Factor:
x2+5x+6
Given h(t)=-16t2+42t represents the height (in feet) of a projectile launched after t seconds.
What was the initial height of the projectile?
0ft
Simplify
(3xy2)0
1
State the degree and leading coefficient:
4x3-2x2-x6+4
degree: 6, lead coeff: -1
C(x)=13x+4800
R(x)=35x
P(x)=22x-4800
How much profit does the business make if they produce and sell 250items?
$700
Solve:
x2-4x-12=0
x=6,-2
C(x)=(2x-5)1/2 represents the number of gallons of milk consumed by the average American household each month, given the number of people in the household, x.
How many gallons are used each month in a house with 5 people in it?
2.2 gallons
Simplify
(2x)2(2x)3
32x5
Is the following a polynomial (yes/no)?
3x2-6x-4x5-3x-1
C(x)=13x+4800
R(x)=35x
P(x)=22x-4800
How many items must be sold to break even?
218.2 items (218 items realistically)
Find the Vertex coordinate:
f(x)=3x2-12x+11
(2,-1)
The volume of a box with a square base is given by
V(x)=x3+8x2+16x, where x represents the height (in inches) of the box.
How much volume (in3) would a box that is 2ft tall hold?
18,816in3
Solve:
2(3+x)4=32
-1
If a polynomial graph has 6 turning points and 3 x-intercepts, with ends going in opposite direction, what possible degree could it be?
7
C(x)=13x+4800
R(x)=-0.2x2+140x
P(x)=-0.2x2+127x-4800
How many items should be sold to make $20,000 in revenue?
200 items or 500 items
Solve:
(x+2)(x-3)=-4
x=-1,2
Given h(t)=-16t2+42t represents the height (in feet) of a projectile launched after t seconds.
What is the maximum height of the projectile?
27.6ft
(2x-1x3)-2(x1x-5)-1
1/4
Find the relative maximum value of the function:
V(x)=x(8-x)(10-x)
105.028
C(x)=13x+4800
R(x)=-0.2x2+140x
P(x)=-0.2x2+127x-4800
What is the company's maximum profit?
$15,361.25
Write in standard form:
3x2-12x+11
3(x-2)2-1
An arrow that is fired up in the air follows the model:
A(t)=-16t2+308t+22 where A(t) represents the height of the arrow after t seconds.
When does the arrow reach a height of 10ft?
19.289seconds
(32x10)2/5(8x12)-1/3
2
Is the following a polynomial? If not, why? If so, what is it's degree and leading coefficient?
f(x)=2
Yes, it is a constant polynomial and has a degree of 0 (zero) with a leading coefficient of 2.
f(x)=2x0
C(x)=13x+4800
R(x)=-0.2x2+140x
P(x)=-0.2x2+127x-4800
How many items must be sold for the company's revenue to overcome their costs?
40 items or 595 items