A function assigns the values. The function for this model can be written as y=-4x+50.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
As it can be seen from the graph that the function is linear, therefore, we can write,
y = mx + c
Given two points of the graph, therefore, we can write for the first point,
30 = m(5) + c
30 = 5m + c
c = 30 - 5m
Also, for the second point,
y = mx + c
26 = 6m + c
Substitute the value of c,
26 - 6m = 30 - 5m
-6m + 5m = 30 - 26
-m = 4
m = -4
Now, substitute the value of m in any one of the equation formed above,
c = 30 - 5m
c = 30 - 5(-4)
c = 50
Hence, the function for this model can be written as y=-4x+50.
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Well, since it says it's congruent, it's congruent. EF overbar congruent to GH overbar.
H(t) = −16t^2 + 75t + 25
g(t) = 5 + 5.2t
A)
At 2, h(t) = 111, g(t) = 15.4
At 3, h(t) = 106, g(t) = 20.6
At 4, h(t) = 69, g(t) = 25.8
At 5, h(t) = 0, g(t) = 31
The heights of both functions would have been the closest value to each other after 4 seconds, but before 5 seconds. This is when g(x) is near 30 (26-31), and the only interval that h(t) could be near 30 is between 4 and 5 seconds (as it is decreasing from 69-0).
B) The solution to the two functions is between 4 and 5 seconds, as that is when their height is the same for both g(t) and h(t). Actually the height is at 4.63 seconds, their heights are both
What this actually means is that this time and height is when the balls could collide; or they would have hit each other, given the same 3-dimensional (z-axis) coordinate in reality.
Answer: a) 1 / ⁴⁰C₅ b) 0.33
Step-by-step explanation:
a) The sample space consists of all numbers 1-40.
Since any of the number can be taken from the sample space so each of five 5 distinct numbers we take has equal probability of occurring. So probability of each 5 numbers set we take will be equal to 1 / ⁴⁰C₅
b)
If we pick exactly 3 even number then that means other 2 will be odd.
So, we have sample space of 40 numbers out of which 20 are even and 20 are odd.
Now we have to pick 3 even out of 20 and 2 odd out of 20.
Probability = ²⁰C₃ * ²⁰C₂ / ⁴⁰C₅
Probability= 0.33
Answer:
50 over 1 (4n - 1) = 5050
I hope I helped you^_^
