math unit test 24 questions thankms

Graph the function and identify the domain and range.

(1 point)

domain: (–∞, ∞)
range: [0, ∞)
domain: (–∞, ∞)
range: (–∞, 0]
domain: (–∞, ∞)
range: (–∞, 0]
domain: (–∞, ∞)
range: [0, ∞)

How is the graph of y equals negative 6x squared plus 4. different from the graph of y equals negative 6x squared. ?

(1 point)

It is shifted 4 units to the left.
It is shifted 4 units to the right.
It is shifted 4 units up.
It is shifted 4 units down.

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y equals negative 0.06x squared plus 9.6x plus 5.4 where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground.

How far horizontally from its starting point will the rocket land? Round your answer to the nearest hundredth.

(1 point)

4.30 m
160.56 m
160.23 m
13.94 m

Landon is standing in a hole that is 6.5 m deep. He throws a rock, and it goes up into the air, out of the hole, and then lands on the ground above. The path of the rock can be modeled by the equation y equals negative 0.05x squared plus 4.5x minus 6.5 , where x is the horizontal distance of the rock, in meters, from Landon and y is the height, in meters, of the rock above the ground. How far horizontally from Landon will the rock land? Round your answer to the nearest hundredth of a meter.

(1 point)

82.03 m
6.50 m
90.00 m
88.53 m

How many real number solutions does the equation have?

(1 point)

no solutions
one solution
two solutions
infinitely many solutions

How many real-number solutions does the equation have?

(1 point)

two solutions
one solution
no solutions
infinitely many solutions

Graph the set of points. Which model is most appropriate for the set?

(negative 6, 0), (negative 4, 2), (negative 3, 3), (2, 8)

(1 point)

What type of equation will best fit the data below?

a coordinate plane with points plotted that form an upside-down U shape.

(1 point)

linear
quadratic
exponential

Find the solutions to the system.

(1 point)

no solutions

10.

Find the solutions to the system.

(1 point)

no solutions

11.

If an object is dropped from a height of 200 feet, the function h of t equals negative 16t squared plus 200 gives the height of the object after t seconds. Approximately, when will the object hit the ground?

(1 point)

200.00 seconds
184.00 seconds
3.54 seconds
0.78 seconds

12.

A ball is thrown into the air with an upward velocity of 20 feet per second. Its height, h, in feet after t seconds is given by the function h of t equals negative 16t squared plus 20t plus 2 . How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary.

(1 point)

Reaches a maximum height of 8.25 feet after 1.25 seconds.
Reaches a maximum height of 8.25 feet after 0.63 seconds.
Reaches a maximum height of 0.16 feet after 1.34 seconds.
Reaches a maximum height of 0.32 feet after 1.34 seconds.

13.

A catapult launches a boulder with an upward velocity of 184 feet per second. The height of the boulder, (h), in feet after t seconds is given by the function h of t equals negative 16t squared plus 184t plus 20 . How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary.

(1 point)

Reaches a maximum height of 11.6 feet after 5.75 seconds.
Reaches a maximum height of 549 feet after 11.5 seconds.
Reaches a maximum height of 549 feet after 5.75 seconds.
Reaches a maximum height of 23.2 feet after 11.6 seconds.

14.

Use the graph of f (x) to find the solutions to the equation f (x) = 0.

A coordinate plane with parabola opening up. The y-intercept is negative 12 and the x-intercepts are 2 and negative 6.

(1 point)

two solutions: x =
two solutions: x =
one solution: x =
no solutions

15.

What are the solutions of the equation 2x squared equals 8 ? Use a graph of a related function whose roots answer the question.

(1 point)

16.

Solve the equation using the Zero Product Property.

The quantity 3x plus 1 times the quantity x minus 5 equals 0.

(1 point)

and 5
and –5
and 5
and –5

17.

What are the solutions of the equation?

z squared minus 6z minus 27 equals 0.

(1 point)

3, 9

18.

A community group is planning the expansion of a square flower garden in a city park. If each side of the original garden is increased by 3 meters, the new total area of the garden will be 225 square meters. Find the length of each side of the original garden.

(1 point)