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3 years ago

The equation f(x) = 3x2 − 24x + 8 represents a parabola. What is the vertex of the parabola?

1 answer:

s2008m [1.1K]3 years ago

5 0

$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{-24}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{-24}{2(3)}~~,~~8-\cfrac{(-24)^2}{4(3)} \right)\implies (4~~,~~8-48)\implies (4~~,~-40)$

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Please can someone help. ill give brainliest

vodka [1.7K]

Step-by-step explanation:

upper left angle and lower right are the same in a parallelogram (the other two angles match as well, but aren't useful)

so we can write this equation:

3x -15 = 2x +24

1x -15 = 24

x = 39

always do the same thing on both sides of an equation (here: subtract 2x, then add 15)

now you might give it a try yourself with the next problem that got two same things in it.

always grow stronger :)

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2 years ago

The area of a rectangle is 30+12x what are 3 possibilities for the length and width of the rectangle

Stolb23 [73]

In order to find the three possibilities, you must first think of common factors between 30 and 12:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 12: 1, 2, 3, 4, 6, 12

We can find three common factors between the two numbers: 2, 3, and 6. So these are three widths that we can use. The length can be found by factoring out the numbers from 30+12x (we can't factor out x):

30+12x=2(15+6x) Width: 2 Length: 15+6x

20+12x=3(10+4x) Width: 3 Length: 10+4x

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3 years ago

I'll mark the best or the first as brainliest.

FinnZ [79.3K]

Answer:

Here the error is 

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It should have been ,

 $2\pi {r}^{2}$ 

Step-by-step explanation:

Corrected formula:

 $2\pi {r}^{2} + 2\pi rh$ 

 $= 2\pi ({5}^{2}) + 2\pi(5)(10.6)$ 

 $= 50\pi + 106\pi$ 

 $= 156\pi$ 

 $= 489.84 {yd}^{2}$ 

 $approx . \: 489.8 {yd}^{2} (ans)$ 

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2 years ago

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erma4kov [3.2K]

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2 years ago