Answer:
x ≥ 7
Step-by-step explanation:
|x - 7| = x - 7
A. For each absolute, find the intervals
x - 7 ≥ 0 x - 7 < 0
x ≥ 7 x < 7
If x ≥ 7, |x - 7| = x - 7 > 0.
If x < 7, |x - 7| = x - 7 < 0. No solution.
B. Solve for x < 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
-x + 14 = x
14 = 2x
x = 7
7 ≮7. No solution
C. Solve for x ≥ 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
True for all x.
D. Merge overlapping intervals
No solution or x ≥ 7
⇒ x ≥ 7
The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.
Answer:
6.2813
Step-by-step explanation:
If you minus 27.31 of 23%. 23% would have to be changed into a decimal or whole number.
After that, you would want to check your answer on a calculator, which I usually do.
Answer:
-0.0526
Step-by-step explanation:
Let X be the random variable denoting the net gain(in dollars) for a single trial(one bet).
Assuming that each number in the wheel is equally likely, probability of the outcome being a victory is 
and probability of failure is 
. For a win, X takes value 35 and for a loss X takes value -1. So the model is,
The mean for one bet is 
Answer:
the answer the B
Step-by-step explanation:
In order to find the value of x, you have to cross multiply both equations. 4x-10 is basically 4 times something subtract 10. Same thing as well for 3x-2. Now it says to find the value of x. X has to also be the same answer for both equation as well. By the way x doesn't have a given number so there is no specific answer.
