Using a linear function, it is found that the rate of change in this problem situation is of -2 contestants per week.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the situation described, the number of participants after n weeks is given by:
N(n) = 20 - 2n.
The slope is of -2, hence the rate of change in this problem situation is of -2 contestants per week.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
Step-by-step explanation:
the answer is D.
Answer:
t₁ = 2,75 sec
Step-by-step explanation:
The ball will get h maximum when dh/dt ( its vertical component of the speed is equal to 0. At this moment the ball has flown half of the total flight time
Then
h(t) = - 4t * ( 4*t - 11 )
h(t) = - 16*t² + 44*t
Taking derivatives on both sides of the equation we get:
dh/dt = - 32*t + 44
dh/dt = 0 ⇒ -32*t + 44 = 0
t = 44/32 ⇒ t = 1,375 s
So twice this time
2*t = 2 * 1.375
Total time t₁ = 2,75 sec
Answer: d and e
Step-by-step explanation:
a) 4 - 9 = 5 FALSE
b) 20 = 14 + 9 FALSE
c) 15 = 9 - 6 FALSE
d) 9 divided by 3 = 3 TRUE
e) 36 = 4 x 9 TRUE
