Answer:
an=−4n+12
A sub n is equal to negative 4 n plus 12,
Step-by-step explanation:
Answer:
the x-intercepts are (5, 0) and (-3, 0).
Step-by-step explanation:
The standard equation of a vertical parabola with vertex at (h, k) is
y = a(x - h)^2 + k.
Here we are told that the vertex is at (1, -16), which means that h = 1 and y = -16. Thus, we have:
y = a(x - 1)^2 + (-16).
We are told also that the graph passes through (0, -15). Substituting -15 for y and 0 for x, we get:
-15 = a(0 - 1)^2 - 16, or
-15 = a - 16
Then a must be 1, and the equation of the parabola is
y = (x - 1)^2 - 16.
Now to find the x-intercepts: Set y = 0 and solve for x:
0 = (x - 1)^2 - 16, or
(x - 1)^2 = 16, or
x - 1 = ±√16 = ±4
Then x = 1 ± 4, or x = 5 or x = -3, so the x-intercepts are (5, 0) and (-3, 0).
40 garments need to be dry cleaned for the two companies to have the same cost.
<h3>
Linear equation</h3>
Linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let f(x) represent the cost for dry cleaning at Company 1. Hence using the points:
- (5, 115.25) and (15, 155.75)
Let g(x) represent the cost for dry cleaning at Company 2. Hence using the points:
- (5, 45.25) and (15, 105.75)
For the cost to be the same:
4.05x + 95= 6.05x + 15
x = 40
40 garments need to be dry cleaned for the two companies to have the same cost.
Find out more on Linear equation at: brainly.com/question/14323743
Answer:
77 feet
Step-by-step explanation:
Difference is asking for subtraction. The equation would look like:
Top of Hill - Valley = X
(P.S.- 2/3 is equal to . 67)
120.67 - 43.67 = 77
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