y = −2x + 13
y = 2x − 3
Set the equations to equal and solve for x:
-2x + 13 = 2x -3
Add 2X to each side:
13 = 4x -3
Add 3 to each side:
16 = 4x
Divide both sides by 4:
x = 16/4
x = 4
Now replace x with 4 in one of the equations and solve for y:
y = -2(4) +13
y = -8 +13
y = 5
x = 4 and y = 5 , which is the ordered pair (4,5)
Both numbers are positive values, so the second graph is correct.
Answer:
the brackets signify to multiply both the numbers
3×3=9 not 3z
hope this helps you
Answer:
The slope is -5x
Step-by-step explanation:
To find the slope, you do rise/run. So to get from one point to the other, you would move 5 units down, and 1 unit to the right.
It can be written as -5/1 or -5.
Hope this helps!
Answer:
37.5
Step-by-step explanation:
First you have to realize that these are similar triangles.
You can do a easy cross multiplication with these types of questions by forming an equation with the similar angles.
put the smaller above the decimal and the bigger one below like this.
=
Now cross multiply
8x=300
x=37.5
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