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r-ruslan [8.4K]
3 years ago
10

F(x)=x^2. What is g(x)

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
4 0

Answer:

g(x) = \frac14x^2

Step-by-step explanation:

Since f(x) and g(x) share the same top at (0,0), their difference is only a scale factor, so g(x) = ax² but we need to find a.

To find it, we use the given point of g, (2,1)

So g(2) = 1

meaning that

a·2² = 1

4a = 1

a = 1/4

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The numbers 0,1/2, -53 and 0.433 all belong to which category ?
kirill [66]
0, 1/2, -53, and 0.433 all belong in rational category
3 0
4 years ago
The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by P(c)=-15c(c-
Paul [167]

Answer:

240

Step-by-step explanation:

The circuit's power is modeled by a quadratic function, whose graph is a parabola.

The maximum power is reached at the vertex.

So in order to find the maximum power, we need to find the vertex's y-coordinate.

We will start by finding the vertex's x-coordinate, and then plug that into P(c).

The vertex's x-coordinate is the average of the two zeros, so let's find those first.

-15c(c-8)=0, so either -15c or c-8 equals 0, so c=0 or c=8.

Now let's take the zeros' average:

(0+8)/2=4.

The vertex's x-coordinate of this parabola is 4. Now let's find P(4).

P(4)=-15(4)(4-8)

240.

The maximum power of this circuit is 240 watts.

PLEASE MARK BRAINLIEST AND VERTIFIED ANSWER!! I spent a lot of time on this... :P thank you!!

7 0
3 years ago
Write the ratio as a fraction in simplest form which whole numbers in the numerator and denominator 4 to 36
den301095 [7]

Answer:

1:9

Step-by-step explanation:

4:36

4 divided by what can be divisible by 36 too?

4 itself can.

4 divided by 4 is 1 and 36 divided by 4 is 9

1:9

8 0
3 years ago
What is the probability of spinning a yellow?
Scilla [17]
There are 8 triangles in this circle

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So I think the answer should be 45%
6 0
3 years ago
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Georgia [21]
The answer is C because c=4h. Think of it like this, Chickens equal the number of horses times 4.
4 0
3 years ago
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