(A) First, write an equation you can use to answer this question. Use x as your variable.
The equation is
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job.
Answer: The number of labor hours was __________________.
Equation: 53x + 460 = 1096
Solution 1096 - 460 = 53x
636/53=x
12=x
12 hours
If you are asking for how fast the candle will brunt out, it is:
6inches / 0.5inches per hour = 12 hours
One rose is $2. The amount of money you have is $90
Answer:
q=35
Step-by-step explanation:
x2 - 12x + q = 0
Let the two roots be r and r+2.
Factor the quadratic expression:
(x - r)[x - (r + 2)] = 0
Expand, simplify, group like terms, and get
x2 - 2(r + 1)x + r(r + 2) = 0
Compare to
x2 - 12x + q = 0
and set equal the coefficients of like terms:
Coefficient of x:
-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5
(Then the other root is r + 2 = 5 + 2 = 7)
Constant term:
r(r + 2) = q ⇒ 5(5 + 2) = q
q = 35
Test the solution:
(x - 5)(x - 7) = x2 - 12x + 35
With two roots differing by 2, you get an equation of the form
x2 - 12x + q = 0
with q = 35.
Answer: The correct answers are
If F represents the population of Florida recorded by the 2000 census, 1/5 F represents the population of Oklahoma.
If K represents the population of Oklahoma recorded by the 2000 census, 5K represents the population of Florida.
Step-by-step explanation: I took the test!