Solve x2 14x = −24 by completing the square. what is the solution set of the equation?
2 answers:
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y - 2483 = 24.6(x - 2)
Let x represent the number of years after 2010
Let y represents the number of restaurants in x years
2012 is 2 years after 2010
2017 is 7 years after 2010
Number of restaurants owned by RESTAURANTS in 2012 = 2483
This can be represented in coordinate form as (2, 2483)
Number of restaurants owned by RESTAURANTS in 2017 = 2606
This can be represented in coordinate form as (7, 2606)
The equation of a line in point-slope form is:
where m represents this slope, and is calculated as:
Substitute x₁ = 2, y₁ = 2483, and m = 24.6 into the point-slope equation
The equation in point-slope form becomes:
y - 2483 = 24.6(x - 2)
Learn more here: brainly.com/question/6497976
Answer:
a)
b) Wind capacity will pass 600 gigawatts during the year 2018
Step-by-step explanation:
The world wind energy generating capacity can be modeled by the following function
In which W(t) is the wind energy generating capacity in t years after 2014, W(0) is the capacity in 2014 and r is the growth rate, as a decimal.
371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8%.
This means that
(a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts
(b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?
This is t years after the end of 2014, in which t found when W(t) = 600. So
We have that:
So we apply log to both sides of the equality
It will happen 3.1 years after the end of 2014, so during the year of 2018.
Answer:
(a) 0.25
(b) 0.944
(c) 0.444
(d) 0.167
Step-by-step explanation:
There are six possible outcomes for each die, which means that the number of possible outcomes is:
(a) In order for each die to show four or more spots they will both have to land on a four, five or six. The probability of this happening is:
(b) There are only two possible outcomes for which the sum is three (1 and 2, or 2 and 1). The probability of the sum NOT being three is:
(c) If neither a one or a six must appear, then there are 4 possible outcomes for each die, the probability is:
(d) For each one of the six possible numbers on the first die, there is only one on the second die for which the sum of the spots is 7, totaling six possible ways to sum 7: