The +k part of the function takes the original function and translates it straight up k units. It's as simple as that. If your function is the line f(x) = 3x, then the function f(x) = 3x + 4 moves that first function up 4 units.
I will show you the steps on how you get that answer and if you have any questions after that let me know and I'd be more than happy to help answer them for you.
The first step for solving (1 + y)² is to use the equation (a + b)² = a² + 2ab + b² to expand the expression.
1² + 2 × 1y + y²
1 raised to any power equals 1,, so remove the power.
1 + 2 × 1y + y²
Calculate the product of 2 × 1y.
1 + 2y + y²
Finally,, use the commutative property to reorder the terms.
y² + 2y + 1
Let me know if you have any further questions.
:)
Answer:
When x = 3, the solutions to the expressions are–20 and –20
Step-by-step explanation:
–4(3) – 8 Multiply
-12 - 8 Subtract
-20
-2(3 + 1) - 2(3 + 3) Simplify in the parentheses
-2(4) - 2(6) Multiply
-8 - 12 Subtract
-20
Answer:
Step-by-step explanation:
This answer is easily found using the Pythagorean Theorem:
where A and B are the legs, and C is the hypotenuse of the triangle.
