A Pascal triangle is the triangular way of expanding a binomial. So the best way in expanding that function is thru Binomial Theorem and the expanded for of it is 8x^3+48x^2+98x+64
Answer:
0.8888888888888
Step-by-step explanation:
Answer:
<u>tulips bulbs cost $5; and daffodil bulbs costs $8 </u>
Step-by-step explanation:
Variables can be used to create equations and set up a system of equations. I used the following variables:
Tulip bulbs= t
Daffodil bulbs= d
We need create two equations using the total sales, and amount of each item sold. Using the variables I chose I set up an equation representing the sales of each girl.
Sumalee sold 6 tulip bulbs and 6 daffodil bulbs for $78.
6t+ 6d= 78
Jennifer sold 6 tulip bulbs and 4 daffodil bulbs for $62.
6t+ 4d= 62
Using the equations we can set up a system of equations. To solve the system you can use either the substitution method or the elimination method.
(substitution)
Isolate one of the variables in the first equation.
6t+ 6d-6t = 78-6t
6d/ 6= (-6t+78)/6
d= -t+13
Substitute d= -t+13 into equation 2 replacing variable d. Using the order of operations solve for t.
6t+ 4(-t+13) = 62
6t- 4t+52 = 62
2t = 10
<u>t= 5</u>
Substituting t=5 for the value of t in equation 1, and solve of d.
6(5)+ 6d= 78
30+ 6d= 78
6d=48
<u>d=8</u>
<u>This means one package of tulips bulbs cost $5, and one bag of daffodil bulbs costs $8 </u>
It is -11x + 24 because you multiply the numbers in the parentheses by 3 then collect like terms 10x +24 - 21x then you do 10x minus 24x and you get -11x+24
A) c + t = 60
B) 3c = 7t
Multiplying A) by -3
A) -3c + -3t = -180 then adding this to b
B) 3c = 7t
180 = 10t
trucks = 18
cars = 42
