Question

I will give BRAINLIEST PLS HELP y = x + 1/2 and z = 2x - 3, which of the following is equivalent to y + yz? PLS HELP

Answer 1

Answer:

y+yz is: $2x^2-2x-1$

Step-by-step explanation:

Given expressions are:

$y = x+\frac{1}{2}\\z = 2x-3$

The given expressions are polynomials and we have to find the value of y+yz

First of all, we will find the product of y and z

We will use the distribution to find the product.

$yz = (x+\frac{1}{2})(2x-3)\\= x(2x-3)+\frac{1}{2}(2x-3)\\= 2x^2-3x+x-\frac{3}{2}\\=2x^2-2x- \frac{3}{2}$

The next step is to add y and yz

$y+yz = (x+\frac{1}{2})+(2x^2-3x-\frac{3}{2})\\Combining\ like\ terms\\= 2x^2+x-3x+\frac{1}{2} -\frac{3}{2}\\=2x^2-2x + \frac{1-3}{2}\\=2x^2-2x+\frac{-2}{2}\\=2x^2-2x-1$

The answer is not one of the options which i assume might be a typing mistake.

Hence,

y+yz is: $2x^2-2x-1$