Answer:
<em>Solution; - 4 / t + 1</em>
Step-by-step explanation:
See procedure below;
( 12 - 4t ) / ( t^2 - 2t - 3 ) ⇒ Factor out common term - 4 in 12 - 4t,
- 4 * ( t - 3 ) / ( t^2 - 2t - 3 ) ⇒ Break bottom expression into groups,
- 4 * ( t - 3 ) / ( t^2 + t ) + ( - 3t - 3 ) ⇒ Factor out t from t^2 + t,
- 4 * ( t - 3 ) / t * ( t + 1 ) + ( - 3t - 3 ) ⇒ Factor out - 3 from - 3t - 3,
- 4 * ( t - 3 ) / t * ( t + 1 ) + ( - 3 * ( t + 1 ) ) ⇒ Factor out common term t + 1,
- 4 * ( t - 3 ) / ( t + 1 ) * ( t - 3 ) ⇒ Cancel out like term t - 3,
<em>Solution; - 4 / t + 1</em>
<span>Subtract 7 from both sides of the equation. Check: Substitute -4 for x in the original equation. If, after the substitution, the left side equals the right side, your answer is correct. ( -4 ) + 7 = 3 </span>
Y-5 = 6x-24 ad 5 to both sides to get y alone
y=6x-19 the slope of the line is 6 and the y-intercept is -19 or (0,-19)
m = 6 or 6/1
ANSWER
D) 10
EXPLANATION
We want to solve the radical equation,

Square both sides,

Expand brackets on right hand side,

Rewrite in general quadratic equation form,

Factor to obtain,

Apply the zero product principle to get,

We put n=2 into the equation to get,


This statement is false, hence 2 is an extraneous solution
We put n=10, to get



This is true, hence the only solution is
Answer:
9
Step-by-step explanation: