asked 2021-05-17

For the following exercise, for each polynomial, a. find the degree; b. find the zeros, if any; c. find the y-intercept(s), if any; d. use the leading coefficient to determine the graph’s end behavior; and e. determine algebraically whether the polynomial is even, odd, or neither. \(\displaystyle{f{{\left({x}\right)}}}={3}{x}−{x}^{{3}}\)

asked 2021-05-04

For the following exercise, for each polynomial, a. find the degree; b. find the zeros, if any; c. find the y-intercept(s), if any; d. use the leading coefficient to determine the graph’s end behavior; and e. determine algebraically whether the polynomial is even, odd, or neither.

\(\displaystyle{f{{\left({x}\right)}}}=-{3}{x}^{{2}}+{6}{x}\)

\(\displaystyle{f{{\left({x}\right)}}}=-{3}{x}^{{2}}+{6}{x}\)

asked 2021-06-14

For the following exercise, for each polynomial, a. find the degree; b. find the zeros, if any; c. find the y-intercept(s), if any; d. use the leading coefficient to determine the graph’s end behavior; and e. determine algebraically whether the polynomial is even, odd, or neither.

\(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{2}}-{3}{x}-{5}\)

\(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{2}}-{3}{x}-{5}\)

asked 2021-06-07

For the following exercise, for each polynomial, a. find the degree; b. find the zeros, if any; c. find the y-intercept(s), if any; d. use the leading coefficient to determine the graph’s end behavior; and e. determine algebraically whether the polynomial is even, odd, or neither.

\(\displaystyle{f{{\left({x}\right)}}}={x}^{{3}}+{3}{x}^{{2}}-{x}-{3}\)

\(\displaystyle{f{{\left({x}\right)}}}={x}^{{3}}+{3}{x}^{{2}}-{x}-{3}\)

asked 2021-05-22

Sheila is in Ms. Cai's class . She noticed that the graph of the perimeter for the "dented square" in problem 3-61 was a line . "I wonder what the graph of its area looks like ," she said to her teammates .

a. Write an equation for the area of the "dented square" if xx represents the length of the large square and yy represents the area of the square.

b. On graph paper , graph the rule you found for the area in part (a). Why does a 1st−quadrant graph make sense for this situation? Are there other values of xx that cannot work in this situation? Be sure to include an indication of this on your graph, as necessary.

c. Explain to Sheila what the graph of the area looks like.

d. Use the graph to approximate xx when the area of the shape is 20 square units.

a. Write an equation for the area of the "dented square" if xx represents the length of the large square and yy represents the area of the square.

b. On graph paper , graph the rule you found for the area in part (a). Why does a 1st−quadrant graph make sense for this situation? Are there other values of xx that cannot work in this situation? Be sure to include an indication of this on your graph, as necessary.

c. Explain to Sheila what the graph of the area looks like.

d. Use the graph to approximate xx when the area of the shape is 20 square units.

asked 2021-06-07

Determine whether each statement makes sense or does not make sense, and explain your reasoning. By modeling attitudes of college freshmen from 1969 through 2010, I can make precise predictions about the attitudes of the freshman class of 2020.

asked 2021-03-12

asked 2021-05-29

\(\displaystyle{f{{\left({x}\right)}}}={\left(\frac{{1}}{{2}}\right)}^{{x}}\)

models the new image size, where x is the number of reductions.

asked 2021-05-23

asked 2021-07-02

An investor plans to put $50,000 in one of four investments. The return on each investment depends on whether next year’s economy is strong or weak. The following table summarizes the possible payoffs, in dollars, for the four investments.

Certificate of deposit

Office complex

Land speculation

Technical school

amp; Strong amp;6,000 amp;15,000 amp;33,000 amp;5,500

amp; Weak amp;6,000 amp;5,000 amp;−17,000 amp;10,000

Let V, W, X, and Y denote the payoffs for the certificate of deposit, office complex, land speculation, and technical school, respectively. Then V, W, X, and Y are random variables. Assume that next year’s economy has a 40% chance of being strong and a 60% chance of being weak. a. Find the probability distribution of each random variable V, W, X, and Y. b. Determine the expected value of each random variable. c. Which investment has the best expected payoff? the worst? d. Which investment would you select? Explain.

Certificate of deposit

Office complex

Land speculation

Technical school

amp; Strong amp;6,000 amp;15,000 amp;33,000 amp;5,500

amp; Weak amp;6,000 amp;5,000 amp;−17,000 amp;10,000

Let V, W, X, and Y denote the payoffs for the certificate of deposit, office complex, land speculation, and technical school, respectively. Then V, W, X, and Y are random variables. Assume that next year’s economy has a 40% chance of being strong and a 60% chance of being weak. a. Find the probability distribution of each random variable V, W, X, and Y. b. Determine the expected value of each random variable. c. Which investment has the best expected payoff? the worst? d. Which investment would you select? Explain.