Answer:
<h3>
f(x) = -2
(x - 3)² + 6</h3>
Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
f(x) = a(x - h)² + k
so the equation of parabola with the vertex (3, 6) is
f(x) = a(x - 3)² + 6
passes through the point (4, 4) means: if x=4 then f(x)=4
4 = a(4 - 3)² + 6
4 -6 = a(1)² + 6 -6
-2 = a
Therefore the equation of parabla is:
<u> f(x) = -2
(x - 3)² + 6 </u>
Answer:
y=2 (correct if wrong)
Step-by-step explanation:
-18y + 7 = -29
-7 -7
-18y = -36
-18/-18 -36/-18
Answer:
Suppose that the equations are:
The number of people increases exponentially as the temperature increases, so we can write this as a simple exponential relation.
N(T) = a0*r^(T)
Also, the number of people that leaves the park as the temperature increases are:
M(T) = a*T + b
So the combination of these equations can say the number of people that are arriving to the park minus the number of people that are leaving, this would be:
N(T) - M(T) = total change in the park population as the temperature changes = C(T)
C(T) = a0*r^(T) - a*T - b
Answer:
A
Step-by-step explanation:
The constant rate of change in this question simply means the slope
To get the slope, we simply get two points and apply the slope equation;
The points are;
(3,60) and (6,30)
The slope equation is;
m = (y2-y1)/(x2-x1) = (30-60)/(6-3) = -30/3 = -10 ft/s
So our answer is the first option as it represents a decent of -10 ft/s
Answer:
6.48/12=B
Step-by-step explanation:
B=6.48
6.48/12=0.54
Each Gatorade bottle costs 54 cents.
