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Vedmedyk [2.9K]
3 years ago
14

Can someone answer this question as a proper number with all the calculations (5)20*(4)13

Mathematics
1 answer:
Slav-nsk [51]3 years ago
8 0

Hello! So our final answer is 5,200.. Let me show you how I got it!

It's actually quite simple. I broke it into smaller equations..

Step One: 5 * 20 = 100

Step Two: 4 * 13 = 52

Step Three: We multiply our two answers --> 100 * 52 = 5,200


Hope this helped! Let me know if you have any further questions.

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Kay walks upstairs to make her legs stronger. Every day at work, she walks up 9 flights of stairs. If there are 13 steps in 1 fl
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Answer:

585

Step-by-step explanation:

9 * 13 * 5 = 585

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Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15
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Answer:

The vertex of this parabola, (-2, 3), can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

g(x) = a\, (x - h)^2 + k,

where a, h, and k are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at (h,\, k).

The vertex form can be expanded to obtain:

\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}.

Compare that expression with the given equation of this parabola. The constant term, the coefficient for x, and the coefficient for x^2 should all match accordingly. That is:

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The first equation implies that a is equal to 3. Hence, replace the "a\!" in the second equation with 3\! to eliminate \! a:

(-2\times 3)\, h = 12.

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Similarly, replace the "a" and the "h" in the third equation with 3 and (-2), respectively:

3 \times (-2)^2 + k = 15.

k = 3.

Therefore, g(x) = 3\, x^2 + 12\, x + 15 would be equivalent to g(x) = 3\, (x - (-2))^2 + 3. The vertex of this parabola would thus be:

\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}.

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