Answer:
Step-by-step explanation:
Given:
Two points are given
x = number of minutes
y = length of the lin
⇒ (0, 6)
⇒ (20, 17)
We need to find the equation that represents the relationship between x, y.
Solution:
Using slope formula to find the slope of the equation of the line.
Substitute = (0, 6) and = (20, 17) in above equation.
So, slope of the line
Using point slope formula.
------------(1)
Where, m = slope of the line
Substitute ⇒ (0, 6) and in equation 1.
Add 6 both side of the equation.
Therefore, the equation that represents the relationship between x and y is written as:
<h3>Answer:</h3>
y = 2·sec((x -3π/2)/2) -4
<h3>Explanation:</h3>
The general shape of the curve suggests the parent function is a secant or cosecant function. Here, we choose to use the secant. It might help to familiarize yourself with the graph of a secant function (shown in the second attachment).
The centerline between the local maximum and local minimum is at -4, so that is the vertical offset.
The distance between that centerline and a local maximum or minimum is 2 units, so the vertical expansion factor is 2.
The horizontal distance between the local maximum and local minimum is 2π, so represents a horizontal expansion by a factor of 2.
The location of the local minimum is at x=3π/2, so that represents the horizontal offset.
The form of the function with these various transformations is ...
... g(x) = (vertical scale factor) × f((x - (horizontal offset))/(horizontal expansion factor)) - (vertical offset)
Filling in the function and the various values, we get ...
... y = 2·sec((x -3π/2)/2) -4
<span>spends $4 to enter the fair and $12 on food
</span>$80 - $4 - $12 = $64
<span>fair cost $1.25 per ride
</span>equation
1.25x = $64
or
f(x) = -1.25x + 64
answer is C.
<span>f(x) = −1.25x + 64</span>
This is the Commutative Property of addition. called Commutative because the numbers move around to the other order, or "commute"
Answer:
804.25
Step-by-step explanation:
V = 3.14(4^2)(16)