The lenght of sydney's tennis racket is 2 rulers long. How many feet long is sydeney's tennis racket
1 answer:
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Answer:
Step-by-step explanation:
In order to solve all of these problems, you have to first create an equation. The typical format for an equation looks like this: y = mx + b
m is the slope and b is the y-intercept.
In order to create an equation, you have to find the slope and y-intercept of the function. You can find the slope using this expression: To find the y-intercept, you use a known point and the slope in the equation to solve for b.
Now that we know this, we can solve the problems.
1a.
To create the equation, let's find the slope using points (1, 15) and (2, 30)
= 15/1 = 15
The equation now looks like this: h = 15w + b
Let's use the point (1, 15) from the table to find b
15 = 15(1) + b
15 = 15 + b
subtract 15 from both sides the isolate the b
0 = b
There is no y-intercept for this equation, so the equation looks like this:
h = 15w
1b. We know the equation is h = 15w, so all we have to do is input the 9 into the equation.
h = 15(9)
h = 135
2a. We'll use the points (1, 8) and (2, 16) to find the slope
= 8/1 = 8
The slope is 8.
Since it's impossible to sell any houses in 0 months, we already know that there is no y-intercept, so the equation looks like this:
h = 8m
2b. Put the value of 15 inside the equation and solve.
h = 8(15)
h = 120
3a. We'll use the points (1, 35) and (2, 70) to find the slope.
= 35/1 = 35
The slope is 35.
It's impossible to see any movies in 0 months, so there is no y-intercept. The equation looks like this:
c = 35m
3b. We know that there are 12 months in a year, so put 12 into the equation and solve.
c = 35(12)
c = 420
4a. We'll use the points (1, 8) and (2, 16) to find the slope
= 8/1 = 8
The slope is 8.
It's impossible for there to be a cost if there are no hats, so the y-intercept must be 0. The equation looks like this:
c = 8h
4b. Put the 30 hats into the equation and solve.
c = 8(30)
c = 240
Answer:
The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)
Step-by-step explanation:
A rational equation is a equation where
where both are polynomials and q(x) can't equal zero.
1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of
in our denomiator.
So right now we have
2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.
We can model -2.5 as
So we have as of right now.
Now let see if this passes throught point (6,-3).
So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.
If we have a variable r, in the numerator that will make this applicable, we would get
Plug in 6 for the x values.
So our rational equation will be
or
We can prove this by graphing
