9514 1404 393
Answer:
k = -2
Step-by-step explanation:
The determinant can be formed by subtracting up-diagonal products from down-diagonal products:
(x)(x+y)(y) +(y)(x)(x+y) +(x+y)(y)(x) -(x+y)^3 -x^3 -y^3
= 3xy(x+y) -(x^3 +3x^2y +3xy^2 +y^3) -x^3 -y^3
= -2(x^3 +y^3)
The value of k is -2.
Answer:
Brand C
Step-by-step explanation:
Answer:
The polynomial will be
.
Step-by-step explanation:
The three degree polynomial function f(x) has zeros at x = 0 and at x = 4 having multiplicity 2.
Therefore, (x - 0) and (x - 4)² will be factors of the polynomial f(x).
Hence, the polynomial will be f(x) = Ax(x - 4)² .............. (1), where A is any constant that we have to evaluate.
Now, given that f(5) = 20
So, from the equation (1) we have
20 = A(5)(5 - 2)²
⇒ 
Therefore, the polynomial will be
(Answer)
Answer:
280 mangoes
Step-by-step explanation:
sum the parts of the ratio, 7 + 11 = 18 parts
Divide the total by 18 to find the value of one part of the ratio.
720 ÷ 18 = 40 ← value of 1 part of the ratio , then
7 × 40 = 280 ← number of mangoes
4.8 h
Say the slow hose flows x
The fast hose flows 4x
5x = 24
x = 4.8