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netineya [11]
3 years ago
5

What is the value of h when the function is converted to vertex form?

Mathematics
2 answers:
Umnica [9.8K]3 years ago
7 0

Answer:

The value of h is 7.

Step-by-step explanation:

The given function is

p(x)=x^2-14x+29

where a=1,b=-14,c=29

The h-value of the vertex can be calculated with the formula;

h=-\frac{b}{2a}

We substitute the necessary values to obtain;

h=-\frac{-14}{2(1)}

Simplify to get;

h=7

elena-s [515]3 years ago
4 0

Answer: h=7

Step-by-step explanation:

By definition the function in vertex form is:

 f(x)=a(x-h)^{2}+k

Where (h,k) is the vertex of the parabola.

You must group the terms that contain the same variable in the function:

f(x)=(x^{2}-14x)+29

Complete the square as following:

f(x)=(x^{2}-14x+49)+29-49

Now you must rewrite it as following:

 f(x)=(x-7)^{2}-20

Then:

h=7

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21.03 + 80.4 - 21.03

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Can u please help me solve? I'm reviewing for finals.
Black_prince [1.1K]

Given:

Consider the given graph as a reference of the solution.

To find:

-3(u\cdot v)

Explanation:

By analyzing the graph, we can define the coordinate of vector u and v:

\[\begin{align} & \vec{u}=(-8,-9)-(0,0)=(-8,-9) \\  & \vec{v}=(3,7)-(0,0)=(3,7)\end{align}\]

Now, let perform the dot product of two vectors,

\begin{gathered} u\cdot v=(-8,-9)\cdot(3,7) \\ u\cdot v=(-8)(3)+(-9)(7) \\ u\cdot v=-24-63 \\ u\cdot v=-87 \end{gathered}

Now, perform the required operation,

\begin{gathered} -3(u\cdot v) \\ =-3(-87) \\ =261 \end{gathered}

Final answer:

Hence, the required solution is:

-3(u\cdot v)=261

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1 year ago
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x=46

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