Consider the functions f (x) = V +4 and g (x) = 3z- 2. Which is the approximate solution of the equation %3D f(x) =g(x)? O x = 0.87 O x = 1.13 O x = 2.00 Ox = 2.30 Calculator

Determine whether the following algebraic equationcan be written as a linear function. 2x+3y=7

A archer releases an arrow with an initial velocity of 30 feet per second at a height of 3 feet. The path the arrow takes can be modeled using the function f(x)=−16x2+30x+3, where f(x) represents the height, in feet, of the arrow and x represents the time the arrow travels in seconds. How many seconds until the arrow hits the ground? Round your answer to the nearest hundredth if necessary. Do not include units in your answer.

The population density D of the United States in people per square mile during year x from 1900 to 2000 can be approximated by the formula D(x) = 0.58x1080. Estimate when the density varied between 50 and 75 people per square mile.

Find f. = 6 + 6x + 36x², f(0) = 3, f(1) f(1) = 14 f"(x) =

The equation M(x,y) = 73 +0.8x -0.9y gives the mileage (in mpg) of a new car as a function of tire pressure x (in psi) and speed y (in mph). Find M(32,45) (include the appropriate units) and explain what it means. M(32,45)= (Type an integer or a decimal.) Explain what the answer in the previous step means. Select the correct choice below and fill in the answer boxes within your choice. (Type integers or decimals.) A. Increasing the tire pressure by one psi and maintaining a speed of B. Increasing the speed by one mph and maintaining a tire pressure of C. Mileage is mpg at a tire pressure of psi and a speed of mph. D. Increasing the speed by one mph and maintaining a tire pressure of O E. Increasing the tire pressure by one psi and maintaining a speed of mph will increase mileage by psi will increase mileage by psi will increase mileage by psi will decrease mileage by mpg. mpg. mpg. mpg.

The population density of the State A has been steadily increasing since 2000. The population density of the State A can be estimated using the equation P=0.82x+76.5, where P is the population density, measured in people per square mile, and x is the number of years since 2000. Use x=1 for 2001, x=2 for 2002, and so on. If the population density continues to increase at its current rate, a. Determine the population density of the State A in 2009 b. During what year will the population density of the State A reach 110 people per square mile?

The average monthly bill for wireless telephone subscribers from 1985 to 2008 can be modeled by B(x) = -1.263x + 95.942, where x is the number of years after 1980. If this model remains valid, in what year will the average monthly bill be $46.69? The average monthly wireless phone bill would be $46.69 in the year (Do not round until the final answer. Then round to the nearest whole number as needed.)