Answer:
f(3π/4) = -π
A = π
b = 2
Step-by-step explanation:
Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π
Given the general equation: f(x) = A sin(bx), its period is calculated as:
period = 2π/b
which is equal to π, then:
2π/b = π
b = 2
Replacing x = π/4 into the equation of the function, we get:
A sin(2(π/4)) = π
A sin(π/2) = π
A = π
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = 1/2x + b
5 = 1/2(-2) + b
5 = -1 + b
6 = b
This is all if you don't solve as a quadratic equation.
Look at the other answer.
Answer:
<em><u>x = 9.75</u></em>
Step-by-step explanation:
Step 1. Distribute the 2(Do 2 times 2x and 2 tiems 5)
4x + 10 = 49
Step 2. Subtract 10 from both sides.
4x = 39
Step 3. Divide it all by 4 to isolate the variable.
x = 9.75