Given
To solve for w, the objective is to leave the w-term on one side of the equal sign and all other terms on the other side.
First, apply the exponent -1 to both sides of the expression to invert both terms:
Second, multiply both sides by 15y
Third, add 18v to both sides of the equal sign
Finally, divide both sides by 9 and simplify
The expression written for w is
Answer:
It will take the first person 12 days and the second person x+12 or 20 days
Step-by-step explanation:
The equation for time to do a job is
1/A + 1/B = 1/C
where A is the time for person A to do the job alone
B is the time for person B to do the job alone
and C is the time for A and B to do the job together
Person A does it in x days and Person B does it in x+8 days and together they do it in 7.5 days
Substituting in
1/ (x) + 1/ (x+8) = 1/ 7.5
Multiply by (x)(x+8)(7.5) to clear the fractions
(x)(x+8)(7.5)(1/ (x) + 1/ (x+8)) = (1/ 7.5)(x)(x+8)(7.5)
Distribute
(x)(x+8)(7.5)(1/ (x)) +(x)(x+8)(7.5)( 1/ (x+8)) = (1/ 7.5)(x)(x+8)(7.5)
Cancel
(x+8)(7.5) + 7.5x = (x)(x+8)
Distribute
7.5x +60 +7.5x = x^2 +8x
Combine like terms
15x +60 = x^2 +8x
Subtract 15x from each side
15x-15x +60 = x^2 +8x-15x
60 = x^2 -7x
Subtract 60 from each side
60-60 = x^2 -7x - 60
0 = x^2 -7x - 60
Factor
0 = (x-12) *(x+5)
Using the zero product property
x-12=0 x+5=0
x=12 x=-5
Since the number of days cannot be zero
It will take the first person 12 days and the second person x+12 or 20 days
Domain: (-∞, 2) ∪ (2, ∞)
Range: (-∞, -3) ∪ (-3, ∞)
For inverse, solve for y.
inverse:
Hope this helps!
Find the median of the following data:<br>
10,16, 15, 14, 8, 21, 10, 5, 19, 18, 4, 5, 16, 12, 10,9
fgiga [73]
Answer:
The median is 11.
Step-by-step explanation:
First arrange the data in ascending order:
4, 5, 5, 8, 9 , 10, 10, 10, 12, 14, 15, 16, 16, 18, 19, 21
There are 16 numbers so the median is the mean of the middle 2 numbers in the list. That is the mean of the 8th and ninth number.
Median = 10 + 12 / 2
= 11.