Whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring.
In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.
this means our two numbers are 5 and 2
10 and -7 times each other equals -70.
10 plus -7 equals 3.
Hope this helps you! (:
Answer:
(
1
,
∞
)
Step-by-step explanation:
Interval notation rounds up to infinite
Answer:
y = (2/5)x + 3
Step-by-step explanation:
Note that the y-intercept is (0, 3) and that the line passes right through the point (5, 5). First we find the slope of this line: m = rise/run.
As we move from (0, 3) to (5, 5), we see that x increases by 5 (the run) and y increases by 2 (the rise). Thus, the slope of this line is m = 2/5.
Now we know that m = 2/5, x = 5, y = 5 and b (the y-intercept) is 3. Then our equation is y = mx + b, or y = (2/5)x + 3
5 + (8*y) = h
This was the best I could think of, please let me know if I'm wrong.
