Answer:
day 0, day 120
Step-by-step explanation:
You want to find the value of x that makes both y-values be the same:
y = y
30x +10 = -x^2 +150x +10
x^2-120x = 0 . . . . subtract the right side of the equation
x(x -120) = 0 . . . . . factor
Values of x that make this true are x=0 and x=120.
The same number of each car was sold on day 0 and day 120.
Answer:
Step-by-step explanation:
To find the inverse of a function you take it in y=f(x) form, switch x and y and then solve for the new y.
So I'll do the first one.
f(x) = 8x-10
y=8x-10 Now switch x and y
x = 8y-10 Now solve for y.
x+10=8y
(x+10)/8 = y
g(x) is not that, so it is not the inverse. Can you figure out the second one?
Answer:
a) 675 000
b) 685 000
Step-by-step explanation:
The population of a town is 680 000 correct to the nearest 10 000.
a) To find it lower bound, we level of accuracy by 2 and then subtract from 680 000
The lower bound is:
680 000-5000=675,000
Therefore the least possible population of the town is 675 000
b) We repeat the same process to find the upper bound
680 000+5000=685,000
Answer:
x = 3.8
Step-by-step explanation:
The equation is (5 - x) / 2 = 2x - 7
Multiply both sides by 2:
5 - x = 4x - 14
Add 14 to both sides:
19 - x = 4x
Add x to both sides:
19 = 5x
Divide both sides by 5 to isolate x:
3.8 = x
Therefore, x = 3.8.
