What is the vertex of the quadratic function f(x) = (x-6)(x + 2)?

(2,-16)

Step-by-step explanation:

One way to find the vertex is as follows:

First, we see that the x-intercepts are 6 and -2.

(to see this, we use the fact that the x-intercepts are found by letting y i.e. f(x) = 0. Then we solve each of the factors equal to 0. so i.e.

x-6 = 0

x = 6.

Similarly, x+2 = 0, so x= -2).

Now that we know the x-intercepts, we can use the symmetry property of a quadratic to see the x-coordinate of the vertex occurs mid-way between -2 and 6. So i.e at (6+-2)/2 = 2.

Lastly, we put x = 2 into the equation to find the y-coordinate:

f(2) = (2-6)(2+2) = -4 x 4 = -16.

So the vertex is (2,-16)

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.