Identify and sum up the x^2 terms: Result: 3x^2
Next, ident. and sum up the x terms: Result: (1/3 + 2) = (7/3)x
Last, ident. and sum up the const. terms: Result: -2 - 6 = -8
The sum of these two functions is 3x^2 + (7/3)x - 8.
You would substitute the given value of “y” into the equation of -14x+y=16
-14x+5x-2=16
Then you would solve for “x”
x=2
You would then substitute the value of “x” into the equation to solve for “y”
y=5(2)-2
Which would then give you a value for “y”
y=12
So the answer is (2,12)
Answer:
680,000
Step-by-step explanation:
Population before growing rate: 400,000
Growing rate: 7%
Duration: 10 years
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First, you will have to calculate how much does the population increase each year with the said rate, so you will have to multiply the rate by the population to determine that amount.
400,000 x 7/100 = 28,000
So the population increases by 28,000 each year, now you will have to multiply that amount by the amount of years to determine how much the amount of increase.
28,000 x 10 = 280,000
This means that the population has increased by 280,000 in these 10 years. Finally, you will have to add that number to the population amount to get the answer.
400,000 + 280,000 = 680,000
9514 1404 393
Answer:
- Angle 1 = 139°
- Angle 2 = 41°
- x = 29; exterior angle = 131°
Step-by-step explanation:
These problems let you make use of the fact that the sum of the remote interior angles is equal to the exterior angle.
__
1. 53° +86° = ∠1
139° = ∠1
__
2. ∠2 +92° = 133°
∠2 = 133° -92°
∠2 = 41°
__
3. (x +9)° +93° = (4x+15)°
87 = 3x . . . . . . . . . . . . . . . . subtract x+15°
29 = x . . . . . . . divide by 3
The exterior angle is ...
(4x +15)° = (4·29 +15)° = 131° . . . exterior angle
Recall that for
, i.e. a random variable
following a binomial distribution over
trials and with probability parameter
,
So you have
The expected value of
is simply
, while the standard deviation is
. In this case, they are
and
, respectively.
