A. True. We see this by taking the highest order term in each factor:
B. True. Again we look at the leading term's degree and coefficient. f(x) behaves like -3x⁶ when x gets large. The degree is even, so as x goes to either ± ∞, x⁶ will make it positive, but multiplying by -3 will make it negative. So on both sides f(x) approaches -∞.
C. False. f(x) = 0 only for x=0, x = 5, and x = -2.
D. False. Part of this we know from the end behavior discussed in part B. On any closed interval, every polynomial is bounded, so that for any x in [-2, 5], f(x) cannot attain every positive real number.
E. True. x = 0 is a root, so f(0) = 0 and the graph of f(x) passes through (0, 0).
F. False. (0, 2) corresponds to x = 0 and f(x) = 2. But f(0) = 0 ≠ 2.
Answer: after adding them -7r^2+12r-8
Step-by-step explanation: add them
Answer:
837.23 cm³
Step-by-step explanation:
La fórmula para el volumen de un prisma pentagonal se da como:
1/2 (5 s × a) × h
Dónde:
s = longitud lateral
a = Apotema
h = altura
De la pregunta anterior:
s = largo de lado = 6.1 cm
a = Apotema = 4.5 cm
h = Altura = 12.5 cm
Por lo tanto:
El volumen del prisma pentagonal =
1/2 (5 × 6.1 × 4.5) × 12.5
= 1/2 × 137.25 × 12.5
= 837.225 cm³
Aproximadamente = 837.23 cm³
Answer:
A = 1, B = 1
Step-by-step explanation:
From the question
(2x+1)/(x²+x) = A/x + B/(x+1)
(2x+1)/(x²+x) = [A(x+1)+(Bx)]/(x²+x)
Equation the numerator
2x+1 ≡ A(x+1) +Bx
2x+1 ≡ Ax+A+Bx
From the above,
A = 1.
And,
2x = Ax+Bx................ Equation 1
A+B = 2
Substitute the value of A into Equation 1
1+B = 2
B = 2-1
B = 1
