Answer:
-53/12
Step-by-step explanation:
Answer:
translation 3 units right and 4 units down (7, -6)
reflect over x-axis (7, 6)
Step-by-step explanation:
The point is (4, -2), you translate the domain (4) 3 to the right which makes the domain 7, then translate 4 units down to get the range. The range is now -6 because -2 -4= - 6. To reflect over the x- axis, count upward from the point until you get to the 7, 0, and then count 6 more upward to get (7, 6) the point after it was reflected over the x-axis
Laura DATA:
Time = x hr/job ; Rate = 1/x job/hr
Jeri DATA
Time = x+2 hr/job ; Rate = 1/(x+2) job/hr
Tammy DATA:
Time = (x+2)/2 hr/job ; Rate = 2/(x+2) job/hr.
Together DATA:
time = 4/3 hr/job ; Rate = 3/4 job/hr
EQUATION:
rate + rate + rate = together rate
1/x + 1/(x+2) + 2/(x+2) = 3/4
Multiply thru by 4x(x+2) to get:
4(x+2) + 4x + 8x = 3x(x+2)
16x + 8 = 3x^2+6x
3x^2-10x-8 = 0
3x^2-12x+2x-8 = 0
3x(x-4)+2(x-4) = 0
(x-4)(3x+2) = 0
Positive answer:
x = 4 hrs. time for Laura to do the job
x+2=6 hrs. time for Jeri to do the job
(x+2)/2 = 3 hrs. time for Tammy to do the job
30% of the payment you get every week and 2.0%