System of equations
Solve the following system of equations:
| y + 4x | = | 8 | |
| 5x + 2y | = | 13 |
(1,4)
Find function of the given data
X|F (x)
0|5
1|3
2|9
3|23
4|45
5|75
F (x)=4x^2-6x+5
A history teacher wanted 8 different power point slides about World War 2. In how many ways could she show these slides?
4,320 ways
Solve the following system of equations:
| 2x + 2y | = | 6 | |
| 12 | = | 2y - x |
(-2,5)
Find the function
X|F (x)
0|8
1|16
2|30
3|50
4|76
5|108
F (x)=3x^2+5x+8
How many different rankings would be possible if there were 10 activities to rank from 1st to 3rd?
720 ways
Solve the following system of equations:
| 4y + 2x | = | 5 | |
| x | = | 8 - 2y |
No solution, this equation is inconsistent.
Find the function
X|F (x)
1|3
2|6
3|12
4|21
5|33
6|48
F (x)=1.5x+3/2x+0
Suppose that keys for a certain type of car all have 6 selections on them. Each of these selections can be cut into 4 different patterns. How many different keys can be made in this way?
4,096 ways
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
1500 children, 700 adults
Suppose that over a school vacation a certain family rented 10 DVD movies. However, they realized that they only had time to watch 4 of those. They had to decide which one to watch first ( 1st,2nd,3rd,4th) in how many ways could they do this?
5,040 ways
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totalled $487. The second order was for 6 bushes and 2 trees, and totalled $232. The bills do not list the per-item price. What were the costs of one bush and of one tree?
bushes: $23 each
trees: $47 each