1. Gilberto plants 2 trees in his front yard the apple tree is 3 feet tall and will grow 20 percent each day the olive tree is two feet tall and will grow 30 percent taller each year create an equation that models each tree's height per year how many years will it take for the trees to reach the same height. 5 years 7 years 42 years 8 years
2. Samantha and Isaac are playing racquetball samantha hits the ball sending it onto a trajectory modeled by y= -3 |x-4|+20 where y is the height reached by the ball in feet after x milliseconds in a desperate attempt to keep the ball in the air Issac throws his racquet toward it at a trajectory modeled by y=1/3x+4 when does his racquet hit the ball 3.5 1.5 8.4 6.8
3. Kelly and eddie are each saving money for a motorcycle the total amount of money in dollars that kelly will save over x weeks is modeled by the function f(x)=60+50x the total amount of money in dollars that eddie will save over x weeks is modeled by the function g(x) =2^x gragh the functions in the same coordinate plane to determine when f(x)=g(x) after how many weeks rounded to the nearest integer will they have saved the same amount of money. 510 60 1 9 weeks
4Jada dives off a cliff into the ocean. The vertical path of her dive, in feet, is modeled by the function f(x)=−0.1(x−3)2+10 , where x is the horizontal distance and f(x) is the vertical distance. To capture her experience, Jada asks a friend to record her on a video camera. The camera’s view is modeled by the function g(x)=0.67x+3 , where x is the horizontal distance, in feet, and g(x) is the vertical distance, in feet, that the camera can capture. Graph the equations to determine whether the camera will be able to capture Jada’s jump before she hits the water. If so, how far above the surface of the water, to the nearest integer, will the camera capture her jump?
A. the camera will not capture her jump
B. 3 feet
C. 7 feet
D. 8 feet
5. which solution interprets the solution to the equation
x^2+5x+6=-3x^2-2x
an input of 0 will yield an output of 0 on both sides of the equation
an input of -3 will yield an output of 0 on both sides of the equation
there are no input values that would yield the same output value on both sides of the equation
an output of -2 will yield an output of 0 on both sides of the equation
The correct solution is:
an input of -3 will yield an output of 0 on both sides of the equation.