Answer:
y represents the total amount he spent in x amount of rides+ the $10 fee.
Step-by-step explanation:
At x=0, y=10 because he needs to pay $10 to enter, and he haven't rode on anything yet.
x=1, y=12
x=2, y=14
x=3, y=16
... and so on.
(x + 7)(x + 4)
(x² + 4x + 7x + 28)
x² + 11x + 28
Answer:
33
Step-by-step explanation:
Step 1: The Diagonals of the Convex Quadilateral are Mutually Perpendicular this makes the shape a Rhombus Shape
Step 2: The formula for a area of a rhombus is the multiply the two lengths and divide by two.
In this Question we have x×y÷2 or xy/2
Step 3: The sum of the lengths of the diagonals is 12
x+y=12
y=12-x
Therefore, the area, as a function of x alone = x(12-x)/2
Step 4: To find the maximum area, let's find the derivative of the area function in respect to x and then equate to 0.
d/dx(x(12-x)/2)=0
d/dx(12x - x^2) = 0
12-2x=0
12-0=2x
12=2x, divide both sides by 2
x= 6
Step 5: Calculate the Maximum Area
The maximum area will then be 6(12 - 6)/2
= (72-6)/2 = 66/2= 33
So, the maximum area is 33.
Answer:
Substitution method can be used
Step-by-step explanation:
Given the system of equations
y = 2x-1 ....1
-12x + 3y = 9 ....2
The best method to use id the substitution method
Substitute equation 1 into 2;
From 2;
-12x + 3y = 9
-4x + y = 3
-4x + 2x-1 = 3
-2x -1 = 3
-2x = 3+1
-2X = 4
x = -4/2
x = -2
Substitute x = -2 into 1
y = 2x - 1
y = 2(-2)-1
y = -4-1
y = -5
Hence the solution to the system of equation is (-2, -5)
