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xenn [34]
3 years ago
5

How to find the vertex of a function

Mathematics
1 answer:
belka [17]3 years ago
4 0

Step-by-step explanation:

1.Get the equation in the form y = ax2 + bx + c.

2.Calculate -b / 2a. This is the x-coordinate of the vertex.

3.To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.

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A company manufactures and sells video games. A survey of video game stores indicated that at a price of $66 each, the demand wo
AysviL [449]

Answer:

y=-30x+2380

Step-by-step explanation:

x\rightarrow represent price per video game.

y\rightarrow represent demand.

The linear equation in slope intercept form can be represented as:

y=mx+b

where m is slope of line or rate of change of demand of game per dollar change in price and b is the y-intercept or initial price of game.

We can construct two points using the data given.

When price was $66 each demand was 400. (66,400)

When price was $36 each demand was 1300. (36,1300)

Using the points we can find slope m of line.

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{1300-400}{36-66)}

m=\frac{900}{-30}

m=-30

Using point slope form of linear equation to write the equation using a given point.

y-y_1=m(x-x_1)

Using point (66,400).

y-400=-30(x-66)

⇒ y-400=-30x+1980    [Using distribution]

Adding 400 to both sides:

⇒ y-400+400=-30x+1980+400

⇒y=-30x+2380

The linear relationship between price and demand can be written as:

y=-30x+2380

4 0
3 years ago
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