Answer: a=1 b=3
Step-by-step explanation: the x for each of the points are 1 and 3
The linear function that can be used to determine the height, H, of the plane after m minutes is given by:
H(m) = 8000 - 500m
<h3>What is a linear function?</h3>
A linear function is modeled by:
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.
In this problem:
- The plane is descending from an altitude of 8,000 feet, hence the y-intercept is b = 8000.
- The plane descends at a constant rate of 500 feet per minute, hence the slope is of m = -500.
Thus, the equation is:
H(m) = 8000 - 500m.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
f(x) = x³ +3x² -6x -18
Step-by-step explanation:
In order for there to be a root of √6, there must be a factor of (x-√6). In order for there to be rational coefficients, there needs to be another factor of (x+√6) in the minimal polynomial. Then the minimal polynomial with the required roots is ...
f(x) = (x +3)(x -√6)(x +√6) = (x +3)(x² -6)
f(x) = x³ +3x² -6x -18
Answer:
106%= X + 6%
divide both sides by 106
1% = 1% of X
multiply both side by 100
100% = original price.
Example
106% = £5
divide both sides by 106 to find 1%
1% = 0.04716981
multiply both sides by 100 to find original price
100 X 0.04716981 = 4.71698113
100% = 4.72
original price = £4.72