X^2 + X - 12 = 0
(X + 4)(X - 3) = 0
X = -4 and X = 3.
1 yd = 3 ft
This means the unit cost per feet is $4.99/3.
Let 'x' represent the length of the material in feet that you can be with $30.
(4.99/3)*x <= 30
The third term of the expansion is 6a^2b^2
<h3>How to determine the third term of the
expansion?</h3>
The binomial term is given as
(a - b)^4
The r-th term of the expansion is calculated using
r-th term = C(n, r - 1) * x^(n - r + 1) * y^(r - 1)
So, we have
3rd term = C(4, 3 - 1) * (a)^(4 - 3 + 1) * (-b)^(3-1)
Evaluate the sum and the difference
3rd term = C(4, 2) * (a)^2 * (-b)^2
Evaluate the exponents
3rd term = C(4, 2) * a^2b^2
Evaluate the combination expression
3rd term = 6 * a^2b^2
Evaluate the product
3rd term = 6a^2b^2
Hence, the third term of the expansion is 6a^2b^2
Read more about binomial expansion at
brainly.com/question/13602562
#SPJ1
Answer:
$7.75
Step-by-step explanation:
Given: Adults = 4, Children = 5, All worth = $15, Total cost = $71, Each child's ticket = $5
To find: How much the adult tickets are
Solution: Use the 5 tickets at $5 to get $25
Add the $15 for concessions to reach $40
25 + 15 = 40
Subtract $40 from the 71 spent to get $31
71 - 40 = 31
Now, divide the 31 by 4 for the number of adults which equals $7.75
31 ÷ 4 = 7.75
So, the cost of the adults' tickets is $7.75
<h3>⚘Refer to the attachment!!</h3>
