Question

Evaluate the expression using the values given. 4y(y + x); use x= 3/2, and y = -5/4

Answer 1

Answer:

-5/4 or -1 1/4

Step-by-step explanation:

Okay! We'll take this problem one part at a time so that the process is less confusing and less difficult. Here's what our expression looks like when we replace x with 3/2 and y with -5/4:

$4(-\frac{5}{4} )(\frac{3}{2} +-\frac{5}{4} )$

Looks a little scary! We can start by working within the parentheses and adding the two fractions together. First, we have to make each fraction have the same denominator, so we can multiply each fraction by 3/2 to get both our fractions a denominator of 4.

$\frac{3}{2} *\frac{2}{2} =\frac{6}{4}$

$\frac{6}{4} + -\frac{5}{4} =\frac{1}{4}$

Now, our expression is a little easier to work with. It looks like this now:

$4(-\frac{5}{4} )(\frac{1}{4})$

First, let's multiply 4 by -5/4. Then, we'll take that product and multiply it by 1/4 to get our final answer.

$\frac{4}{1} * -\frac{5}{4} =-\frac{20}{4} =-5$

Alright, this is our simplest expression yet. What's -5 times 1/4?

$-\frac{5}{1} * \frac{1}{4} =-\frac{5}{4}=-1\frac{1}{4}$

So our answer is -5/4, or -1 1/4. Hopefully that's helpful! :)