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lubasha [3.4K]
3 years ago
10

What is the vertex of f(x)=5^2+20-16

Mathematics
1 answer:
zepelin [54]3 years ago
4 0
The given equation is f(x) = 29. The graph is a horizontal line, which has no vertex. Perhaps you intend
.. f(x) = 5x^2 +20x -16
.. = 5(x^2 +4x +4) -16 -20
.. = 5(x +2)^2 -36

The vertex is (-2, -36)

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A walking path across a park is represented by the equation Y equals negative 2X -7. A new path will be built perpendicular to t
Ulleksa [173]

So we are given an initial equation of: y=2x-7.

We are told that a new path is going to be perpendicular to this line. So to find a slope that is perpendicular to a line, we take the slope of the known line (in this case 2) and we flip it and change the sign. So since this slope is essentially \frac{2}{1}, we are going to flip it to make it \frac{1}{2} and change the sign to make it -\frac{1}{2}.

So now we know that the slope of the perpendicular line is -\frac{1}{2}, we can start a new equation for this line:

y=-\frac{1}{2}x+b

We are also told that the path will intersect at (-2,-3) - this is a solution to the two lines. So to find b in this new equation, let's plug in the x and y values found in the point:

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b=-4

So then we plug in our value for b and leave x and y:

y=-\frac{1}{2}x-4

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3 0
3 years ago
Chelsey wants to join a fitness club. The fitness club charges an initial membership fee of $55 and a monthly fee of 19.50. she
Naddik [55]

Answer:

Chelsey can be a member of the fitness club for <u>10</u> months.

Step-by-step explanation:

Given:

Chelsey wants to join a fitness club.

The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50.

She has $250 to spend on a membership at the fitness club.

Now, to find the number of months Chelsey can be a member of the fitness club.

Let the number of months Chelsey can be a member of the fitness club be x.

Monthly fee = $19.50.

Membership fee = $55.

Now, to get the number of months Chelsey can be a member of the fitness club we write and solve an equation:

55+19.50(x)=250.

55+19.50\times x=250\\\\55+19.50x=250

<em>Subtracting both sides by 55 we get:</em>

19.50x=195

<em>Dividing both sides by 19.50 we get:</em>

x=10.

Therefore, Chelsey can be a member of the fitness club for 10 months.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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