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 number of Instagram monthly active users (in millions) between 2013 and 2015 can be modeled approximately by the function I(x) = 0.0055x³ – 0.06x² +7.64x + 90, where x represents the number of months since January 1, 2013. How many monthly active users does this model estimate there were on September 1, 2013 (8 months after January 1, 2013)? Round to the nearest million.

The variable y is a function of the variable x. The following graph represents the relationship between x and y. 25 + 20 15 10 + 1 3 4 Which of the following equations best represents the function f(x)? flr) = -5r ©2021 Illuminate Education TM Inc.

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.

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 range of the function y = -3(x + 2) ^2 -12 is