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:
8(5*3)+(2*5)+(2*10)=360
Step-by-step explanation:
8(15)+(10)+(20)=
8(45)=
Answer: this is our required factor i.e.

Explanation:
Since we have given that

As we know the identity , which says that

So, we can use this here ,

Hence this is our required factor i.e.

For this problem, we just have to use the values we're given to calculate the approximate value of pi.
The formula presented is

When you have a negative exponent, we can use the following property

Using this property, our problem turns out to be

Now, we just need to plug the given values on this equation

The approximated value for pi is 3.142.