Given that,
The given expression is :
To find,
The value of the above expression when x = 2 and y = 4
Solution,
We have,
Put x = 2 and y = 4 in the above expression.
So, the value of the above expression is 18.
1) 8 turning points means 8 vertices, which implies minimum degree 9 (when the polynomial is x^2 the degree is 2 and it has one turning point).
2) 5 turning points means minimum degree 6, 3 zeros means minimum degree 3, the multiplication implies minimum degree 6+3 = 9
3) 5 times crossing the x - axis is 5 zeros, then the minimum degree is 5.
4) f(x)=x^14 + x^6 + x^9 + x^3,maximum number of turning points 14 -1 = 3 (remember one less than the grade is the maximum posible number of turning points, but it could be less, for example f(x) = x^2 has one turning point).
Answer:
"All real numbers that are negative three or greater" because ≥ means 'greater than or equal to' in this case.
Step-by-step explanation:
9514 1404 393
Answer:
a) weights: 0.32688, 0.18402, 0.35593, 0.13317
b) geometric average return: 5.42%
Step-by-step explanation:
The total of amounts invested is ...
13500 +7600 +14700 +5500 = 41300
The respective weights for the weighted average are these values divided by the total. For example, 13500/41300 ≈ 0.32688. The remaining weight values are shown in the attached spreadsheet.
The weighted geometric average return is 1 less than the product of 1 more than the individual returns raised to the power of the weight*. That is, ...
weighted average return
= (1.097^0.327)(1.124^0.184)(0.945^0.356)(1.172^0.133) -1
= 1.0542 -1 = 5.42%
_____
* Technically, the weighted geometric average is root of the products of the values to the power of the weight. The root index is the sum of the weights. Here, the sum of weights is 1, so the root is simply the product itself.