the cost of a telephone call is 5 pesos for the first three minutes and an additional of 2 pesos for each additional minute or fractional part thereof. find the cost of all call lasting: a) .5 min, b) 3 minutes, and c) 5 minutes

c(t)=5+2(t-3), t>3 

a) c(0.5)=5
b) c(3)=5
c) c(5)=5+2(5-3)=5+2(2)=9

How do you use the intermediate value theorem to show the polynomial function that has a zero in the given. [1.3, 1.9], f(x)= x^5-x^4+3x^3-4x^2-16x +15

f(1.3)=-5.112 (approx.)
f(1.9)=2.465 (approx.)
the theorem tells us that since there is a sign change for f on the interval there must be a zero on the interval

if 1/2 of an integer is added to 1/4 to the next consecutive integer the sum is 22.find the integer.

multiplying by 4...

√84 divided by 2√3

In ∆ABC, if the length of sides a, b, and c are 3.5 centimeters, 5.5 centimeters, and 6 centimeters respectively, what is m C to two decimal places?

law of cosines:

C=arccos(13/77)=80.28 degrees

Solve the inequality, if possible. Write the solution set in interval notation.

Two angles are complementary. The measure of one angle is 46 degrees more than three times the measure of the other. Find the measure of each angle.

1) 
2)  

so 


 
therefore