<span> f(x)=[3x-6]/x is {-3, -1, 2, 4, 5}
</span> f(-3)=[3(-3) -6]]/-3 = -15/-3 = 5
f(-1)=[3(-1) -6]]/-1= -9/-1 = 9
f(2)=[3(2) -6]]/2 = 0/2 = 0
f(4)=[3(4) -6]]/4 = 6/4 = 1.5
f(5)=[3(5) -6]]/5 = 9/5 = 1.8
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answer is
</span><span>c {5, 9, 0, 1.5, 1.8} </span>
Log7 (x+3) - log7 (x-3) = 1
log7 [(x+3) / (x-3)] = 1
raise both sides to power of 7
(x+3) / (x-3) = 7
7x – 21 = x + 3
6x = 24
x = 4
The linear function that describes Juan's elevation during his descent is:
B. y = -1460x + 7500.
<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.
In this problem, each hour, the height decays by 1460, hence the slope is of m = -1460, then:
y = -1460x + b.
The y-intercept is found considering that when x = 1, y = 6040, hence:
b = 6040 + 1460 = 7500.
Which means that option B is correct.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
Average = 96
Step-by-step explanation:
Average = sum of terms/ number of terms
sum of terms = number of burgers sold
number of terms = number of visitors
d = number of days since Monday which is 7
burgers sold = 200d^3 + 542d^2 + 179d + 1605 substituting d with 7
burgers sold = 200(7)³ +542(7)² + 179(7) +1605
burgers sold =68600 + 26558 + 1253 + 1605
burgers sold =98016
number of visitors= 100d + 321
number of visitors= 100(7) + 321
number of visitors= 700+321
number of visitors= 1021
Average = 98016/1021
Average = 96
<span> binomdist with n = 3, p = 0.82, q = 1-0.82 = 0.18
P[≥2] = P[2] + P[3] = 3c2 *0.82^2*0.18 + 0.82^3 ≈ 91%
hope it helps
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