The reflection across the x-axis only change the signal of the y coordinate. Hence, the new point is
.
Answer:
21.5secs
Step-by-step explanation:
Given the function that models the height of an object as
h(t) = -16t^2+ 344t
The object hit the ground at h(t) = 0
Substitute
0 = -16t^2+ 344t
16t^2 = 344t
16t = 344
t = 344/16
t = 21.5
Hence it takes 21.5secs for the object to hit the ground
Answer:
1/6
Step-by-step explanation:
Theoretical probability is 1/3.
Hence difference is:
1/2 - 1/3= 1/6
Answer:
The widgets should be sold for $26.7 for the company to make the maximum profit.
Step-by-step explanation:
Given the quadratic equation
As the leading coefficient is (-3), so the graph would be a downward Parabola.
Thus, the maximum profit would be at the vertex.
The selling price 'x' can be determined by determining the x-coordinate of the vertex.
In order to calculate the x-coordinate of the vertex, we can find this by
x = -b/2a
where a = -15 and b = 801
x = -801 / 2(-15)
x = -801/-30
x = 801/30
x = 267/10
x = 26.7
Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.
Answer:
14
Step-by-step explanation:
All of the angles are marked as congruent, which means it is an equlateral triangle. This means that all of the sides are congruent too.
Therefore z + 2 = 2z -10
add 10 to each side
z + 12 = 2z
subtract z from each side
12=z
now that we know that, we can plug it back in to either line (it doesn't matter because they're congruent)
line AB is z+2 which is 12+2 or 14
and line CB is 2z-10 which is 2(12)-10 or 24-10 which is also 14
so line CA is also 14 units long.