Answer:
78 adult tickets were sold
2x + x = 234
3x = 234
x = 78
Answer: Jacob's second jump was 6 1/3 feet
Step-by-step explanation:
On his first jump, he jumped 7 2/3
feet. We would convert each mixed fraction to improper fraction
to enable easy addition and subtraction. Converting 7 2/3 feet to improper fraction, it becomes 23/3 feet.
His second jump was 1 1/3 feet shorter. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet.
Therefore, the distance that Jacob covered on his second jump would be
23/3 - 4/3 = 19/3 feet
Converting 19/3 feet back to mixed fraction, it becomes
6 1/3 feet
One form of the equation of a parabola is
y = ax² + bx + c
The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6 (1)
a - b + c = -12 (2)
9a + 3b + c = 0 (3)
Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6 (4)
9a + 3b - 6 = 0
9a + 3b = 6 (5)
Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1
The equation is
y = -x² + 5x - 6
Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
= -[ (x - 2.5)² - 2.5²] - 6
= -(x - 2.5)² + 6.25 - 6
y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.
Answer: y = -(x - 2.5)² + 0.25
∩ stands for the intersection of the two arrays think a venn diagram in this it would be three
<span>∪ stands for objects that belong to either set
</span>
It would be A <span>∪ B because that set shows objects from both sets
If i'm wrong sorry its been a while since I've practiced or learned it</span>