Answer:(3x-2y)(3x+2y)
Step-by-step explanation:
IT is this one
Answer:
Malcolm’s debt-to-income ratio is 0.8125
Step-by-step explanation:
we know that
To find out Malcolm’s debt-to-income ratio, divide monthly expenses by the monthly salary
Let
x ------> Malcolm’s monthly expenses
y -----> Malcolm’s monthly salary
In this problem we have
The ratio is equal to
You can multiply 10 by 1/4 or .25
10x.25=2.5
Answer:
The required equation is 
.
Step-by-step explanation:
The equation of line cd is
Slope intercept form of a line is
Where, m is slope and b is y-intercept.
Slope of line cd is 3.
The product of slopes of two perpendicular lines is -1.
Therefore slope of perpendicular line is 
.
Point slope form of a line is
Slope of perpendicular line is and line passing through the point (3,1).
Therefore the required equation is .
Answer:
Only C is a function
Step-by-step explanation:
To test whether a graph is a function you use the vertical line test.
If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.
We see with A, wherever we put the vertical line it intersects twice.
With B, it intersects infinitely many times.
C is a function because wherever we put the vertical line, it only intersects once.
D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.
The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.
