9514 1404 393
Answer:
(x, y) = (3, 12)
Step-by-step explanation:
Using the given variable definitions, we can write the equations ...
y = x + 9
2(x +y) = 30
__
Solving the second equation for y, we have ...
y = 15 -x
Substituting this into the first equation gives ...
15 -x = x +9
6 = 2x . . . . . . . . . add x-9
3 = x . . . . . . . . . . divide by 2
y = 3+9 = 12 . . . . substitute into the first equation
The numbers are (x, y) = (3, 12).
As you see in the picture, there are two lines that could maybe represent two linear functions. However, this is not true because of the solid point and the hollow point. This is an inequality equation that has points of discontinuity.
Points of discontinuity are breaks in the graph that are a result of an undefined point when the f(x) is substituted with a point of x that is not part of the solution. So, technically, the graph is made from one rational expression.
So, when it says f(-2), this is the y-value at x=-2. That means f(-2)=2, f(0)=3 and f(4)=-1. Specifically, there are two points at x=0, but we take the solid point only.
Step-by-step explanation:
5×a×5×a
collect like terms
5×5×a×a
25×a^2
25a^2
We'll use the slope-intercept form y = mx + b. Where m is the slope and b is the y-intercept.
We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b
To find the y-intercept, plug in the ordered pair that the question gave us into our equation and solve for b.
7 = (-1/5)(-3) + b
7 = 0.6 + b
6.4 = b
b = 6 2/5
So, the y-intercept will be at 6 2/5.
The answer it is b because that is the right answer
