2289 [7]
3 years ago
14

Write as a polynomial: 2a^2(a-1)(3-a)

Mathematics
1 answer:
seropon [69]3 years ago
6 0

Answer:

-2a^4+8a^3-6a^2

Step-by-step explanation:

2a^2(a-1)(3-a)

2a^2(-a^2 +3a-3+a)

2a^2(-a^2+4a-3)

-2a^4+8a^3-6a^2

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A motorboat takes 3 hours to travel 108 km going upstream. The return trip takes 2 hours going downstream. What is the rate of t
PtichkaEL [24]
Recall your d = rt, distance = rate * time.

let's say the boat has a still water rate of "b", and the current has a a rate of "c", ok.... when the boat is going upstream, is not really going "b" fast, is going  slower at "b - c", due to the current going in the opposite direction.

when the boat is coming downstream, is not going "b" fast either, is going faster, is going "b + c", due to the current adding speed to it.

we know the trip up was 108 kms, thus the return trip is also 108 kms.

\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
Upstream&108&b-c&3\\
Downstream&108&b+c&2
\end{array}
\\\\\\
\begin{cases}
108=3(b-c)\implies \cfrac{108}{3}=b-c\implies 36+c=\boxed{b}\\\\
108=2(b+c)\\
--------------------\\
108=2\left(\boxed{36+c} +c \right)
\end{cases}
\\\\\\
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and surely you know how much that is.

what's the boat's speed? well, 36 + c = b.
8 0
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A pitcher contains 34 a gallon of juice. A glass can hold 1/8 a gallon. How many glasses can the pitcher fill?
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A rectangle has one side that measures 3x + 1 and another that measures 4y + 3. Keith says that the perimeter of the rectangle i
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Answer:

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