Answer:
x
2
+
2
x
−
15
Step-by-step explanation:
The sum of three consecutives is b
Answer:
9 = x (assuming 15 is the hypotenuse)
Step-by-step explanation:
15^2 = 12^2 + x^2
225 = 144 + x^2
subtract 144 from both sides
81 = x^2
square root both sides
9 = x
Answer:
The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
Step-by-step explanation:
Let each pound of trail mix cost 
dollars and each pound of jelly beans cost 
dollars.
Given:
7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.
So, 
--------------- 1
Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.
So, 
--------------- 2
Multiplying equation 2 by -3, we get
Now, adding equations 1 and 3, we get
Now, plug in 
in equation 1 and solve for .
Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.
Solve for y...
2xy=1
y=1/(2x)
So this is a function as each x value (with the exception of x=0) produces just one value for y. However, technically there is a vertical asymptote about the vertical line x=0. So there is a discontinuity as x=0.
I say this technically, because most would say that this function is true even with the discontinuity (as they do with say y=tana), but technically the discontinuity makes this not a function because another requirement of a function is for their to be an actual output value for each input value. In this case division by zero when x=0 is undefined and cannot be included as part of a function. So if you are picky about being absolute, 2xy=1 is really two functions. One with a domain of (-oo,0) and another with a domain of (0,+oo).
