Answer:
1.The ratio of dogs to cats is 3 to 4
2. For every 3 dogs there are 4 cats.
Step-by-step explanation:
I think (7,10)
I hope that I helped ;D
Answer:
900 g
Step-by-step explanation:
let e be extension and w be weight
given e varies directly as w then the equation relating them is
e = kw ← k is the constant of variation
to find k use the condition w = 150 , e = 2.9 , then
2.9 = 150k ( divide both sides by 150 )
= k , that is
k = 
e =
w ← equation of variation
when e = 17.4 , then
17.4 =
w ( multiply both sides by 1500 )
26100 = 29w ( divide both sides by 29 )
900 = w
1a) Possible rational roots will be of the form
±{divisor of 10}/{divisor of 4}
Divisors of 10 are {1, 2, 5, 10}
Divisors of 4 are {1, 2, 4}
Then possible rational roots are
{±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10}
1b) Your answer is correct.
2) One additional root will be the conjuate of the given complex root.
5 -3i
3) If one root is 5 -√7, another will be 5 +√7. Then your polynomial is
P(x) = (x -(5 -√7))*(x -(5 +√7)) = (x -5)^2 -(√7)^2
P(x) = x^2 -10x +18