I was responding to Jomo, who said that we all agreed. Well I don't agree, and I do not know quite what your standing is to tell me that I may not express that disagreement.
Type: Posts; User: JeffM
I was responding to Jomo, who said that we all agreed. Well I don't agree, and I do not know quite what your standing is to tell me that I may not express that disagreement.
Finitism is a perfectly respectable position in mathematics. Prove that it is false.
Yes, exactly. The issue is what is the problem that the OP is supposed to solve. It would be odd to pose a problem to factor an expression (rather than an equation) by completing the square.
You have not answered my question at all, but evaded it. Demonstrate to me a right triangle with provably equal sides. I do not want approximations. I do not want measurements that have some degree...
But I do not agree that it is an expressible number and thus do not agree that it is truly a number at all.
But I agree that I may be wrong; I have been before. What number does your calculator...
Alternatively, start factoring immediately
\dfrac{1}{2} * n(n + 1) + \dfrac{1}{2} * (n + 1)(n + 2) = \dfrac{1}{2} * (n + 1) * (n + n + 2) \implies \text {WHAT?}
Your purpose was to group terms with a common factor, but the name of the rule that you used is the commutative law of addition, meaning
j + k = k + j.
The rule you used in the other two steps...
This thread has delved into a number of ideas and so may be confusing. Let's recapitulate in one place.
First, it is false that the solution to every valid equation can be expressed exactly in...
16^x = 2 \implies log_2(16^x) = log_2(2) = 1 \implies WHAT?
And just WHY do you think I spend each Wednesday afternoon helping students from the local high school individually? Or come here every day? Nice try at deflection, Doctor. (By the way, are you a...
And right there is part of the problem. If we see the list, I bet it will not include all that is needed to justify the student's reasoning. The student will be expected to supplement the list with...
I am not sure that it is technically a fundamental property. It is certainly a theorem derivable from the definition of additive inverse, a convention of notation, and the following two axioms (or...
Well obviously I must agree with that. I was just focusing on the difference between calculating limits numerically with respect to functions that are everywhere continuous or are discontinuous only...
This is a good question.
The terminology can be confusing. When we say "plus a constant" with respect to an indefinite integral, we really mean "plus some number." What you did, writing down c to...
I disagree. If the question were to give a formal proof, then you must formally prove continuity before you can substitute. There is, however, no obligation to prove everything from first principles...
Ahh mon ami, what is the fun in that? Moreover, in my youth, back when mastodons roamed the woodlands, some of my more intriguing questions were posed while I could hardly be called sober. And...
To avoid testy answers, try comprehensible questions. If your question can be asked in a single sentence, give that approach a try.
Why is this posted in algebra when it seems to be a question in multivariate calculus?
Although it makes no mathematical difference, it is usual to make y the dependent variable when using x and...
If y is bigger than x by 1/8th of x, then
y = x + \dfrac{1}{8} * x \equiv \left (1 + \dfrac{1}{8} \right ) * x \equiv \dfrac{9x}{8}.
Just different ways to get the same arithmetic result....
Why are you worrying about problem 7 when you have not completed problem 4.
You were to find the both the other zeroes of P(z) and the value of a, given that:
5 - i \text { is a zero of } P(z)...
x = 0 \implies x = 0.
x - 1 = 0 \implies x = 1.
x + 2 = 0 \implies x = -\ 2.
That certainly does NOT mean that plus 1 and minus 2 are the same number. What it means is that the equation has...
There is a basic property of numbers known as the zero product property.
If a product equals zero, then AT LEAST one of the factors must equal zero.
So if x(x - 1)(x + 2) = 0 \implies WHAT?
...
Your attempted solution does not seem to be even addressing the problem given. They give you a helpful clue by suggesting that you think about dice of different colors.
How many any of the 36...
Yes. Well done.
For reasons known only to themselves, economists use mathematical conventions different from those used by mathematicians and physical scientists. Moreover, economists use "elasticity" in two...