Write 6(x – 5)4 + 4(x – 5)2 + 6 = 0 in the form of a quadratic by using substitution. a. 6u2 + 4u + 6 = 0, where u = x – 5 b. 6u2 + 4u + 6 = 0, where u = (x – 5)2 c. 6u4 + 4u + 6 = 0, where u = x – 5 d. 6u4 + 4u + 6 = 0, where u = (x – 5)2

We are given the equation:

..........(1)

Now we have to write it in quadratic form using substitution.

The general form of quadratic equation is given by:

So let us say

.......(2)

Plugging the value of (x-5)² from equation (2) in (1),

Answer : Option B.

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