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Alinara [238K]
3 years ago
12

What are the steps to convert a quadratic function in standard form to vertex form

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0
The preferred method is to complete the square. Please see the detailed screenshot attached.

Alternately, you can calculate the value for the vertex as such using this formula for the ordered pair: ( \frac{-b}{2a}, f(\frac{-b}{2a})). Then, you can plug this point in for (h, k).

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S varies inversely as G. If S is 4 when G is 1.8, find S when G is 6.
Reika [66]

Given that "S" varies inversely as "G", it is an Inverse Variation Relationship. Then, it has this form:

S=\frac{k}{G}

Where "k" is the Constant of Variation.

Knowing that:

S=4

When:

G=1.8

You can substitute values and solve for "k":

\begin{gathered} 4=\frac{k}{1.8} \\  \\ (4)(1.8)=k \\  \\ k=7.2 \end{gathered}

Then, the equation that models the situation is:

S=\frac{7.2}{G}

Substituting this value of "G" into the equation and evaluating:

G=6

You get:

S=\frac{7.2}{6}=1.2

Hence, the answer is:

S=1.2

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1 year ago
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Rudik [331]
7 boxes because 294 divided by 43
8 0
4 years ago
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What's the radius of a circle with an area of 64 square feet?
NeX [460]
R ≈ 4.51 ft The Area is 64 feet the power of 2.  Hope this helps! :)
5 0
3 years ago
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Si el radio de un circulo es de 3 pulgadas. cual es el area del circulo?<br>​
nata0808 [166]

Answer:

I don’t know

Step-by-step explanation:

4 0
3 years ago
Write a function rule for the statement.
ladessa [460]
<span><u><em>The correct answers are: </em></u>
1) f(x)=1/2x;
2) f(x)=2x+1;
3) f(x)=x^3;
4) f(x)=6x.

<u><em>Explanation</em></u><span><u><em>: </em></u>
Let x be the input. In function notation, the output is denoted by f(x).

For #1, since the output is half of the input, we want to take half of x; this would give us
f (x)=</span></span>\frac{1}{2}<span><span>x.

For #2, twice the input is 2x; one more than this is 2x+1, which gives us
f (x)=2x+1.

For #3, the cube of the input is x</span></span>³<span><span>, which gives us
f (x)=x</span></span>³<span><span>.

For #4, six times the input is 6x, which gives us
f (x)=6x.</span></span>
3 0
3 years ago
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