Answer:
f'(x)=-(x+42)/5
Step-by-step explanation:
Rewrite f(x) as y:
y=-5x-42
Flip x and y and solve for y:
x=-5y-42
x+42=-5y
(x+42)/-5=y
So the inverse function is f'(x)=-(x+42)/5 (note that f' means inverse)
Answer:
I say that d) is linear because I found the common difference of +2 in the y which makes the line of a graph straight.
And c) is non linear because there is no sequence so if you create a line out of this table, the line of a graph will not be straight.
Answer: Arc GH is 95°
Step-by-step explanation: A complete circle is 360°. Add the other arcs given, then subtract that sum from 360.
100+70+95 = 265.
360-265=95
Step-by-step explanation:
Use Pythagorean theorem here. To find the height, find the difference of the 2 y's. To find the length, find the difference between the 2 x's.
Length = x2 - x1
Height = y2 - y1
√length^2 + height^2 = distance
√5^2 + 5^2 = √50 = 7.07
Answer:
1. 10^(38)
2. total amount = 10^11 or total amount = $100000000000
Step-by-step explanation:
For every time that we multiply powers with the same base we maintain the base and sum the powers. Therefore we have:
1. (10^32)*(10^6)
10^(32 + 6)
10^(38)
2. If each of the 10^6 programmers make 10^5 then the total money they make together is the product of the number of programs with the sallary each makes. We have:
total = (10^6)*(10^5)
total = 10^(6 + 5)
total = 10^11
total = $100000000000