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When can you say that a rational algebraic expression is in standard form?
if it convert
Numbers written without exponents are in what form?
I would say they are in standard form, but I would be more likely just to ask you to write a simplified number without using exponents. The terminology can vary, but the following example shows the usual names: 1,023 is in standard form. One thousand twenty-three is in word form. 1000 + 20 + 3 is in expanded form.
What is the children function for the exponential function?
We usually say something like "y=ex is the parent function of y=3ex-2+10", so the answer to your question is probably " The child functions of y=ex have the form aebx+c+d."
How would you factor 8x2 - xy - 7y2 The 2 after the x and y are the squares. so its 8x squared - xy - 7y squared.?
You can factor this multivariate polynomial (a polynomial with several variables, here x and y), by looking at it as a univariate polynomial in either x or y. This would give you a simple second order equation of the form ax2+bx+c, which you can solve. This will give you 2 solutions, say x1 and x2, and can then factor your polynomial to a(x-x1)(x-x2). In our case: a=8, b=-y and c=-7y2 and the solutions for this equation are x1=y and x2=-7/8*y and this gives us 8x2 - xy -7y2 = 8(x-y)(x+7/8y) = (x-y)(8x+7y)
What is the standard form of x2 10x y 200?
Let's say you want the standard form of the equation x2 + 10x + y + 20 = 0. x2 + 10x + y + 20 = 0 (add 5 and subtract y to both sides) x2 + 10x + 25 = -y + 5 (form the square to the left, and factor out -1 to the right) (x + 5)2 = -(y - 5) which is in the standard form (x - h)2 = 4p(y - k), where (h, k) = (-5, 5) is the vertex, and 4p = -1 yields p = -1/4, so the parabola opens downward.
