F(x) = x/2
g(x) = x - 3
f(8) = 8/2 = 4
g(f(x)) = 4 - 3 = 1
Answer g(f(8)) = 1
Answer:
Well the slope seems rather easy to calculate because you already typed it and it is 2.
First we must solve this equation:
b = y - m*x and we input values into the equation:
b = (3) - (2 * -1)
b = 5
Then, we enter the value of "b" and the slope into this equation:
y = mx +b
y = 2x + 5
Source: https://www.1728.org/distance.htm
(Scroll to the bottom of the page.)
Step-by-step explanation:
Answer:
16.07 milligrams
Step-by-step explanation:
From the question,
Using the formula of radioactive decay,
R/R' = 2ᵃ/ᵇ..................... Equation 1
Where R = Original mass of the polonium-210, R' = Final mass of polonium-210 after decaying, a = Total disintegration time, b = half life of polonium-210.
Make R' the subject of the equation
R' = R/(2ᵃ/ᵇ)................ Equation 2
Given: R = 100 milligrams, a = 1 years = 365 days, b = 138.39 days
Substitute these values into equation 2
R' = 100/(2³⁶⁵⁰⁰/¹³⁸³⁹)
R' = 100/(6.222)
R' = 16.07 milligrams of plonium-210
The student should deposit atleast 3,500 to get the job done. But she can deposit a lower amount.
Answer:
2/5
Step-by-step explanation:
From the two points we have marked, they are clearly 10 units apart from -5 to 5, and the change in the y-axis is 4. So the change between the two points is 4/10 (rise over run).
4/10 simplifies to 2/5.