500 adult tickets and 350 children tickets.
Check :
500A($1.5)=$750
350C($1)=$350
$750 + $350 = $1100 AND 500 + 350 = 850 tickets
Answer: x = 4 and x = -3/2
Procedure:
1) Given: 2x^2 - 5x - 12 = 0
2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0
3) Rearrange: (2x)^2 -5(2x) - 24 = 0
4) Notice that the common factor is (2x)
5) Set the parenthesis with the common factor inside:
(2x ) (2x ) =0
6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)
(2x - )(2x + ) = 0
7) find two numbers that sum up - 5x and its product is -24.
- 8 + 3 = - 5
(-8)(+3) = -24
=> the numbers in the factors are -8 and +3
(2x - 8) (2x + 3) = 0
That is the factored equation. Now you can solve
8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4
b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2
Answer: the two solutions are x = 4 and x = -3/2
The answer should be:
(x-4)^2 + (y+3)^2 = 6.25
hope this helped!
Answer: $12.54
Step-by-step explanation:
7 times $4.32 = $30.24
14 times $1.23 = $17.22
add both sums which = $47.46
now subtract $60.00 by $47.46
now equals $12.54 HOPE THIS HELPED!!
