<- Distributive Property
<- Combine Like Terms
If you're trying to solve for 0:
<- Subtracted 18 from both sides
<- Divided both sides by 60 and then simplified.
<- Fraction Form
<- Decimal Form
Give Brainliest for simple answer plz :P
Answer:
The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.
Sine function model: where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes.
(Score for Question 1: ___ of 4 points)
1. What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel.
Answer:
Step-by-step explanation:
The solutions are 2 and 5
Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:
x^2 = 7x - 10
Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.
x^2 + 10 = 7x
Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.
x^2 - 7x + 10 = 0
Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.
(x - 2)(x - 5) = 0
You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.
x - 2 = 0
x = 2
One of the solutions is 2, because you add 2 to x to get 0.
x - 5 = 0
x = 5
The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.
2^2 = 7(2) - 10
4 = 14 - 10
So 2 is definitely a solution.
5^2 = 7(5) - 10
25 = 35 - 10
5 is also a solution.
Hope that helps :]
Answer:
B. $5.58
Step-by-step explanation:
In order to find the amount of income earned, we can set up an equation using a variable for the number of checks and the minimum balance:
Income earned = (.008)b - $0.10c - $2.00, where b = the minimum balance and c = the number of checks.
Since the customer writes 21 checks, c = 21 and maintains a minimum balance of $1,210, b = 1210, we can fill in the variables and solve the equation:
Income earned = (.008)(1210) - (0.10)(21) - 2 or 9.69 - 2.10 - 2 = $5.58
