Algebra Answers

The difference between two positive integers is 40. One integer is three times as great as the other. Find the integers.

Two buses left a downtown terminal at the same time, traveling in opposite directions. One has a speed of 10 mph more than the other. Twelve minutes (1/5 hr) later, they were 12 miles apart. What were their speeds?

a piece of equipment was purchased for $10,000 and is assumed to have salvage value of $3000 in 10 years. assuming the relationship between the value and time is linearly related, what is the average rate of change in the value over the 10 year period? interpret the rate of change as it relates to the value over time and state your answer in sentence form using the appropriate units.

The International Silver Strings Submarine Band holds a bake sale each year to fund their trip to the National Sasquatch Convention. It has been determined that the cost in dollars of baking x cookies is
C(x) = 0.5x + 19
and that the demand function for their cookies is
p = 12 − 0.05x.
How many cookies should they bake in order to maximize their profit?

Use the Intermediate Value Theorem to find intervals of length 1 which contain the real zeros of
f(x) = x3 − 9x + 5.

this question I really need help with "Cindy's bed needs sheets that are exactly 96 inches. the sheets in the store are 7.5 feet will they fit the bed?"

The international silver strings submarine band holds a bake sale each year to fund their trip to the national sasquatch convention. It has been determined that the cost in dollars of baking x cookies is C(x)=0.5x=22 and the demand function for their cookies is p=15-0.05x. how many cookies should they bake in order to maximize their profit?

How can you get 5 from 3 3 3 3 3 using Parentheses,multiplication,division and addition

Consider the following quadratic function.
f(x) = −4(x + 1)2 + 5

Find the x- and y-intercepts of the graph, if any exist. (If an answer does not exist, enter DNE.)
x-intercept
(x, y) =



(smaller x-value)
x-intercept
(x, y) =



(larger x-value)
y-intercept
(x, y) =

Convert the function into standard form.
f(x) =


Graph the quadratic function.



Identify the vertex and the axis of symmetry.
vertex
(x, y) =



axis of symmetry

Consider the following quadratic function.
f(x) = x2 − 6x − 7

Find the x- and y-intercepts of the graph, if any exist. (If an answer does not exist, enter DNE.)
x-intercept (x, y) = (larger x value)
x-intercept (x,y)= (smaller x value)

Convert the function into standard form.
f(x) =

Graph the quadratic function.


Identify the vertex and the axis of symmetry.
vertex
(x, y) =



axis of symmetry