Master Algebra 1 Word Problems with our Comprehensive Practice

How to use slope to find parallel lines?

How do you write the expression for the nth term of the sequence given 1,4,7,10,13,...?

Let f be a function $f:\mathbb{R}\to <!--\; \to \; -->\mathbb{R}$, $f(x)=4x^3+1$

We have a number like $\mathrm{\pi <!--\; \pi \; -->}$ or e. Is it possible to subtract another number from it and end up with a rational number? Write an equation like $\mathrm{\pi <!--\; \pi \; -->}-<!--\; -\; -->x=3$

Find the integers if one positive integer is 5 less than another. the product of the two integers is 24

Solve:
$xy=-<!--\; -\; -->30$
$x+y=13$

Does $\sqrt{2}$ contain all the digits of $\mathrm{\pi <!--\; \pi \; -->}$ in order? Does it contain all the digits of $\mathrm{\pi <!--\; \pi \; -->}$ in order an infinite number of times? Does π contain all the digits of $\sqrt{2}$ in order?

Prove that ifn is odd, then n=4k+1 for some k∈Z or n=4k+3 for some k∈Z

Find the point-slope form of the equation of the line passing through the point (10,-9);m=-2

Are the two lines 15x−3y=12 and y=5x+7 parallel or perpendicular?

Find some real life uses of Boolean logic

Write a rule for the nth term of the geometric term and then find ${\displaystyle a_6}$ given ${\displaystyle r=\frac{1}{10},a_2=4}$

False or true, with $m$ and $\in$?
If $m$ and $n$ are rationals, then $m/n$ is rational.

Solve for x
$$|x-<!--\; -\; -->1{|}^{\log <!--\; \; -->(x{)}^2}-<!--\; -\; -->2\log <!--\; \; -->(x))=|x-<!--\; -\; -->1{|}^3$$

${\displaystyle 2x^2+7x+2\ge 0}$

170 is the __ term of -4, 2, 8, ...

Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero real numbers.
$$(5a^{-<!--\; -\; -->4})(a^2{)}^{-<!--\; -\; -->2}$$

Find the slope of any line perpendicular to the line passing through (44,35) and (−2,−3)

Stability of Finite Difference schemes.
I was reading a book ''Numerical partial differential equation: Finite difference methods'' by J. W. Thomas. Here at page no. 74, definition of stability is given as
$\Vert <!--\; \Vert \; -->u^{n+1}\Vert <!--\; \Vert \; -->\le <!--\; \le \; -->K{e}^{\mathrm{\beta <!--\; \beta \; -->}t}\Vert <!--\; \Vert \; -->u^0\Vert <!--\; \Vert \; -->$ for $0\le <!--\; \le \; -->\mathrm{\Delta <!--\; \Delta \; -->}x\le <!--\; \le \; -->\mathrm{\Delta <!--\; \Delta \; -->}{x}_0$ and $0\le <!--\; \le \; -->\mathrm{\Delta <!--\; \Delta \; -->}t\le <!--\; \le \; -->\mathrm{\Delta <!--\; \Delta \; -->}{t}_0$. i.e. this definition allows for exponential growth. however in a few literature i found the definition that ''A finite distinction approximation is solid if the errors (truncation, spherical-off and so forth) decay as the computation proceeds from one marching step to the next .'' The ebook which i've noted, at the equal page in remark 3, creator has written that the above definition with exponential increase is trendy definition and later one may be derived from this.but i am not getting the way to locate this definition. So my question is which definition is true ? And if different one is not proper, then what is motive at the back of ? and the way can we examine those two definition?

$f(x)=0$ if $x$ is irrational, $f(x)=1$ if $x$ is rational. Does a limit exist?