4. The path of a diver is modeled by the function f(x) = -9x2+9x+1 x= horizontal distance from diving board in meters y=height above the water in meters.
Use the graphing calculator to answer the following questions:
a) What height above the water is the diver at x = .2 m
b) What is the greatest height of the diver?
c) At what distance away from the diving board does the diver hit the water?

Substitute 0, 1, 2, 3 and 4 for x and make the table. c. Graph the ... c. Graph the function. ANSWER: a. y-int = –3; axis of symmetry: x = 0.75; x- coordinate ... CCSS TOOLS Use a calculator to find the maximum ... and the height h of the ball in feet at a given time t in ... height in meters above the ground can be modeled by h(t).

Step-by-step explanation:

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15