Question a:
f(6) = (6)² + 2(6) + 8
f(6) = 36 + 12 + 8
f(6) = 56
Question b:
f(x+4) = (x+4)² + 2(x+4) + 8
f(x+4) = x² + 8x + 16 + 2x + 8 + 8
f(x+4) = x² + 10x + 32
Question c:
f(-x) = (-x)² + 2(-x) + 8
f(-x) = x - 2x + 8
Answer:
Given statement: Ivan and Tanya share £150 in the ratio 4:1
let the number be x.
Then, the share of Ivan be 4x and the share of Tanya be x.
From the given scenario,
the equation that would best represent the given will be;
Combine like terms;

Divide both sides by 5 we get;

Simplify:
x =£30
Then,
the share of Ivan is, 4x = 
and the share of Tanya is, x =£30
Therefore, £90 more Ivan gets compared to Tanya.
The answer for the function F(4) = 5/81
<u>Step-by-step explanation</u>:
The given function is F(x) = 5 * (1/3) ^ x
<u>step 1</u> :
The x value is given as the input to get the output from F(x)
<u>step 2</u> :
Here, F(4) means that the x value is x=4
<u>step 3</u> :
Now, substitute x=4 in the given function F(x)
F(4) = 5 (1/3)^4
=5 (1/81)
F(4) = 5/81
Answer:
Psy talented it to cartwheels
Step-by-step explanation: