"Which ... " undoubtedly means "Here are some choices. Pick
the correct one.". Sadly, you decided not to tell us the choices.
There are an infinite number of them.
Here are a few:
(3, 2)
(6, 6)
(9, 10)
(12, 14)
(15, 18)
(18, 22)
(21, 26)
(333, 442)
X is equal to 3. Since the triangle is a 30-60-90 triangle, the hypotenuse is 2x, the side length opposite of 60 degrees is xsqrt3, and the length opposite of 30 degrees is x.
Answer:
(A)
Step-by-step explanation:
The graph of any function (of 
) can be shifted horizontally by a number 
by replacing every in the function with 
. And, if we want to shift the graph vertically, we simply add the number we want to shift by (which I'll call 
) to every output of the function.
Functionally, if we have any function 
We can shift it horizontally by units and vertically by units by creating a function 
.
Notice that in this case, 
. So the graph of is shifted 2 units to the left, and 4 units down.
Or if this is too abstract of an explanation, then notice
![\sqrt[3]{x + 2} - 4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%20%20-%204)
looks similar to ![\sqrt[3]{x - h} - k](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20-%20h%7D%20%20-%20k)
. Specifically, if h = -2 and k = -4 (the graph is shifted two units left and 4 units down), then the function becomes equivalent to 
Okay I don't know how much you already know so I will just try and explain everything.
For the first set of problems it says to determine if its a polynomial and what type of polynomial and its degree.
A term are things like x, y, xy, x^2, xy^2, 4xy^3, etc.
The way I remember is that if the variables or numbers are MULTIPLYING or DIVIDING then it is a term.
A polynomial is any expression with multiple terms such as x + y or 4xy^2 + 5z^3 - 4q so it is the ADDITION or SUBTRACTION of terms. Do you follow so far?
Okay next part asks about the degree. The degree of an expression is the highest exponent in the expression. So the degree of x would be 1 and the degree of x^2 + 4y^8 would be 8 since 8 is the highest exponent.
Now it asks about what type of polynomial it is. Monomial means there is ONE term. Binomial means there are TWO terms, Trinomial means THREE, and so on.
Okay now once you solved all of those first problems it asks to write in standard form.
Standard form for polynomials are the terms in descending degree order, meaning the term with the highest exponent goes first and then decreases from there.
The leading coefficient is just the coefficient of the term of the highest degree
EX: 5x^2 + 2x^3 + y in standard form would be 2x^3 + 5x^2 + y and the leading coefficient would be 2
Now the final set is just simplification of the polynomials. What you need to do is combine like terms. With addition it is pretty straight forward, however with subtraction many students mess up. What I suggest to do with subtraction is distribute the negative sign over the polynomial. If you are not sure what this means just ask and I'll try to comment.
I hope this helped and good luck!
