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vlada-n [284]
3 years ago
7

What is the value of h(−2) when h(x)=3x+1?

Mathematics
2 answers:
Svetlanka [38]3 years ago
6 0
The answer is -5 hope it helps
natali 33 [55]3 years ago
4 0

Answer:

-5

Step-by-step explanation:

The answer is -5 because we have -2 as x. The function is h(x)=3x+1. 3 times -2=-6. When we add 1 to the result, we have -5 as the answer. Hope it helps!

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3 years ago
Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)?
kramer

Answer:

y = 1/12 (x − 5)²

Step-by-step explanation:

We can solve this graphically without doing calculations.

The y component of the focus is y = 3.  Since this is above the directrix, we know this is an upward facing parabola, so it must have a positive coefficient.  That narrows the possible answers to A and C.

The x component of the focus is x = 5.  Since this is above the vertex, we know the x component of the vertex is also x = 5.

So the answer is A. y = 1/12 (x−5)².

But let's say this wasn't a multiple choice question and we needed to do calculations.  The equation of a parabola is:

y = 1/(4p) (x − h)² + k

where (h, k) is the vertex and p is the distance from the vertex to the focus.

The vertex is halfway between the focus and the directrix.  So p is half the difference of the y components:

p = (3 − (-3)) / 2

p = 3

k, the y component of the vertex, is the average:

k = (3 + (-3)) / 2

k = 0

And h, the x component of the vertex, is the same as the focus:

h = 5

So:

y = 1/(4×3) (x − 5)² + 0

y = 1/12 (x − 5)²

3 0
2 years ago
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Mashcka [7]

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3 years ago
Solve the equation 4 x minus 7 space equals space 45 for x.
zimovet [89]

Answer:

x = 13

Step-by-step explanation:

For this problem, we will simply uses properties of addition and multiplication to isolate the x variable for the following equation.

4x - 7 = 45

Now consider the following. First, we must isolate the x term by adding 7 to both sides.

4x - 7 = 45

4x -7 +7 = 45 +7

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Second, let's further isolate x by multiplying both sides by 1/4 to create a coefficient of 1 Infront of the x variable.

4x = 52

(1/4) * 4x = 52 * (1/4)

x = 13

Hence, we have solved the equation 4x-7=45 where x=13.

Cheers.

4 0
2 years ago
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