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Algebra II

What are the asymptotes of $y = \frac{5}{x}$ and how do you graph the function?

Stacy Barr 2022-09-23

Find the product. you may use the distributive property.
$6 \times 9081$

wijii4 2022-09-23

Solve the initial-value equation.
$t \frac{d y}{d t} + 7 y = t^{7}, t > 0, y (1) = 0$

Addyson Bright 2022-09-23

How do you graph $f (x) = \frac{x + 12}{x^{2} - x - 6}$ using holes, vertical and horizontal asymptotes, x and y intercepts?

Marcelo Maxwell 2022-09-23

How do you graph $f (x) = \frac{4}{x - 1} + 1$ using holes, vertical and horizontal asymptotes, x and y intercepts?

hommequidort0h 2022-09-23

Let $f (x) = 2 x^{2} + 3 x + 4$ and let $g (h) = \frac{f (1 + h) - f (1)}{h}$
Find g(1)

Corbin Bradford 2022-09-23

Give the equation of the line with a slope of $\frac{- 1}{2}$ and a y-intercept o -5

Daniella Reyes 2022-09-23

How to solve this logarithmic equation?
I want to solve this equation:
$8 n^{2} = 64 n \log_{2} (n)$
After some steps, I get to a point in which I believe, the only way to proceed is to apply something like Bolzano's or Newton's method to find a solution.
I get to: $n = 8 \log_{2} (n)$
Of course with big numbers applying Bolzano would be very tedious and this is why I want to ask you if there is an analytical way of solving this, not by approximations.
Thanks a lot!

Jazmyn Pugh 2022-09-23

How do you graph $f (x) = - \frac{1}{x - 2}$ using holes, vertical and horizontal asymptotes, x and y intercepts?

sombereki51 2022-09-23

How do you find the x intercept of $f (x) = \frac{x^{2} + 9 x}{x^{2} + 3 x - 4}$ ?

mangicele4s 2022-09-23

Why does $\log_{4} 32 \neq \log_{4} (4 \cdot 8)$
$\log_{4} 32 = 2.5$
If
$\log_{a} (b \cdot c) = \log_{a} b + \log_{a} c; (a > 0, b > 0, c > 0, a \neq 1)$
Then why does $\log_{4} 32$ can't be $\log_{4} (4 \cdot 8) = \log_{4} 4 + \log_{4} 8 = 1 + 2 = 3$ ?

Mainuillato2p 2022-09-23

Simplify:
(1/4 2nd power divided (2 1/2 -3/4) +5/7)

Kolby Castillo 2022-09-23

Use the Remainder Theorem to find the remainder for each division. State whether the binomial is a factor of the polynomial. $(x^{3} - x^{2} - 10 x - 8) \div (x + 2)$

unjulpild9b 2022-09-23

How do you find the asymptote and graph $y = \frac{1}{x + 3}$ ?

Kallie Fritz 2022-09-23

Meghan Hughes deposits $4,300.00 in an account that pays simple interest. When she withdraws her money 8 months later, she receives $4,529.33. What rate of interest did the account pay? Round to the nearest whole percent.

Altenbraknz 2022-09-23

Simplify the rational expression.
$\frac{x^{2} - 7 x - 30}{x^{3} + 27}$

Lustyku8 2022-09-23

Complete the steps to solve the division problem using long division. $x + 1 \sqrt{2 x^{2} + x - 1}$

pilinyir1 2022-09-23

Logarithmic equations with different bases
I had problems understanding how to solve
$6^{- \log_{6}^{2}}$
Any help would be much appreciated.
Thanks!

easternerjx 2022-09-23

Solve
$- \log_{8} 2 + 5 \log_{8} 2 + \frac{1}{2} \log_{8} (16)$

Sara Fleming 2022-09-23

Logarithm Equality
$\sqrt{\log_{x} (\sqrt{3 x})} \cdot \log_{3} x = - 1$
I am not entirely sure how to go about solving for $x$ . I cannot square each side because the product isn't $\geq 0$ , I can't think of any more approaches right now.

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Algebra II

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