Matthew solved the quadratic equation shown

4x2-24x + 7 = 3

One of the steps that Matthew used to solve the equation is shown

Step: 4 (2 - A)^2= B

Solution: x =C+/-D

square root of E

Fill in the blanks from the choices below. you may use a number more than once:

2,3,5,6,24,32,36, 148, 154

A should be...

B should be...

C should be...

D should be...

and E should be...

i. A = 6

ii. B = 32 + 32 = 64

iii. C = 3

iv. D = 36 ÷ (6 + 5 + 2) = 2.8

v. E = (148 × 2) + (36 × 6) = 512

Step-by-step explanation:

From the given quadratic expression;

            -24x +7 = 3

            -24x +7 - 3 = 0

            -24x + 4 = 0

Applying the quadratic formula,

 x = (-b ± ) ÷ 2a

We have; a = 4, b = -24 and c = 4.

So that,

 x   = (- (-24)  ± ) ÷ 2(4)

      = (24 ± ) ÷8

     = (24  ± ) ÷8

    = (24 ± 22.63) ÷8

x   = (24 + 22.63) ÷8  or (24 - 22.63) ÷8

    =      or  

x    = 5.8 or 0.2

Therefore, x = 5.8 or x = 0.2.

From these steps and solution, A = 6, B = 64, C = 3, D = 2.8 and E = 512.

answer:      

step-by-step explanation:

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