Answer:
y = -2x + 3
Step-by-step explanation:
y = -2x + b
3 = -2(0) + b
3 = 0 + b
3 = b
Answer:
Step-by-step explanation:
The solution of a system of linear equations is the point of intersection of their graphs because the intersection represents the only x or y values that will satisfy both/all equations. The graph visually shows that the intersection of these equations is the only spot on the graph that all of the equations have in common. This means that only this spot will satisfy all equations. For example, the intersection may be (0,1); this means that for all equations an x value of 0 will always result in the y value of 1. However, an x or y value that satisfies one equation may not satisfy the others if they do not lead to the desired outcome.
A)The y-intercept is 50 because when X=0, y=50. This shows that the car was moving at 50 mph as an initial speed.
B) in two hours (from 1 to 3) the speed increased by 4 miles per 2hours. (from 52 to 56). 4/2 = 2 mph, which is the average rate of change. This represents the amount of speed increased each hour.
C) y=2x+50, and y=60 in this case, so 60=2x+50
60=2x+50
-50 -50
-----------------
10=2x
5=x, so the domain is X<=5 (less than or equal to 5)
I hope this helps you
x^4-10x^2+24=0
x^2 -6
x^2 -4
(x^2-6)(x^2-4)=0
x^2-6=0 x^2=6 x=square root of 6
x^2-4=0 x^2=4 x=-2 or x=2
Answer:
Step-by-step explanation:
The first question is asking you how many visitors there were, using the function model provided, when x = 0. Filling that in gives you:
Anything to the 0 power = 1, so
y = 18,582(1) and
y = 18,582
The second question is asking you how many visitors there were on the 9th weekend, when x = 9:
and
so
y = 7199
The last question is asking on what weekend (unknown x) are there
y = 15.051 visitors. That requires using a log to solve for x. Set it up first:
Start by dividing both sides by 18,582 to get:
Now we need to take the log of both sides to get that x out from its exponential position. By taking the log of the right side, we are given the ability to bring the x down in front:
log(.8099773975) = x log(.90)
Now divide both sides by log(.90) to get
x = 2.000
That means that on the second weekend, there were approximately 15,051 visitors.
