<h3>
Answer:</h3>
x = 1
<h3>
Step-by-step explanation:</h3>
<em>The only solution is an extraneous solution</em>, which is to say the equation has no solution.
The rational expression reduces to -1 (for x≠1), which makes the equation ...
1 = 1/x
The only solution to this is x=1, which is specifically disallowed.
___
If you subtract the right side, the equation becomes ...
((-x+1)(x) +2(x)(x -1) -(x -1))/(x -1) = 0
(-x^2 +x +2x^2 -2x -x +1)/(x -1) = 0 . . . . eliminate parentheses in the numerator
(x^2 -2x +1)/(x -1) = 0 . . . . . . . . . . . . . . . collect terms
(x -1)^2/(x -1) = 0 . . . . . . . . . . . . . . . . . . . factor
This is undefined for the only value of x that could possibly be a solution, x=1.
Answer:
44.8 mph
Step-by-step explanation:
Betsy drove from london to wolverhampton.it took her 2.5 hours at an average speed of 56 miles per hour.Mac drove the same journy by motor bike.It took him 2 hours.Assuming that both took the same route,work out Mac's average speed in mph.
The above question is solved using Proportion method
2.5 hours = 56 mph
2 hours = x mph
Cross Multiply
2.5 hours × x mph = 2 hours × 56 mph
x mph = 2 hours × 56 mph/2.5 hours
x mph = 44.8 mph
Therefore, Mac's average speed = 44.8 mph
29.) This is simply interpreting the linear function.
The function:
96+2.1x
a.) The 96 is what you start with from the beginning. So, we know Rachel weighed 96 ounces when she was born.
b.) Again, interpretation. The 2.1 is the slope, or the change in the line. So we know that Rachel gains 2.1 ounces each day.
30.) For this one, you just have to plug 9 into the equation for x.
Answer:
n > -2 or n < -3
Step-by-step explanation:
|2n+5| > 1
We have two solutions one positive and one negative. Remember to flip the inequality symbol for the negative
2n+5 > 1 or 2n+5 < -1
Subtract 5 from each side
2n+5-5 > 1-5 2n+5 -5 < -1 -5
2n >-4 2n < -6
Divide by 2
2n/2 > -4/2 2n/2 < -6/2
n > -2 or n < -3
