Answer:
The numbers in the sequence are perfect squares
next number is 9
11. x² - 7x = 0
x(x) - x(7) = 0
x(x - 7) = 0
x = 0 or x - 7 = 0
+ 7 + 7
x = 7
Solution Set: {0, 7}
12. 3x² - 4x = 20x + 27
+ 4x + 4x
3x² = 24x + 27
3x² - 24x - 27 = 0
x = -(-24) ± √((-24)² - 4(3)(-27))
2(3)
x = 24 ± √(576 + 324)
6
x = 24 ± √(900)
6
x = 24 ± 30
6
x = 4 ± 5
x = 4 + 5 or x = 4 - 5
x = 9 or x = -1
Solution Set: {9, -1}
I believe the answer is 3240^9/2 g^33/8
Answer:
admission price of each parent = $7.5
admission price of each child = $15
Step-by-step explanation:
x = admission price of each parent
y = admission price of each child
Robinson family:
2x + 4y = 75
Moore family:
2x + 3y = 60
2x + 4y = 75 (1)
2x + 3y = 60 (2)
Subtract (2) from (1)
4y - 3y = 75 - 60
y = 15
Substitute y = 15 into (1)
2x + 4y = 75
2x + 4(15) = 75
2x + 60 = 75
2x = 75 - 60
2x = 15
x = 15/2
x = 7.5
Answer:
B. EF
Step-by-step explanation:
The triangle above is a right triangle, these consist of 2 legs and a hypotenuse. The hypotenuse is always the longest side so EF is the answer.