Answer:
4 ft
7.2 ft
20 ft
Step-by-step explanation:
When the balloon is shot, x = 0.
y = -0.05(0)² + 0.8(0) + 4
y = 4
The balloon reaches the highest point at the vertex of the parabola.
x = -b / 2a
x = -0.8 / (2 × -0.05)
x = 8
y = -0.05(8)² + 0.8(8) + 4
y = 7.2
When the balloon lands, y = 0.
0 = -0.05x² + 0.8x + 4
0 = x² − 16x − 80
0 = (x + 4) (x − 20)
x = -4 or 20
Since x > 0, x = 20.
Answer:
Simplify 3(x+1)−5.
3x−2=3x−2
Move all terms containing x to the left side of the equation.
−2=−2 Since −2=−2 , the equation will always be true for any value of x
All real numbers
The result can be shown in multiple forms.
All real numbers
Interval Notation:
(−∞,∞)
Option2 : infinite solutions
Step-by-step explanation:
There are 6 letters in the word "autumn" so
6! = 6*5*4*3*2*1 = 720
represents the number of ways to arrange the letters (order matters)
Note how there are two letter "u"s here which can't be told apart. If we could tell them apart, then the answer would be 720. However, we can't tell them apart. So we're doubly counting things. To undo this, we divide by 2
720/2 = 360
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Final Answer: 360
Answer:
Answer: log(81)
Decimal Form: 1.90848501
Step-by-step explanation:
Answer:
3.53 km
Step-by-step explanation:
Let third day be X:
Second day: X - 0.98
First day: X - 0.98 + 1.37 = X + 0.39
X + X - 0.98 + X + 0.39 = 10
3X = 10.59
X = 3.53 kn