# Recent questions in Secondary

Complex numbers

### An $$8\times8$$ chessboard has a square cell (or box, like square a1) which measures $$\beta$$ inches on one side. Express the two possible moves of your knight in vector form with units in inches. What are the distances of each possible move from your original position in inches? What are their angles from the horizontal (x-axis)?

Equations and inequalities

### Solve the equation and inequalities. $$\displaystyle{5}{n}^{{2}}-{11}{n}+{2}={0}$$

Differential equations

### Transform the second-order differential equation $$\displaystyle{\frac{{{d}^{{{2}}}{x}}}{{{d}{t}^{{{2}}}}}}={3}{x}$$ into a system of first-order differential equations.

Differential equations

### True or False? Justify your answer with a proof or a counterexample. You can determine the behavior of all first-order differential equations using directional fields or Euler's method.

Exponential growth and decay

### Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. $$f(t)=6(0.84)^t$$

Exponential models

Sequences

Scatterplots

### HOW can you use technology to describe associations in scatter plots?

Linear equations and graphs

### Regarding linear equations with one independent variable, answer the following questions: a. What is the general form of such an equation? b. In your expression in part (a), which letters represent constants and which represent variables? c. In your expression in part (a), which letter represents the independent variable and which represents the dependent variable?

Linear equations and graphs

Scatterplots

Other

### The sales journal and accounts receivable ledger forms for Johnston Supplies are given in the Working Papers. Work this problem independently. Start a new page for an accounts receivable ledger account for Kelly Di ll er. The account number is 110, and the balance on June 1 of the current year is $185.00 Equations and inequalities ANSWERED asked 2021-07-04 ### Vince worked 18 hours last week. Part of the time he worked in a fast-food restaurant and part of the time he worked tutoring a high school student in mathematics. He was paid$7.25 per hour working in the restaurant and $15 per hour tutoring. If he earned$161.50, how many hours did he work at each job?

Algebra foundations

### The cost in dollars to produce x youth baseball caps is $$\displaystyle{C}{\left({x}\right)}={4.3}{x}+{75}$$. The revenue in dollars from sales of x caps is $$\displaystyle{R}{\left({x}\right)}={25}{x}$$. (a) Write and simplify a function P that gives profit in terms of x. (b) Find the profit if 50 caps are produced and sold.

Equations and inequalities

### Solve the equation and inequalities. $$\displaystyle{\left|{3}+{x}\right|}-{9}\leq{21}$$

Algebra foundations

### \$30,000 is invested for 3 months at an annual simple interest rate of 3%. How much interest will be earned?

Exponential models

Other

### When attempting jump shots, Myles makes 3 and misses 2 . If he makes 36 jump shots during one practice, hov many jump shots did he miss?

Transformations of functions