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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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Which of the following is not represented by the image below
love history [14]

Answer:

Line BD can't be represent by the image.

Explanation:

Point: Point is a dot or vertex of any figure or diagram. It represent by capital alphabet. So, B would be a point.

Line: A line is a straight path with both endless. It means we can extends line from both end. But in case of BD we can't extend from point B. So, it won't be line.

Ray: A ray is straight path with one endless. It means we can't extend line from one end and extend from another end. But we can extend AC from both end. It won't be a ray.

Line Segment: A line segement is straight path with end from both end. We can't extend from either end of the line. We can say CD would be line segment.

Option 2 is correct.



6 0
3 years ago
Juan and his father went on a driving trip.
Jet001 [13]

Answer:

162

Step-by-step explanation:

260/2=130

130+32=162

8 0
3 years ago
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What is the value of x in the figure? (Figure included.)
kotykmax [81]
See those lines that are pependicular
meanins that those lines are same legnth
in triangle, if 2 sides are same measure legnth then the angles oposite those sides are same measure

therefor top right and top left angle is 42

remember that vertical angles are congruent

remmeber all angles ad to 180 in a triangle

so therefor look at top triangle
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7 0
4 years ago
Consider the sequence 10, 2..
romanna [79]

Answer:  see below

<u>Step-by-step explanation:</u>

1) 10, 2, 1.2, 1.12, 1.112, 1.1112

t_n=\dfrac{t_{n-1}}{10}+1

t₁ = 10

t₂ = 10/10 + 1    = 2

t₃ = 2/10 + 1     = 1.2

t₄ = 1.2/10 + 1   = 1.12

t₅ = 1.12/10 + 1  = 1.112

t₆ = 1.112/10 + 1 = 1.1112

2)  10, 2, -2, -4, -5, -5.5, ...

t_n=\dfrac{t_{n-1}}{2}-3

t₁ = 10

t₂ = 10/2 - 3 =   2

t₃ = 2/2 - 3  =  -2

t₄ = -2/2 - 3 =  -4

t₅ = -4/2 - 3 =  -5

t₆ = -5/2 - 3 = -5.5

8 0
4 years ago
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Answer:

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Step-by-step explanation:

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