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Algebra
Algebra II

Which equation is the inverse of $y = 9 x^{2} - 4 ?$

armlanna1sK 2022-11-25

If a function f(x) is shifted to the left one unit, what function represents the transformation

Mark Mcbride 2022-11-25

We need to convert the number $\frac{2 - 3 i}{- 3 - i}$ into Cartesian form

Will Osborn 2022-11-25

Solve the equation for x.
$\frac{x}{3} = \frac{2 x + 3}{7}$

lascieflYr 2022-11-25

The geometric mean of 6 and 24 is
A.10
B.12
C.14
D.16

klupko5HR 2022-11-25

Meaning of consecutive number.

sibNuaxiauoY 2022-11-25

What is the logarithm of a negative number?

funnyantyLEy 2022-11-25

Start with x then alternate on each side of x until you reach 0 on one side and maxNum on the other. Need to do this in some programming code but can't nail it down. How would you write out the formula for that sequence?

Dayanara Nash 2022-11-25

Simplify the expression $10^{\log 5}$

fabianmartinOTQ 2022-11-25

$Combine radicals, if possible: 2 x \sqrt{27 x^{9}} + x^{2} \sqrt{12 x^{7}} - 4 \sqrt{75^{11}}$

Araceli Hopkins 2022-11-25

How can the expression $(x) (3 x)^{3}$ be simplified?

Finn Mosley 2022-11-25

Solve for x.
$40 = \frac{x}{- \frac{4}{7}}$

Salvador Whitehead 2022-11-25

Find the solution of the differential equation that satisfies the given initial condition?
$y (x + 1) + y^{'} = 0$ , $y (- 2) = 1$
I don't understand what this question is telling me to do? Can someone please explain?

Marques Flynn 2022-11-25

Every integer is a rational number.
True or false

Goundoubuf 2022-11-24

Finding the interval of which a multivariable function is defined
Find the interval in which $f (x, y, z) = z + l n (1 - x^{2} - y^{2})$ is defined
So all that is need to to check for which values $l n (1 - x^{2} - y^{2}) \geq 0$
That mean $1 - x^{2} - y^{2} \geq 1 \to x^{2} + y^{2} \geq 0$
But how do I find the specific $x$ terms and $y$ terms?
Or is $x^{2} + y^{2} \geq 0$ is sufficient?

blogmarxisteFAu 2022-11-24

Finding the integral closure of k[x] in $k (x) (\sqrt{f})$ , where $f (x) = x^{6} + t x^{5} + t^{2} x^{3} + t \in k [x]$
Let F be a field of characteristic 2. Let $k := F (t)$ , the field of rational functions in the variable t. Let $f (x) = x^{6} + t x^{5} + t^{2} x^{3} + t \in k [x]$ .
We want to show that the integral closure of k[x] in $k (x) (\sqrt{f})$ is $k [x] [\sqrt{f}]$ .
So let $α = m + n \sqrt{f} \in k (x) (\sqrt{f})$ , where $m, n \in k (x)$ . Since F(t) is a field, k[x] is a PID and therefore $α$ is integral over k[x] if and only if its minimal polynomial in k(x) has coefficients in k[x]. Let's then find the minimal polynomial of $α$ .
$\begin{aligned} p (y) & = (y - (m + n \sqrt{f})) (y - (m - n \sqrt{f})) \\ = y^{2} - 2 m y + (m^{2} - n^{2} f) \end{aligned}$
and since $m \in k (x) = F (t) k (x)$ and the characteristic of F equals 2 we get that $2 m y = 0$ . Hence
$p (y) = y^{2} + (m^{2} - n^{2} f)$
Thus, $α = m + n \sqrt{f}$ is integral over k[x] iff $m^{2} - n^{2} f \in k [x]$ . I' m pretty sure that I'm on the right course but I don' t know how to continue.

Belinda Colon 2022-11-24

Solving for $x$ in an exponential equation
Say we the following equation
$F (x) = \frac{\exp (a + b x)}{1 + \exp (a + b x)}$
Now we set $x = 0$ and we want to solve for $a$ as a function of $F_{0}$ .
So that, we have:
$F_{0} = \frac{\exp (a)}{1 + \exp (a)}$
Can someone please walk me though the logarithmic transformation on how we achieve this end result
$a = \ln (\frac{F_{0}}{1 - F_{0}})$

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Algebra II

Translate the expression 5x-7