Answer:
D. The x value of 4 is paired with different y values
Step-by-step explanation:
x values cannot repeat.
Just sub in (x+1) wherever x appears:
f(x) = 2x+4
f(x+1) = 2(x+1)+4 = 2x + 2 + 4 = 2x+6
Are you sure you wrote the question right?
Answer:
k = 1
P(t) = (t + 20)²
Step-by-step explanation:
P' = k√P = k P⁰•⁵
To solve for k,
P' = 10 rabbits/month
P = 100 rabbits
10 = k √100
10 = 10k
k = 1
To solve for P(t)
P' = dP/dt
(dP/dt) = kP⁰•⁵
dP/P⁰•⁵ = k dt
P⁻⁰•⁵ dP = k dt
∫ P⁻⁰•⁵ dP = ∫ k dt
2P⁰•⁵ = kt + c
At t = 0, P = 100
2(100)⁰•⁵ = 0 + c
2 × 10 = c
c = 20
2P⁰•⁵ = kt + c
2P⁰•⁵ = kt + 20
Recall, k = 1
2P⁰•⁵ = t + 20
P⁰•⁵ = (t + 20)
P(t) = (t + 20)²
<u>Answer</u>
4.71 cm²
<u>Explanation</u>
Area of a circle = πr²
Where r is the radius of the circle.
For a sector which is part of a circle, its area is given by;
Area of a sector = (Ф/360)πr²
where Ф is the angle making the sector at the center of the circle.
∴ Area of a sector = (Ф/360)πr²
= 60/360 × π × 3²
= 1/6 × π × 9
= 4.71 cm²