Answer:
A. y = 80x
B. g(x) = 80x
C. To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.
Step-by-step explanation:
Part A:
To write an equation, use y= mx where m is the slope, x is the number of days, and y is the rent cost.
x and y remain the same in the equation.
To find m, use the slope formula with (5,465) and (7, 625).
It costs $80 a day.
The equation is y = 80x.
Part B:
Function notation replaces Y as g(x). So the equation is g(x) = 80x.
Part C:
To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.
Answer:
Step-by-step explanation:
If you are saving 25%, you are still paying 75%, right? So the cost of the TV with a discount of 25% is 192.74(.75) which is $144.56
That's the cost of the TV on sale. Now we need to find the sales tax amount, if the sales tax is .05 as a decimal. We are paying $144.56 for the TV, which is 100% of the cost. On top of that, we are paying another 5%. So altogether, for the TV, we are paying 105% of the TV. Therefore,
144.56(1.05) = $151.79
That part is the median, which is 57.
Let's think of an example which would better help visualize this situation.
1) Someone exercises a lot so they can concentrate more on their homework (here running and concentration on homework are dependent events)
2) Someone exercises a lot because they wear a blue t-shirt (here, you can clearly see that wearing a blue shirt and exercising are not related. These events are independent).
Now concentrating on P(a | b) = Probability a occurred if b occurred.
It does not matter if b occurred (just like it didn't matter that the person wore a blue shirt which meant that they exercised) for the outcome a to occur.
Therefore, probability of P(a | b) = P(a)
P(a | b) = 0.65
Hope I helped :)
Answer:
A and A
the equation of a parabola in vertex form is
y = a(x - h)² + k
where ( h, k ) are the coordinates of the vertex and a is a multiplier
y = - 2(x + 3)² + 2 is in this form
with vertex = ( - 3, 2)
To find the y-intercept let x = 0
y = - 2(3)² + 2 = - 18 + 2 = - 16
Similarly
y = - 2(x + 2)² + 2 is in vertex form
vertex = ( - 2 , 2)
x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept
hope this helped
