Math final review questions: 3.1-3.7

graph the function f(x)=3x² +15x+17 then state the domain and range.

Vertex: (-5/2,-7/4) D is (infinite) R is [-7/4, infinity)

When priced at $18 each, a toy has annual sales of 3000 units. The manufacturer estimated for every $2 increase in cost, sales will decrease by 200 units. Write a quadratic equation.

-400x²+2400x+54000

When priced at $18 each, a toy has annual sales of 3000 units. The manufacturer estimated for every $2 increase in cost, sales will decrease by 200 units. What price should they charge to maximize this revenue?

They should increase the price 3 times leading to a charge of $24.00 and maximizing the revenue.

Use a table to solve the equation 3x²-15x+17=0

X is between 1 and 2, x is between 3 and 4

Find the average rate of change in the daily number of customers in 10 years. The points are (0,32) and (10,235).

20.3

Solve by factoring. 5r²+22r-38=7+6r

{-5,9/5}

If a toy rocket is launched vertically upward from ground level with an initial upward velocity of 128ft/sec. then its height (h) after (t) second is given by the equation h(t)=-16t²+128t. How long will it take for the rocket to hit the ground?

It will take the rocket 8 seconds.

Solve 5x²-32x+8=0 by completing the square.

x=16/5±(6√6)/5

Write y=-3x²-24x+8 in vertex form by completing the square.

y=-3(x+4)²+56

Solve 6x²-17x+14=0

x=(17±i√47)/(12)

evaluate the discriminant then describe the number and types of answers. -10x²-11x+6=0

361 and 2 rational solutions

evaluate the discriminant then describe the number and types of answers. 4x²-4x+11=0

-160<0 and two imaginary solutions

Use a system of equations to solve 2x²-6x+4=-x²+3x-2 by graphing

(1,0) and (2,0)sol