Which polynomial represents the sum below?

1 answer:

5 0

=3x^6 +4x+3+3x^8+6x
Combine like terms
=3x^8+3x^6+(4x+6x)+3
=3x^8+3x^6+10x+3

C) 3x^8+3x^6+10x+3 is the answer.

Hope this helps! :)

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Phythagoras was born about 582bc.issac Newton was born in 1643 ad .how many years apart were they born

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2,225 (?) i’m assuming bc the b.c dates decrease instead of increase like they do now so i just added 1643 + 582

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A walkway is being installed around a rectangular playground. The playground is 30 feet by 12 feet, and the total area of the pl

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Answer:

10.3

Step-by-step explanation:

From these question, we can illustrate the playground has a small rectangle with 30x12ft

the walkway is around it with an area of 1288ft²

the playground area = 30 x 12 = 360ft²

the length dimension of the walkway is 30+y+y( these is because the walkway is round the playground in two sides) = 30 +2y

the breadth dimension of the walkway is 12+y+y ( these is because the walkway is round the playground in two sides) = 12+2y

Area of walkway = (30+2y)(12+2y)= 30(12+2y)+2y(12+2y) = 360+60y+24y+4y²= 360+84y+4y²

The total area = 1288ft²

The total area = area of walkway - area of playground

1288ft² = 360+84y+4y² - 360

choose like terms

1288 = 360-360+84y+4y²

1288 = 84y+4y²

divide by 4

322= 21y+y²

y²+21y-322 =0

using quadratic formula

x= (-b±√b²-4ac)/2a = {-21±√21²-4(1)(-322)}/2x1 = {-21±√441+1288}/2x1 = -21±√1729/2

-21+√1729/2 -21-√1729/2

√1729 = 41.5812457726

-21+√1729/2 -21-√1729/2

{-21+41.5812457726}/2 {-21-41.5812457726}/2

20.5812457726/2 -62.5812457726/2

10.2906228863 -31.2906228863

we disregard the negative sign

our width is 10.2906228863 ≅10.3

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One canned juice drink is 25% orange juice; another is 10% orange juice. How many liters of each should be mixed together in ord

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Let's say we use "x" of the 25% OJ... ok... well, how much juice is really in that "x" liters? well, 25% of it is OJ, the rest is water, how much is 25% of x? well, (25/100) * x, or 0.25x.

likewise, we'll use "y" of the 10% OJ, and it will end up with (10/100) *y or 0.10y of juice in it.

whatever "x" and "y" are, they must add up to 15 Liters, and the juice concentration on that mixture, must also be the sum of their sum concentration.

$\bf \begin{array}{lccclll}
&\stackrel{liters}{amount}&\stackrel{juice~\%}{quantity}&\stackrel{juice}{quantity}\\
&------&------&------\\
\textit{25\% juice}&x&0.25&0.25x\\
\textit{10\% juice}&y&0.10&0.10y\\
------&------&------&------\\
mixture&15&0.17&2.55
\end{array}
\\\\\\
\begin{cases}
x+y=15\implies \boxed{y}=15-x\\
0.25x+0.10y=2.55\\
----------\\
0.25x+0.10\left(\boxed{15-x} \right)=2.55
\end{cases}
\\\\\\
0.25x-0.10x+1.5=2.55\implies 0.15x=1.05\implies x=\cfrac{1.05}{0.15}
\\\\\\
x=7$

how much will be it of the 10% juice? well, y = 15 - x.

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