Answer:
-4
Step-by-step explanation:
The direction of the parabola depends on the sign of the leading coefficient i.e. sign of the coefficient with the squared term.
Remember these two points for vertical parabola:
- If the leading coefficient is positive the parabola will always open upwards
- If the leading coefficient is negative the parabola will always open downwards
We are given that the parabola opens down. This means that the leading coefficient must be negative. Among the given options only one option contains a negative number i.e. -4.
Therefore, the missing coefficient could be -4
Answer: The farmer has 120 birds altogether
Step-by-step explanation:
Now, since the number of chickens us equal to 4 times the number of ducks, it means that if there are 2 ducks, there are (2 × 4) chickens and if there are 5 ducks in the farm, there are (5 × 4) chickens.
Let's then denote the number of ducks by "b". So, if the number of chickens is equal to 4 times the number of ducks, then the total quantity of birds belonging to the farmer
= 4b + b
If there are 72 more chickens than ducks, the quantity of birds is:
4b - b = 72
3b = 72
b = 72/3
b = 24 ducks
Since 4b represents the quantity of chickens and b is equal to 24, then the actual quantity of chickens = 4 × 24 = 96.
Therefore, if there are 96 chickens and 24 ducks in the farm, then the actual sum of the birds belonging to the farmer is:
96 + 24
= 120 birds
The farmer has 120 birds altogether.
The advantage of the correlation measure over the covariance measure is that correlation is unit-free but covariance is not. Covariance is sensitive to the values of x and y. The correlation coefficient has <span>been normalized and is unit-free.</span>
Answer:
StartFraction 36 + 9 StartRoot 7 EndRoot + 4 StartRoot 2 EndRoot + StartRoot 14 EndRoot Over 9 EndFraction
Step-by-step explanation:
(9 + sqrt(2))/(4 - sqrt(7))
Multiply and divide by 4 + sqrt(7)
[(9 + sqrt(2))(4 + sqrt(7))]/(4² - 7)
[36 + 4sqrt(2) + 9sqrt(7) + sqrt(14)]/9
Answer:
x = 8 and line BC = 30
Step-by-step explanation:
that is the solution above
