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
Answer:
11/3 = 3 2/3 ≈ 3.66667
Step-by-step explanation:
The external angle is half the difference of the intercepted arcs:
3x = (1/2)((9x +25) -36)
6x = 9x -11
11 = 3x . . . . . . . add 11-6x
11/3 = x
_____
The attached figure is drawn to scale.
Answer:
Step-by-step explanation:
A root is a value for which a given function equals zero. When that function is plotted on a graph, the roots are points where the function crosses the x-axis. For a function, f(x) , the roots are the values of x for which f(x)=0 f ( x ) = 0 .
Answer:
$23.18
Step-by-step explanation:
