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garri49 [273]
2 years ago
7

HELP NEED ANSWERS ASAP!''!!!!!!!!!!!!!!!

Mathematics
1 answer:
timama [110]2 years ago
7 0

By using subtraction, Brenda needs an additional amount of $ 182.75 for the school trip.

<h3>How much money does Brenda need to save for her school trip?</h3>

In this question we notice that Brenda is aware of how much money she needs to make her school trip and besides we find a table with all the money saved during a 4-month period. Lastly, we must determine if the amount of money saved by Brenda is sufficient or not.

The money needed for the school trip is:

y = $ 197 + $ 230 + $ 85

y = $ 512

And the money saved by Brenda is:

x = $ 67 + $ 30.50 + $ 160 + $ 71.75

x = $ 329.25

Then, the additional money needed for Brenda is found by subtacting the second result from the first result:

z = y - x

z = $ 512 - $ 329.25

z = $ 182.75

Brenda needs an additional amount of $ 182.75 for the school trip.

To learn more on subtraction: brainly.com/question/1927340

#SPJ1

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Step-by-step explanation:

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3/4 hr = 3/4 * 60 = 45 minutes

so he reached at 6:15pm . so he will be on time.

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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:

\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right..

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.

h = -2.

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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