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2 years ago

12

A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What perc

entage of their total budget did they spend on props?

1 answer:

Katarina [22]2 years ago

5 0

To find percentage: divide the given value by the total and multiply by 100

546/1300 x 100 = 42%

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Find the vertex: -4x² + 16x - 7

guapka [62]

Find the vertex: -4x^2 + 16x - 7

Vertex = ( x, f(x)).

x = -b/2a

x = -16/2(-4)

x = -16/-8

x = 2

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Let x = 2

f(2) = -4(2)^2 + 16(2) - 7

f(2) = -4(4) + 32 - 7

f(2) = -16 + 32 - 7

f(2) = 16 - 7

f(2) = 9

Vertex = (2, 9)

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4 years ago

We either walk 5 miles/day or ride a bike 10 miles/day. How many days will it take to cover a distance of at least 150 miles?

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Answer:

30 for walking, 15 for biking

Step-by-step explanation:

150 divided by 5

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3 years ago

Is 5.3 repeating rational

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4 years ago

Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s

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Answer:

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$f(x)=a((x-h)^2+k)$ (1)

where:

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$ak$ is the y-coordinate of the vertex of the parabola

$a$ is a scale factor

For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:

$h=4$ (2)

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From this last equation, we get that $a=\frac{-3}{k}$ (3)

Substituting (2) and (3) into (1) we get the new expression:

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We also know that the parabola contains the point (2,-1), so we can substitute

x = 2

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$-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6$

So we also get:

$a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}$

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Now we want to rewrite it in the standard form, i.e. in the form

$f(x)=ax^2+bx+c$

To do that, we simply rewrite (5) expliciting the various terms, we find:

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Brainliest??

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