Answer:
S = 50w + 75
Step-by-step explanation:
After each week, Mike gains $50.
Letting w = 0 gives us the amount he started with. In this case, that would be $75.
Therefore, the equation is S = 50w + 75.
Yes, there was a mistake in applying the distributive property. If you have to perform

you have to multiply both terms in the parenthesis by 3, not just the first one.
So, the correct expansion would be

Answer:
x = - 8, x = 2
Step-by-step explanation:
Given
f(x) = x² + 6x - 16
To find the x- intercepts equate f(x) to zero, that is
x² + 6x - 16 = 0 ← in standard form
(x + 8)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 2 = 0 ⇒ x = 2
Brennan will have to take 8 more quizzes to get to 25
One leg is horizontal, on the line y=3. Another leg is vertical, on the line x=1. The point where these intersect, D(1, 3) is the vertex of a right angle. Any right triangle inscribed in a circle has its hypotenuse as the diameter of the circle.
Since the triangle is a right triangle, the circumcenter is the midpoint of the hypotenuse: ((8, 3) + (1, -5))/2 = (4.5, -1).