Answer:
x = -5/21
Step-by-step explanation:
Step 1: Write equation
2(12x - 1) = (21x - 49)/7
Step 2: Solve for <em>x</em>
- Multiply both sides by 7: 14(12x - 1) = 21x - 49
- Distribute 14: 168x - 14 = 21x - 49
- Subtract 21x on both sides: 147x - 14 = -49
- Add 14 to both sides: 147x = -35
- Divide both sides by 147: x = -5/21
Answer:
3 lines of symmetry
Step-by-step explanation:
the lines go through the vertices of the triangle
the lines are perpendicular because they're crossing each other
The true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.
<h3>How to explain the cost?</h3>
In this situation, the function is f (t), when t is a value between 0 and 30. The cost is $0 for the first 30 minutes
When t is a value between 30 and 90, the cost is US$ 5 if the connection takes between 30 and 90 minutes.
Here, the true statement about the Internet connection cost is D. Any amount of time over an hour and a half would cost $10.
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For this case we have the following function:
f (x) = 7,400,000 (1,054) ^ x
Where,
x represents time in years.
Substituting f (x) = 15000000 we have:
15000000 = 7,400,000 (1,054) ^ x
Clearing x we have:
(1,054) ^ x = (15000000) / (7400000)
log1.054 ((1.054) ^ x) = log1.054 ((15000000) / (7400000))
x = log1.054 ((15000000) / (7400000))
x = 13.4 years
Rounding to the nearest year:
x = 14 years
Answer:
the population will reach 15,000,000 in 2014.
