Ace Algebra 1 with our Extensive Collection of Math Problems

Find the slope perpendicular to 7x+2y=0

Cristofer Watson 2022-10-28

Find the slope of a line perpendicular to 5y−6x=0

Chelsea Pruitt 2022-10-28

Write the first five terms of the geometric sequence $a_{1} = 6, r = - \frac{1}{4}$

Kendrick Finley 2022-10-28

Tell whether the sequence 3,5,7,9,11,... is geometric

rhenan5v 2022-10-28

Let $α, β$ be the linearly independent irrational numbers over $Q$ with $α > β > 0$ , and $A = {n α - m β ∣ n, m are nonnegative integers}$ ,m are nonnegative integers}
How to prove that $A$ is dense in $R$ ? Is it true?

Dylan Nixon 2022-10-28

Find the slope of any line perpendicular to the line passing through (−3,9) and (5,−1)

Gerardo Aguilar 2022-10-28

Quadratic Functions
Consider the strictly convex quadratic function $f (x) = \frac{1}{2} x^{t} P x - q^{t} x + r,$ , where $P \in R^{n \times n}$ is a positive definite matrix, $q \in R^{n}$ and $r \in R .$ Let $H := {H : H is a k - dimensional subspace in R^{n}} .$ Clearly, the restriction of f to any $H \in H$ is again a strictly convex function. For any $H \in H,$ we will use $x_{H}$ to denote the unique optimal point of the following problem
$\underset{x \in H}{min.} f (x) .$
Now consider the map, $ψ (H) = x_{H} .$
Prove / Disprove: The map $ψ$ is bijective.
Remark: It is assumed that P is invertible and $q \neq 0 .$

Madilyn Quinn 2022-10-28

Use the binomial series to expand the function as a power series.
\frac{9}{(6+x)^3}

Bairaxx 2022-10-28

Name 3 lines that are not parallel to y=5x−2

Deborah Proctor 2022-10-28

Why is it true that all irrational numbers are non-terminating/non-repeating decimals?

Wyatt Weeks 2022-10-28

Find the slope that is perpendicular to the line 3x+2y=6

Marilyn Cameron 2022-10-27

Solving $2 - 2 \sin^{2} (x) - \frac{3}{2} \sin (2 x) = 0$
I need to solve this equation(preparation for exam).
$2 - 2 \sin^{2} (x) - \frac{3}{2} \sin (2 x) = 0$
I have a idea to convert all sin function to "x", and the solve it using quadratic equation, but I am not sure how to do it, because, here I have two different sin function $\sin^{2} (x)$ and sin(2x).

ajanlr 2022-10-27

Find equation of a line, L which passes through the point (3, -1) and parallel to the line which passes through the points (0,5) and (-2,-3)

Paloma Sanford 2022-10-27

Find function which contains two points
A certain function contains points (-3, 5) and (5, 2). We are asked to find this function,of course this will be simplest if we consider slope form equation
$y - y_{1} = m (x - x_{1})$
but could we find for general form of equation? for example quadratic? cubic?

Eliza Gregory 2022-10-27

The first three term of a sequence are given: 2,8,14. Find the 35th term

Winston Todd 2022-10-27

Assume p is an even function and q is an odd function, given p,q lies on the entire real line, determine if $p \circ q$ is an even or odd function
Fundamentally,
Even function: $f (x) = f (- x)$
Odd function: $f (x) = - f (x)$
can I say that $p \circ q$ is an odd function because:
$(p \circ q) (x) = p (q (- x)) = p (- q (x)) = - (p \circ q) (x)$ ?

cimithe4c 2022-10-27

Find the difference between point-slope form and slope intercept form

JetssheetaDumcb 2022-10-27

Write the first five terms of the arithmetic sequence given $a_{1} = 16.5, d = 0.25$

princetonaqo3 2022-10-27

The denominator of a fraction is 4 more than twice the numerator. When both the numerator and denominator are decreased by 6, the denominator becomes 12 times the numerator. Determine the fraction.
Let the numerator be $𝑥$ and the denominator be $𝑦$
Therefore, Fraction $= \frac{x}{4} + 2 x$
Because, both the numerator and denominator are decreased by $6$
Therefore, the new fraction becomes $𝑥 - \frac{6}{(4 + 2 𝑥)} - 6 = 12 𝑥$

Dylan Nixon 2022-10-27

Consider the following system of equations:
$\begin{aligned} (x + 1)^{2} [(p - l)^{2} + (q - m)^{2}] & = (a - l)^{2} + (b - m)^{2} \\ (x + 1)^{2} [(p - a)^{2} + (q - b)^{2}] & = x^{2} [(a - l)^{2} + (b - m)^{2}] \end{aligned}$
Find the value of $p$ and $q$ in terms of $a, b, x, l$ and $m$ , provided that $x > 0$ .

When you are a high school student or someone already enrolled in college, even those simple research projects will include Algebra 1 equations, which means that getting some help cannot be avoided. Thankfully, you can access Algebra 1 problems and answers free of charge, which will let you see what Algebra 1 practice problems can be used for certain questions. Just remember to check calculations twice as these can easily get complex. The majority of Algebra 1 answers will be familiar to most students dealing with financial concepts as it is not related to advanced Math problems in most scenarios.

Algebra I

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