Algebra Word Problems Solved | Algebra Help & Examples

High School
Algebra

Use mathematical induction to prove that $n (n^{2} + 5)$ is divisible by 6 for $n \in N$

Cheyanne Leigh 2020-11-09

Solve the equations and inequalities. Write the answers to the inequalities in interval notation if possible. (A) $| 7 x + 4 | + 11 = 2$
(B) $| 7 x + 4 | + 11 < 2$
(C) $| 7 x + 4 | + 11 > 2$

Bergen 2020-11-09

Solve y=f(x) for x. Then find the input(s) when the output is -3. f(x)=3x+5

alesterp 2020-11-09

Write the numeral for seventeen million, one hundred five thousand.

Brittney Lord 2020-11-09

What is the sum of the third multiple of four and the third multiple of five?

ddaeeric 2020-11-09

A geometric sequence's first 8 terms add up to 6560. The usual ratio is three. Which term comes third in the sequence?

Annette Arroyo 2020-11-09

Use the appropriate Lagrange interpolating polynomials to find the cubic polynomial whose graph passes through the given points. $(1, 2), (2, 1), (3, 3), (6, 1) (1, 2), (2, 1), (3, 3), (6, 1)$ .

Anish Buchanan 2020-11-09

The absolute value gives us the "size" or magnitude of a number. Find each of the following.
a) $| - 7 |$
b) $| - 2 |$
c) $| 6 |$
d) $| 0 |$

a2linetagadaW 2020-11-09

decide if the given statement is true or false,and give a brief justiﬁcation for your answer.If true, you can quote a relevant deﬁnition or theorem. If false,provide an example,illustration,or brief explanation of why the statement is false.
Q) The system of differential equations $x' = t y + 5 (\sin t) y - 3 e^{t}, y' = t^{2} x - 7 x y - 1$ is a ﬁrst-order linear system of differential equations.

Clifland 2020-11-09

A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system be consistent? Illustrate your answer with a specific system of three equations in two unknowns.

bobbie71G 2020-11-09

Write the augmented matrix for the system of linear equations
2y-z=7
x+2y+z=17
2x-3y+2z=-1

bobbie71G 2020-11-09

graph the following. be sure to include the ordered pairs, including any existing x-intercepts (logarithms) and y-intercept (exponentials) along with asymptotes.
$f (x) = 2^{(} x - 3) - 3$

alesterp 2020-11-09

A store sells small notebooks for $8 and large notebooks for $10. If you buy 6 notebooks and spend $56, how many of each size notebook did you buy?

Brittney Lord 2020-11-09

Use the properties of logarithms to rewrite each expression as the logarithm of a single expression. Be sure to use positive exponents and avoid radicals.
a. $2 \ln 4 x^{3} + 3 \ln y - \frac{1}{3} \ln z^{6}$
b. $\ln (x^{2} - 16) - \ln (x + 4)$

Marvin Mccormick 2020-11-08

Write a quadratic equation in standard form with the given $\sqrt[s]{}$ .
$\frac{- 5, 1}{2}$

Kye 2020-11-08

Express each of the following pairs of signed numbers as absolute values and subtract the smaller absolute value from the larger absolute value.
b.-17,+9

1
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1108
1109
1110
1111
1112
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1127

Even as we are dealing with college subjects like Sociology or Data Science, the use of high school Algebra is inevitable. Some of us may still remember the rules, yet it is only natural have something as a reminder.

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