F(x) = x^2 - 18x + 86
Find the vertex (show steps)

(9, 5)

Step-by-step explanation:

First, we can use the axis of symmetry formula to find the x value of the vertex.

This formula is: -b/2a

Plug in the b and a values:

-b/2a

-(-18) / 2(1)

18/2

= 9

Then, plug in 9 as x into the equation, and solve for y:

f(x) = x² - 18x + 86

f(9) = 9² - 18(9) + 86

f(9) = 81 - 162 + 86

f(9) = 5

y = 5

So, the vertex is at (9, 5)

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

14

step-by-step explanation:

14 x 3 = 42