Question

1. what is the slope - intercept form of $6x - 2y - 4 = 0$?

a. $y = 6x - 2$
b. $y = 3x + 2$
c. $y = 3x - 2$
d. $y = - 3x + 2$
e. $y = - 6x - 4$

1. which of the following is a solution to the equation $x^{2}+25x = 0$?

a. 50
b. 25
c. 5
d. - 5
e. - 25

1. the length $l$, in meters, of a spring is given by the equation $l = (\frac{2}{3})f + 0.05$, where $f$ is the applied force in newtons. approximately what force, in newtons, must be applied for the springs length to be 0.23 meters?

a. 0.12
b. 0.18
c. 0.20
d. 0.24
e. 0.27

Explanation:

Step1: Solve the equation \(x^{2}+25x = 0\)

Factor out \(x\): \(x(x + 25)=0\)

Step2: Find the solutions

Set each factor equal to zero:

• \(x=0\)
• \(x+25 = 0\Rightarrow x=-25\)

Answer:

E. \(-25\)