Answer:
D is the correct answer
Step-by-step explanation:
Fifth row of Pascal pyramid is 1 , 5, 10, 10, 5 , 1
The expansion should always have n + 1 number of terms
Where n is the power
Step-by-step explanation:
let age of samantha be 3x and age of jason be x.(since samantha is three times as old as jason)
Now,
3x+x=56 (sum of their ages is 56)
or 4x=56
or x=56/4
or x=14
therefore age of samantha=3x=3×14=42
age of jason = x = 14
Hello from MrBillDoesMath!
Answer:
The first choice, y = x^3 + 5
Discussion:
Let
y = (x-5) ^ (1/3)
To find the inverse, sway x and y and then solve for y:
x = ( y - 5 )^(1/3) => cube both sides
x^3 = y - 5 => add 5 to both sides
x^3 + 5 = y
So the inverse is x^3 + 5, which is the first choice
Thank you,
MrB
Example 1
Write y = x2 + 4x + 1 using function notation and evaluate the function at x = 3.
Solution
Given, y = x2 + 4x + 1
By applying function notation, we get
f(x) = x2 + 4x + 1
Evaluation:
Substitute x with 3
f (3) = 32 + 4 × 3 + 1 = 9 + 12 + 1 = 22
Example 2
Evaluate the function f(x) = 3(2x+1) when x = 4.
Solution
Plug x = 4 in the function f(x).
f (4) = 3[2(4) + 1]
f (4) = 3[8 + 1]
f (4) = 3 x 9
f (4) = 27
Example 3
Write the function y = 2x2 + 4x – 3 in function notation and find f (2a + 3).
Solution
y = 2x2 + 4x – 3 ⟹ f (x) = 2x2 + 4x – 3
Substitute x with (2a + 3).
f (2a + 3) = 2(2a + 3)2 + 4(2a + 3) – 3
= 2(4a2 + 12a + 9) + 8a + 12 – 3
= 8a2 + 24a + 18 + 8a + 12 – 3
= 8a2 + 32a + 27
