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IgorLugansk [536]
3 years ago
6

What is 4,173 in exponential form

Mathematics
1 answer:
Ket [755]3 years ago
7 0

Step-by-step explanation:

\underline{\begin{array}{c|c|c|c}4&1&7&3\end{array}}\\\begin{array}{c|c|c|c}4&0&0&0\\&1&0&0\\&&7&0\\&&&3\end{array}

4,173 = 4,000 + 100 + 70 + 3\\\\=4\times1,000+1\times100+7\times10+3\times1\\\\=4\times10^3+1\times10^2+7\times10^1+3\times10^0

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Answer:

2.0 seconds

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}

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\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}

Apply the <u>zero-product property</u> to solve for x:

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

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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:

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