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DerKrebs [107]
3 years ago
5

Which function has a vertex at (2, –9)?

Mathematics
2 answers:
Reika [66]3 years ago
8 0

Answer:

It's the third option! Hope this helps! :D Have a good rest of your day!

Ivahew [28]3 years ago
3 0
The solutions or roots so-called are really just the x-intercepts, and for a quadratic equation, the vertex is found right half-way between those x-intercepts.

we can get the intercepts by zeroing out "y" or f(x), so let's take a peek at one of those,

\bf \stackrel{f(x)}{0}=(x-5)(x+1)
\\\\\\
0=x-5\implies \boxed{5=x}\qquad \qquad \qquad \qquad 0=x+1\implies \boxed{-1=x}

so, the x-intercepts or solutions are at 5 and -1, let's take a peek what's the halfway point.

-1----0----1----  2  ----3-----4------5

well then, now we know the vertex is at x = 2, but, what's the y-coordinate of it anyway?

y = (x - 5)(x + 1)

y = (2 - 5)(2 + 1)

y = (-3)(3)

y = -9
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What is the solution for the equation (x-5)^2+3(x-5)+9=0 Use u substitution and the quadratic formula to solve?
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3 years ago
What is 56.398 rounded to the nearest tenth
Ratling [72]

The decimal place to the right of the tenths place is the hundredths place. The digit in that place is 9.

When the digit to the right of the place you're rounding to is more than 4, you increase the digit in the rounding place by 1.

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Another way to get there is to add 5 in the hundredths place (the place to the right of the one you're rounding to). When you do that, you get 56.448. Now, throw away all the digits to the right of the one you're rounding to. This leaves

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The reason I show this last method is to deal with cases like rounding 56.978. By the first rule, you're increasing the digit 9 by 1, which might be confusing. (it requires a carry into the next digit, making 57.0.) If you add .05 to this number, you get 56.978 +.05 = 57.028. Now when you throw away the digits to the right of the tenths digit, you have 57.0.

4 0
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Hi! I just need someone to check if this is correct I also have to show the work so if you can that is much appreciated! The per
Anestetic [448]

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1 yd = 4s

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= (3 x 3 x 12 x 12) ÷ (4 x 4)

= 81 in²

7 0
3 years ago
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