Temperature and equations
The change in temperature in a certain chemical reaction is given by the equation:T(x)=-0.324x^3+10.3x^2-3.23 x is the length of elapsed time since the start of the reaction and T(x) is...
The change in temperature in a certain chemical reaction is given by the equation:T(x)=-0.324x^3+10.3x^2-3.23 x is the length of elapsed time since the start of the reaction and T(x) is...
Find the slope-intercept equation of the line perpendicular to the line x - 3y = 4 and containing the point (6,-9). Explain/show work.
Solve (x^2-9)/x<=0 and write interval notation for the solution set. Show careful algebraic work/explanation.
For the following if the function is one to one, find the formula for the inverse and show all work. f(x)=5x+8
For f (x) = x^4 – 3x^2 − 8, use the Intermediate Value Theorem to determine which interval must contain a zero of f. Work/Explanation required 4. _______ A. Between 0 and 1 B. Between...
Find all of the zeros of the polynomial function and state the multiplicity of each. f (x) = x^3(x^2 – 81) Show work/Explanation
A farmer is planning to put in a garden next to his barn. He is planning to fence in the garden on three sides (the barn will make the fourth side). He has 100 feet of fencing to use. Find an equation...
Let f(x)=x^(3 )-7x. Determine if this function is even, odd or neither. Explain/Show work.
State the domain of the quotient f / g where f(x)=x-3 and g(x)=√x-1 Explain and show work
List the critical values of the related function. Then solve the inequality and show work. 5x <0 x + &...
For the following if the function is one to one, find the formula for the inverse and show all work. a) f(x)=7-x b) f(x)= 5x+8
Solve the absolute value inequality and write interval notation for the solution set. (show all work) a) | 5 - 6x | ≥ 7 b) | 6x – 5 | < 9 &nbs...
Solve the inequality x(x - 3)(x +5) < 0 and express the solution set in interval notation. Show Work.
Ace Car Rental Company rents a car for $50 per day and $0.25 per mile driven. Laura is a customer who wants to keep her car rental bill at $100 or less. At most how many miles can she drive in one...
please explain
One number is 6 less than another. The product of the numbers is 72. Find the numbers. show all work.
In 2009, the traffic fatality rate in the United States was the lowest since the federal government bean records in 1966. There were 43,510 highway deaths in 2005. This number decreased to 33,963...
Let f(x)=e3x (a.) Find the inverse function of f. Show work. (b.) What is the domain of f ? What is the domain of the inverse function?
A jumbo bag of potato chips contains 18 ounces of chips. The recommended serving is 0.75 ounce. How many servings are in the jumbo bag ?
Preform the indicated operation. Simplify if possible 3 - 7 x^2-4 x+2