Solved College Algebra Examples for Your Success

College
Algebra

Let $p, q \in Z$ be district primes. Prove that $Q (\sqrt{p}, \sqrt{q}) = Q (\sqrt{p} + \sqrt{q})$ , and that $Q \subseteq Q (\sqrt{p} + \sqrt{q})$ is a degree 4 extension.

nicekikah 2020-10-20

Let $A = {a, b, c, d}$
1. Find all combinatorial lines in $A^{2}$ . How many combinatorial lines are there?
2. Let n in $N$ . Prove that the number of combinatorial lines in $A^{n}$ equals $5^{n} - 4^{n}$

Annette Arroyo 2020-10-20

If a is an idempotent in a commutative ring, show that $1 - a$ is also an idempotent.

foass77W 2020-10-19

If a ring has the characteristic that, then prove that it is commutative ab = ca implies b = c when $a \neq 0$ .

facas9 2020-10-18

Self-Check A student scores 82, 96, 91, and 92 on four college algebra exams. What score is needed on a fifth exam for the student to earn an average grade of 90?

Braxton Pugh 2020-10-18

To calculate:
The points needed on the final to avetage the points to 75.
Given information:
Grades in three tests in College Algebra are 87, 59 and 73.
The average after final is 75.

Haven 2020-10-18

To calculate: The probability that a student chosen randomly from the class is not going to college if the number of students in a high school graduating class is 128, out of which 52 are on the honor roll, and out of these, 48 are going to college. The number of students who are not on the honor roll is 76,out of these 56 are going to college.

a2linetagadaW 2020-10-18

Find the x-and y-intercepts of the graph of the equation algebraically.
$4 x - 5 y = 12$

Wribreeminsl 2020-10-18

Given the elow bases for $R^{2}$ and the point at the specified coordinate in the standard basis as below, (40 points)

$(B 1 = {(1, 0), (0, 1)}$ &

$B 2 = (1, 2), (2, - 1)}$ (1, 7) = $3^{} (1, 2) - (2, 1)$
$B 2 = (1, 1), (- 1, 1) (3, 7 = 5^{} (1, 1) + 2^{} (- 1, 1)$
$B 2 = (1, 2), (2, 1) (0, 3) = 2^{} (1, 2) - 2^{} (2, 1)$
$(8, 10) = 4^{} (1, 2) + 2^{*} (2, 1)$
B2 = (1, 2), (-2, 1) (0, 5) =
(1, 7) =

a. Use graph technique to find the coordinate in the second basis. (10 points) b. Show that each basis is orthogonal. (5 points) c. Determine if each basis is normal. (5 points) d. Find the transition matrix from the standard basis to the alternate basis. (15 points)

illusiia 2020-10-18

Given the full and correct answer the two bases of $B 1 = {(\begin{matrix} 2 \\ 1 \end{matrix}), (\begin{matrix} 3 \\ 2 \end{matrix})}$
$B_{2} = {(\begin{matrix} 3 \\ 1 \end{matrix}), (\begin{matrix} 7 \\ 2 \end{matrix})}$
find the change of basis matrix from $B_{1} \to B_{2}$ and next use this matrix to covert the coordinate vector
${\vec{v}}_{B_{1}} = (\begin{matrix} 2 \\ - 1 \end{matrix})$ of v to its coodirnate vector
${\vec{v}}_{B_{2}}$

floymdiT 2020-10-18

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 1 gram = 1000 kilograms ___

tinfoQ 2020-10-18

Find the vector and parametric equations for the line through the point P=(5,−2,3) and the point Q=(2,−7,8).

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College Algebra Solutions for Your Success