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Factors and multiples

### Jack has been making $1000 a month for 15 years. How much did he make in total? Factors and multiples ANSWERED asked 2021-08-17 ### Factor $$\displaystyle{x}^{{3}}−{10}{x}^{{2}}+{29}{x}$$ Factors and multiples ANSWERED asked 2021-08-17 ### Find $$\displaystyle{4}-{1}{\left(\frac{{1}}{{2}}\right)}$$ Factors and multiples ANSWERED asked 2021-08-17 ### Find all the zeros, real and nonreal, of the polynomial and use that information to express p(x) as a product of linear factors. $$\displaystyle{p}{\left({x}\right)}={x}^{{{3}}}+{11}{x}$$ Factors and multiples ANSWERED asked 2021-08-17 ### Suppose $$\displaystyle\lambda$$ is an eigenvalue of the $$\displaystyle{n}\times{n}$$ matrix A. If u and v are eigenvectors of A corresponding to $$\displaystyle\lambda$$, which of the following statement MUST be false? 1)$$\displaystyle\lambda={0}$$ 2) u and v are scalars multiple of each other. 3) nullity $$\displaystyle{\left({A}-\lambda{I}\right)}={0}$$ 4) $$\displaystyle{7}{v}-{3}{u}$$ is also an eigenvector of A. Factors and multiples ANSWERED asked 2021-08-17 ### Which expression has both 8 and n as factors? Factors and multiples ANSWERED asked 2021-08-17 ### Without dividing, determine which of the following represent terminating decimals. 1) $$\displaystyle{\frac{{{72}}}{{{81}}}}$$ 2) $$\displaystyle{\frac{{{21}}}{{{28}}}}$$ a. Is $$\displaystyle{\frac{{{72}}}{{{81}}}}$$ a terminating decimal? b. Is $$\displaystyle{\frac{{{21}}}{{{28}}}}$$ A) Yes, because the only factors of the denominator, 81, are 2 and 5. B) No, because the only factors of the denominator, 81, are 2 and 5. C) No, the denominator of the simplified fraction contains a factor other than 2 or 5. D) Yes, the only factors of the denominator of the simplified fraction are 2 or 5. Factors and multiples ANSWERED asked 2021-08-16 ### Suppose that you earned a​ bachelor's degree and now​ you're teaching high school. The school district offers teachers the opportunity to take a year off to earn a​ master's degree. To achieve this​ goal, you deposit$3000 at the end of each year in an annuity that pays 6.5% compounded annually. a. How much will you have saved at the end of five​ years? b. Find the interest.

Factors and multiples

### How many strings are there of four lowercase letters that have the letter x in them?

Factors and multiples

### Use a Double or Half-Angled Formula to solve the equation in the interval $$\displaystyle{\left[{0},{2}\pi\right)}$$. $$\displaystyle{\sin{\theta}}-{\cos{\theta}}={\frac{{{1}}}{{{2}}}}$$

Factors and multiples

### Lumber that is used to frame walls of houses is frequently sold in multiples of 2 ft. If the length of a board is not exactly a multiple of 2​ ft, there is often no charge for the additional length. For​ example, if a board measures at least 8​ ft, but less than 10​ ft, then the consumer is charged for only 8 ft. ​ (a) Suppose that the cost of lumber is ​\$0.70 every 2 ft. Find a formula for a function​ f(x)that computes the cost of a board x feet long for $$\displaystyle{10}\leq{x}\leq{16}$$. ​(b) Determine the costs of boards with lengths of 8.6 ft and 15.1 ft.

Factors and multiples

### Find $$\displaystyle{x}{P}{\left({x}\right)},{x}^{{2}}{\quad\text{and}\quad}{x}^{{2}}{P}{\left({x}\right)}$$ when: 1. x=1. P(x)=0.25. 2. x=2. P(x)=0.28. 3. x=3. P(x)=0.41. 4. x=4. P(x)=0.06.

Factors and multiples

### A trainer wants to give 3 balls to each of his 25 students. Balls come in bundles of 8. How many bundles will the teacher need?

Factors and multiples

### To find: The partial fraction decomposition for the rational expression $$\displaystyle{\frac{{{11}-{2}{x}}}{{{x}^{{{2}}}-{8}{x}+{16}}}}$$.

Factors and multiples

### A polynomial P is given (a) Factor P into linear and irreducible quadratic factors with real coefficients. (b) Factor P completely into linear factors with complex coefficients. $$\displaystyle{P}{\left({x}\right)}={x}^{{{3}}}-{2}{x}-{4}$$

Factors and multiples

### True or False The least common multiple of 12 and 18 is 6.

Factors and multiples

### To find: the othermonomial. Given: the GCF of $$\displaystyle{12}{x}^{{{2}}}{y}^{{{3}}}$$ and another monomial is $$\displaystyle{6}{x}{y}^{{{3}}}$$, and their LCM is $$\displaystyle{36}{x}^{{{2}}}{y}^{{{4}}}$$.

Factors and multiples

### Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors $$\displaystyle{\left\lbrace{v}-{u},{w}-{v},{u}-{w}\right\rbrace}$$ is linearly independent or linearly dependent.

Factors and multiples