To make punch for the class party, Mrs. Lui mixed 1\frac{1}{3}1 3
1

cups orange juice, \frac{3}{4}
4
3

cup apple juice, \frac{2}{3}
3
2

cup cranberry juice, and \frac{3}{4}
4
3

cup lemon-lime soda. Mixed together, how many cups of punch does the recipe make?

so, converting firstly the mixed fractions to improper fractions and then "adding".

2,160 π

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct