Acompany makes and sells headphones. the
function r= - 5x² +65x + 700 gives the amount
of money the company expects to make when the
price of the headphones is x dollars. when this
function is graphed, the vertex is 6.5, 911.25).
what does the x-value 6.5 represent?

At 6.5 dollars price of each headphone the revenue will be maximum which is $911.25.

Step-by-step explanation:

A company makes and sells headphones. The function R= - 5x² +65x + 700 gives the amount of money the company expects to make when the price of the headphones is x dollars.

Now, we can convert the parabolic function of revenue R(x), to vertex form.

So, R = - 5x² + 65x + 700

⇒ R = -5(x² - 13x + 6.5²) + 700 + 5 × 6.5²

⇒ R = - 5(x - 6.5)² + 911.25

⇒ 5(x - 6.5)² = - (R - 911.25)

⇒ (x - 6.5)² = - 0.2 (R - 911.25)

Therefore, the parabola has vertex at (6.5,911.25) and its axis is parallel to negative y-axis.

Hence, the function has maxima at point (6.5,911.25) point.

And hence the x-value represents at x = 6.5 dollars price of each headphone the revenue will be maximum which is $911.25. (Answer)

his chances of getting a coin of higher value is 4/19

step-by-step explanation:

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi