Quadratics
Write and equation that explains how to find the nth term: 350,500,650,800
350+150x
If a function f is defined as f={(1,2) (2,3) (3,1) (4,4)} what's f(2)?
1. 1
2. 2
3. 3
4. 4
3 (3)
Classify this polynomial: 5x2+3
1. Monomial
2. Binomial
3. Trinomial
4. None of the above
2. Binomial
Write a recursive formula for the following sequence that is nor arithmetic or geometric: 1,1,2,3,5...
a1=1, an=an-1-an-2
Sara had 207 dollars to spend on 9 books. After buying them she had 18 dollars. How much did each book cost?
$21
Solve using quadratic formula
3n2-5n-8=0
11 5/6 or -10 1/6
If g(x)= -x2+7x+1 what is g(2)?
1. 11
2. 19
3. 27
4. 35
2 (19)
Simplify: 6x(2x+3)
12x2+18
Please write the first 5 terms of this sequence:
a1=3
an=(an-1)2+1
3,10,101,10202,104080805
Mike bought four new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 29 cards left. How many cards did mike start with?
54 cards
Solve by completing the square
x2-6x+7=0
t=5
The function f has a domain of {1,3,5,7} and a range of {2,4,6}. Could f be represented by {(1,2) (3,4) (5,6) (7,2)}? Explain.
Yes b/c every x-value is paired with 1 and only 1 y-value
(x+3)(x+5)
x2+8x+15
If someone buys a painting of phythagoras for $512, and the painting value increased by 13% each year. What will be the value of the painting be after 6 years? Round to the nearest dollar.
about $1066
The math department needs to buy new textbooks and laptops for the math class. The textbooks cost $116 each. The laptops cost $439 each. If the department has $6500 to spend and they buy 30 textbooks, how many laptops can they buy?
6 laptops
y=x2-6x+3 2x-y=13
Solve the system of equations algebraically
(4,-5)
x=4
y=-5
What are the zero's of the equation p(x)=x2-2x-24?
-4 and 6
Facto x4+7x2+12
(x2+3)(x2+4)
The value of v(t) of a motorcycle depreciates according to the function. V(t)=p(.08)t where p is the purchase price of the car and t is the time, in years, since the car was bought. State the percent of the value of the car decreases by each year. Justify your answer.
The motorcycle decreases by 20% each year because C1-.8=20
Marylin collects old dolls. She buys a doll for $450. Research shows the doll's value will increase y 2.5% each year. Write an equation that determines the value, V, of the doll t years after purchase. Assuming the doll's rate of appreciation remains the same, will the doll's value be doubled in 20 years? Justify your answer.
450(1.025)t
450(1.025)20
No b/c 450(1.025)t is 737 and 737 is not double 450
A ball is thrown into the air with an initial upward velocity of 48 ft/second. The height h in feet after t seconds is given by function h(t)=-16t2+48t+4
a.What height will the ball be when 2 seconds has passed?
b.In how many seconds will the ball reach it's max height?
A. 36ft
B. 1.5 seconds
A student uses the equation of a line y=-.09x+9.24 based off of a study of the amount a person sleeps as they get older. Based off the equation what does the rate of change represent in terms of the data?
The average number of hours of sleep per day decreases .09 hour per year of age
An expression of the 5th degree is written with a leading coefficient of 7 and a constant of 6. Which expression is correctly written for these conditions?
1. 6x2+x4+7
2. 7x6-6x4+5
3. 6x7-x5+5
4. 7x5+2x2+6
4(7x5+2x2+6)
A lake contains 5200 fish. Each year the population declines 30% and the lake is restored with 400 fish.
A. Let A1=5200. Find the next 3 terms of the sequence.
B. Explain why the sequence is nor arithmetic or geometric.
C. Write a recursive formula (2 equations) that summarizes the situation.
D. What happened to the sequence of numbers as n gets larger?
A. A1=5200, A2=4040, A3=3228, A4=(about)2660
B. Because you're multiplying and adding to find each term.
C. A1=5200, an=an-1(.7)+400
D. The lakes population decreases over time.
A rectangle is 3 times as long as it is wide. If the width is increased by 6 feet and the length is decreased by 3 feet, the area is doubled. Find the dimensions of the old rectangle.
W=2
L=6