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nasty-shy [4]
2 years ago
9

-3 + 10y – 8y + 4 – 6 + y simplify

Mathematics
2 answers:
Darya [45]2 years ago
7 0

Answer:

3y - 5

Step-by-step explanation:

We combine like terms. The y terms are 10y, -8y and y which combine to 3y. Think of it like having 10 items, take away 8 items but then add on 1 more. So we'd have 10-8+1 = 2+1 = 3 items overall. Replace "Items" with y and we have 10y-8y+1y = (10-8+1)y = 3y

The other terms are constant terms as they dont have any variables attached to them. These terms are -3, 4 and -6 which combine to -3+4-6 = 1-6 = -5

In summary, the y terms combine to 3y while the constant terms combine to -5. Put together, the fully simplified answer is 3y-5

Harman [31]2 years ago
3 0
The answer is 3y-5.hope this helps

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Answer:

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Step-by-step explanation:

<u>Given quadratic functions</u>:

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To find the time, in seconds, that the balloons collided at the highest point, <u>substitute</u> one equation into the other equation and rearrange to <u>equal zero</u>:

\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}

<u>Factor</u> the quadratic:

\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}

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\implies (x-1)=0 \implies x=1

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Therefore, the balloons collided at 1 second and 2 seconds.  

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Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

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Answer:

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