The number of shoppers per day would be 192 and the number of shoppers per hour would be 24. hope this helps
Answer:
1920 cubes.
Step-by-step explanation
Turn both the mix numbers into improper fractions.
2 2/5 = 12/5
3 1/5 = 16/5
Then you will turn 1/5 into its reciprocal and multiply both the improper fractions by it. You can just casually multiply 2 and 5.
12/5 * 5/1 = 12
16/5 * 5/1 = 16
2 * 5 = 10
Next you multiply all together to get 1920 cubes.
(I could be missing a step. I apologize if I did.)
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
Answer:
Step-by-step explanation:
I attached a graph.
Hope that helps!
Answer:
on example 1, both are right triangles.
