Answer:
To figure out the common denominator for these fractions, I'll first need to factor that quadratic in the denominator on the right-hand side of the rational equation. This will also allow me to find the disallowed values for this equation. Factoring gives me:
x2 – 6x + 8 = (x – 4)(x – 2)
The factors of the quadratic on the right-hand side "just so happen" to be duplicates of the other denominators. This often happens in these exercises. (So often, in fact, that if you get completely different factors, you should probably go back and check your work.)
Step-by-step explanation:
Answer: y=-1/5x+4
Step-by-step explanation: use the equation y=mx+b (x,y)->(5,3) 5 is an x value and 3 is a y value so you want to plug in these values into the equation. 3=-1/5(5)+b. We already know our slope so just plug it into m. Now multiply -1/5 and 5 which is -1. 3=-1+b you want to isolate b so you can find the intercept. Add one to both sides so it cancels out. 4=b we found our y-intercept so we can write the equation now. y=-1/5x+4
Answer:
x ≥12
Step-by-step explanation:
-3x ≤ -36
Divide each side by -3, remembering to flip the inequality
-3x/-3 ≥ -36/-3
x ≥12
Answer:
The given description is equivalent to the algebraic expression,

Step-by-step explanation:
The given description is ,
'The square of the ratio of 11 and k'
which is equivalent to the algebraic expression,

Answer:
m= 450 - (5*n)
Step-by-step explanation:
m is the money left
n is the days