Q:

Multiple questions PLS HELP1) Find all real zeros of the function y = -5x - 7 a. -5 b. -5, -7 c. 7/5 d. - 7/52) Find all real zeros of the function y = -7x + 3 a. -7, 3 b. 3/7 c. -7 d. -3/73) Find all real zeros of the function 7= - 7x+ 8 a. 8/7 b. -7, 8 c. -8/7 d. -74) Find all real zeros of the function y= 3x + 1 a. 1/3 b. - 1/3 c. 3, 1 d. 3

Accepted Solution

A:
The real zeros of a function are when the function touches or crosses the x-axis. In terms of the following linear functions, the real zeros will be the value of x when y = 0. So we simply set each equation equal to zero and solve for the x-values.

1.) y = -5x - 7
0 = -5x - 7
5x = -7
x = -7/5

The real zero is at point (-7/5, 0) and is therefore option d) -7/5.

2.) y = -7x + 3
0 = -7x + 3
7x = 3
x = 3/7

The real zero is at point (3/7, 0) and is option b.) 3/7.

3.) y = -7x + 8
0 = -7x + 8
7x = 8
x = 8/7

The real zero is at point (8/7, 0) and is option a.) 8/7.

4.) y = 3x + 1
0 = 3x + 1
-3x = 1
x = -1/3

The real zero is at point (-1/3, 0) and is option b.) -1/3.