Answer:
The answer is 32.
Step-by-step explanation:
What is h?
maybe 25%
i hope it helped you sorry if it didn't
Using a system of equations, the meaning of point R is given as follows:
A number of books and their cost where both subscriptions cost the same.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable. In a graph, the solution to the system is the intersection point of the two equations.
In this problem, the point R is the point in which:
3y = 96.
That is, the point in which the prices are equal, hence:
A number of books and their cost where both subscriptions cost the same.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
A. x^2 + 3x + 2
D. 3x^4 + 4x^3 - 3x^2 - 1
E. 3t^3 + 3t^2 + 2t
Step-by-step explanation:
Standard form is where the equation is set up so that the exponents decrease from left to right, and where you put a number with no variable or exponent last.
You do the implcit differentation, then solve for y' and check where this is defined.
In your case: Differentiate implicitly: 2xy + x²y' - y² - x*2yy' = 0
Solve for y': y'(x²-2xy) +2xy - y² = 0
y' = (2xy-y²) / (x²-2xy)
Check where defined: y' is not defined if the denominator becomes zero, i.e.
x² - 2xy = 0 x(x - 2y) = 0
This has formal solutions x=0 and y=x/2. Now we check whether these values are possible for the initially given definition of y:
0^2*y - 0*y^2 =? 4 0 =? 4
This is impossible, hence the function is not defined for 0, and we can disregard this.
x^2*(x/2) - x(x/2)^2 =? 4 x^3/2 - x^3/4 = 4 x^3/4 = 4 x^3=16 x^3 = 16 x = cubicroot(16)
This is a possible value for y, so we have a point where y is defined, but not y'.
The solution to all of it is hence D - { cubicroot(16) }, where D is the domain of y (which nobody has asked for in this example :-).
(Actually, the check whether 0 is in D is superfluous: If you write as solution D - { 0, cubicroot(16) }, this is also correct - only it so happens that 0 is not in D, so the set difference cannot take it out of there ...).
If someone asks for that D, you have to solve the definition for y and find that domain - I don't know of any [general] way to find the domain without solving for the explicit function).
