Sunday, June 7, 2015

Ann runs at a pace of 6 miles per hour. How many miles can she run in 30 minutes?

Ann runs at a pace of 6 miles per hour. How many miles can she run in 30 minutes?

Solution:

This is a proportion:


Solve the inequality and express the solution in interval form.





Solution:

For convenience we'll compare an appropriate expression to 0 instead of 1. Then we can find x-values of interest to determine where to shade (i.e. where the inequality is true).




 





















This graph shows our solution another way. Notice that we graph both sides of the inequality. Then we can actually see when the left side is greater...








Find the exact value of the remaining trigonometric functions if cosA= -3/5 and sinA < 0


Find the 11th term of the sequence 1,2,4,8,…

These terms are all powers of 2, so we can write:


Hyperbolic functions: find the inverse of arcsinh(x)


Factor 7x2-16x+4


Friday, June 5, 2015