Ace Algebra 1 with our Extensive Collection of Math Problems

Solve the equation and (a) find the LCD, (b)Multiply both sides of the equation by its LCD, (c) apply the distributive property and simplify
$\frac{x - 6}{x^{2} - 4 x - 12} + \frac{2}{x + 2} = \frac{1}{x - 6}$

kembdumatxf 2022-03-23

Solve the equation $6 x - 2 (x + 2) - 5 = 0$

markush35q 2022-03-23

Solve $z^{2} + (2 + 2 i) z + i = 0$

Janiyah Hays 2022-03-23

Solve $\sqrt[4]{m + 4} - 5 = - 2$

Deegan Chase 2022-03-23

Making sense of William Jones's solution of quadratic equations and notation
William Jones, when discussing quadratic equations, says: "Therefore if $\lor$ be put for the Sign of any Term, and ∧ for the contrary, all Forms of Quadratics with their Solutions, will be reduc'd to this one. If $x x \lor a x \lor b = 0$ then $\land \frac{1}{2} a \overset{―}{\pm a a \land b}!, ∣^{\frac{1}{2}}$ ."
Could you please help me make sense:
(a) What is meant with "the contrary" of "any sign"?
(b) Do I understand correctly that the "then" part supposed to be a solution to the preceding quadratic equation? If yes, how does this work exactly? How does it align with how we would symbolize the solution today?

sexoagotadorogyr 2022-03-23

Let $x^{2} - m x + 24$ be a quadratic with roots $x_{1} and x_{2}$ . If $x_{1} and x_{2}$ are integers, how many different values of m are possible?

talpajocotefnf3 2022-03-23

Let $x_{1} and x_{2}$ be the real root of the equation $x^{2} - k x + (k^{2} + 7 k + 15) = 0$ , if the maximum value of $(x_{1}^{2} + x_{2}^{2}) = d \frac{18}{x}$ , then find the value of x?

David Rodgers 2022-03-23

Let $A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and$
$R = {r (x_{1} y) : 7) (2 x + 5 y)$ where $x_{1} y ϵ A}$
Phase that R is an equivalence relation on A!

Lorelei Stanton 2022-03-23

Let $A (α) = (α I + (1 - α) B) - 1$ be the inverse of a convex combination of the n-by-n identity matrix I and a positive semidefinite symmetric matrix B, where the combination is given by $α \in (0, 1]$ . The matrix B is not invertible. For some n-dimensional vector c, I want to find $α$ such that
$c^{T} A (α) (I - B) A (α) c = 0$
Is there a closed-form solution for $α$ ?

Erik Cantu 2022-03-23

Let $α and β$ be the roots of $x^{2} - x - 1 = 0$ . If $P_{k} = {(α)}^{k} + {(β)}^{k}, k \geq 1$ then prove that
a) $P_{5} = 11 $$
b) $P_{1} + P_{2} + P_{3} + P_{4} + P_{5} = 26$

Jazmyn Holden 2022-03-23

Let $\frac{1}{2} < \cos 2 A < 1$ and $6 \tan A - 6 \tan^{3} A = \tan^{4} A + 2 \tan^{2} A + 1$ , find $\tan 2 A$

Isaac Hampton 2022-03-23

Let $α, β$ be the roots of $x^{2} - x + p = 0$ and $γ, δ$ be the roots of $x^{2} - 4 x + q = 0$
where p and q are integers. If $α, β, γ, δ$ are in GP then $p + q$ is?

Amya Horn 2022-03-23

Let $(x_{0}, y_{0})$ be the solution of the following equations ${(2 x)}^{\ln 2} = {(3 y)}^{\ln 3}, 3^{\ln x} = 2^{\ln y}$ . Then $x_{0}$ is:

ezpimpin6988ok1n 2022-03-23

Let G be a group and let F be the family of all subgroups of finite index. Let ${x_{n}}$ be a sequence in G. We define this sequence to be Cauchy if given $H \in F$ there exists $n_{0}$ such that for $m, n \geq n_{0}$ we have $x_{n} x_{m}^{- 1} \in H$ . We define multiplication of two sequences componentwise.
Now, we define ${x_{n}}$ to be a null sequence if given $H \in F$ there exists $n_{0}$ such that for $n \geq n_{0}$ we have $x_{n} \in H$ .
Prove that the null sequences N form a normal subgroup of the Cauchy sequences C.

Asher Olsen 2022-03-23

Given polynomial $P (x) = x^{2} + a x + b$ . Knowing that there only exists one value of real c such that $P^{2} (c) = c$ , calculate the minimum value of $a + b + c$ .
Notation: $P^{2} (x) = (P \circ P) (x)$

parksinta8rkv 2022-03-23

Given $\frac{z_{1}}{2 z_{2}} + \frac{2 z_{2}}{z_{1}} = i$ and 0, $z_{1}, z_{2}$ form two triangles with A,B the least angles of each. Find $\cot A + \cot B$ .

Miley Caldwell 2022-03-23

Give the solution
1) $\frac{2 - x}{9 x} = \frac{x - 2}{x^{3}}$
2) $| \frac{x^{2} - 9}{x^{2} + 1} | \leq 1$
3) $16^{x} - 2^{2 x + 1} = 3$
4) $\frac{\log_{3} (6 - x)}{\log_{3} (x)} = 2$

Two friends wash cars to make extra money. The profit P(x) of one friend after x days can be represented by the function P(x) = −x2 + 9x + 10. The second friend's profit can be determined by the function Q(x) = 12x. Solve the system of equations. What solution is a viable answer to the question, "After how many days will the two students earn the same profit?" and which solution is a nonviable answer? Show your work and justify your answer.

justbethlflql 2022-03-22

Solve, please: ${(u - 3)}^{3} - 48 = 0$

Rolando Wade 2022-03-22

Solve, please
$\sqrt{t + 3} + 4 = t + 1$

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.

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