To find out if there is point where the graphs intersect simply plug in one equation for another,
y = 4x + 3
Y = -x^2 - 1.
4x + 3 = -x^2 - 1
Then solve
4x + 3 = -x^2 - 1
X^2 + 4x + 3 = -1
X^2 + 4x + 4 = 0.
(X+2)(x+2) = 0.
There is one solution X = -2. To solve for the y coordinate plug X = -2 to any of the above equations, easier for the first one.
Y = 4x + 3
Y = 4(-2) + 3
Y = -8 + 3
Y = -5.
Point - P(-2,-5). Plug these points in both original equations and if in each the left side is equal to the right, then that is the point of intersection. Basically the graph intersects once.
Evelyn has initially $524.96, then she paid $32.50, so she will have less than $500. In order to have at least $500, she needs to deposit the value x.
So the initial value, minus the value paid, plus the deposit needs to be greater than or equal 500, so we have the inequality:
Solving this inequality for x, we have:
Therefore the correct option is the first one (a).
Answer:
1 solution. y= 5/4x - 1/2
The appropriate exponential function for the first question is
... A: f(n) = 10 × 1.2^n
To find the revenue from sales of that many glasses, we multiply by the sale price to get
... B: 0.5(10 × 1.2^n)
