<span>so here is how you can answer this:
Your commission must be equal to the sum of the 10% of the value of the rug and the 15% of the value of the furniture and equate this to the value of your commission. Translate this to a mathematical equation, you would get,
Commission = (10%) (value of rugs) + (15%) (value of furniture).
substituting the known values,
5000 =.1 * x + .15 * 12500.
Now it's a matter of finding for x. You should get,
x = $31,250.</span>
[This question is such you will not understand a thing without your involvement as well. So follow my step and check by yourself]
First plot both functions on graph (this you gotta do yourself and check because only then you will learn)
How you plot the function?
f(x)=-3x³+5x-5
Put y=f(x)
y=-3x³+5x-5➡eqn(1)
So note the corresponding values of y on putting different values of x in that function.
I'll show u:
When x=0,y=-5 [calculate yourself it's easy just put x=0 and find value of y in eqn(1)]
Similarly,
x=1,y=-3
x=2,y=-19
[Similarly put x=-1,-2..and find corresponding y]
So you got points (0,-5),(1,-3),(2,-19)...plot these points and you have successfully plotted f(x).
Same process for plotting function g(x)....at least 6 points must be plotted.
❇After plotting f(x) and g(x):
1)check by yourself if they have same y-intercept (which is the distance between origin and the point of intersection of y-axis and the curve/line)
2) To check if they have same behavior or not,
increase the value of x[ie,1,2,3...] and note the corresponding value of y in function f(x) . Then decrease value of x[ie,-1,-2,-3..] and note corresponding value of y [note that y means function or f(x)]
Suppose f(x) has following end behavior:
When x increases f(x) tends to decrease
and when x decreases f(x) tends to increase
Now find end behavior of g(x) also..and if above end behavior matches with g(x), they will have same end behavior.
3) check by yourself by looking in plotted graphs of f(x) and g(x) whether they have at least one x-intercept or not.
4)g(x) is even function but f(x) is odd function.
So, g(x) is symmetrical over y-axis but f(x) is not.
5) Actually most of the algebraic polynomial functions don't show periodicity(but trigonometric and exponential function do). You can check by yourself by looking in plotted graph. If graph seems to be repeating same behavior it is periodic otherwise not. I am sure the given functions are not periodic. {Plz google periodic function if you want to know more}
Answer:
Step-by-step explanation:
A direct variation equation has the following format:
Where k is a constant.
We know that y is 12 when x is -2. Thus, substitute:
Divide both sides by -2:
So, our direct variation equations is:
To find what x is when y equals -6, substitute in -6 for y:
Divide both sides by -6:
So, our answer is 1 :)
A) 15/33 B) 18/33 C) 26/33 if you have to use words use most likely, probably, etc
