Part A: the radicand is the same as the discriminant, therefore is b2 - 4ac
In 9x^2 - 16x + 60 = 0, a = 9, b = -16, c = 60
so b2 - 4ac =
Part B: Solve 4x^2 + 8x - 5 = 0
What would make 8? (5×2)-2 = 8, so:
(2x+5)(2x-1) = 0
2x+5 = 0
2x = -5
x = -5/2
2x-1 = 0
2x = 1
x = +1/2
So the solutions are: -5/2, +1/2
Answer:
4
Step-by-step explanation:
f⁻¹(x) = x²+3, but none of that matters, since f(f⁻¹(x)) = x
Answer:
The slope is 
. The slope means that the amount of money in the account is decreasing at a rate of $
every week.
Step-by-step explanation:
Given coordinates are 
We need to find the slope of the graph, and explain what does slope means for this graph.
The formula for computing slope 
is
Where 
and 
are the point on the line.
Let us plug points in the equation
Here, the negative sign of slope represents that the value of the function (budget) is decreasing, with an increase in time (week).
The slope is . The slope means that the amount of money in the account is decreasing at a rate of $ every week.
Answer:
a² + 4ab + 4b²
Step-by-step explanation:
Given
(a + 2b)²
= (a + 2b)(a + 2b)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a + 2b) + 2b(a + 2b) ← distribute both parenthesis
= a² + 2ab + 2ab + 4b² ← collect like terms
= a² + 4ab + 4b²
