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guapka [62]
3 years ago
14

Given the quadratic function : f(x)=x^24x-12 Find the vertex. Can you show the steps?!?

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0
\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
\begin{array}{llcccl}
\stackrel{f(x)}{y} = & 1x^2& +4x& -12\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\qquad 
\left(-\cfrac{ b}{2 a}\quad ,\quad   c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left(-\cfrac{4}{2(1)}~~,~~-12-\cfrac{4^2}{4(1)}  \right)\implies (-2~~,~~-12-4)\implies (-2~~,~~-16)
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I need to solve for X btw they are same side interior ( supplementary angles )​
Sidana [21]

Answer:

x = 17.2

Step-by-step explanation:

since they are supplementary, when you add then together they equal 180

4x + 8 + 6x = 180

Combine like terms

10x + 8 = 180

subtract 8 from both sides

10x = 172

divide each side by 10

x = 17.2

hope this helps :)

7 0
3 years ago
Which is longer 3200 hours or 19 weeks
Katarina [22]
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3 0
3 years ago
Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.
miss Akunina [59]
\sqrt{x} * 4\sqrt{x} \\4\sqrt{x * x} \\4\sqrt{x^{2}} \\4x
3 0
3 years ago
What is 5/2 divided by 2/5
Len [333]

Answer: 6 and 1/4

Step-by-step explanation: To solve this problem, we first leave 5/2 alone so don't do anything to it.

For our second fraction, we want to switch the numerator and the

denominator which means find the reciprocal of it.

The reciprocal of 2/5 is just the opposite of it when

you flip it and it's going to be 5/2.

Because we did the opposite there, we need to do the opposite

of division and the opposite of division is multiplication.

So now we have 5/2 × 5/2 which is 25/4 or 6 and 1/4.

6 0
3 years ago
2x+5y=20. , -2x+20y=-90. one solution. infinity many ir no solution. use elimination to find your answer​
scoundrel [369]
2x+5y=20
X=10-2.5y

-2(10-2.5y)+20y=-90
-20+5y+20y=-90
25y=-70
Y=2.8

2(2.8)+5y=20

5.6+5y=20
5y=14.4
Y=2.88

CHECK:
2(2.8)+5(2.88)=20

5 0
4 years ago
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