Factor by groupins
x^2 + xy - 2x - 2y
= x(x + y) - 2(x + y)
= (x - 2(x + y)
Subs x = -5 into f(x) = 4
f(-5) = 4 (answer)
Answer:
He has 30 penguins and 10 cats.
Step-by-step explanation:
Let's define the variables:
C = number of cats.
P = number of penguins.
We know that he has a total of 40 pets, then:
C + P = 40
We also know that the total heads (40 heads, each animal has one) plus the number of wings (P*2, each penguin has 2) is equal to the number of feet of his pets (4*C + 2*P, because each cat has 4 paws, and each penguin has 2)
Then we have the equation:
40 + 2*P = 4*C + 2*P
Notice that in the second equation we have the term 2*P in both sides of the equation, then we can just subtract 2*P in both sides to get:
(40 + 2*P) - 2*P = 4*C + 2*P - 2*P
40 = 4*C
Now with this, we can find the value of C.
40/4 = C = 10
Then he has 10 cats.
Now we can replace this in the equation:
P + C = 40
to find the value of P
P + 10 = 40
P = 40 - 10 = 30
P = 30
He has 30 penguins.
Answer:
3 3/4 cups of sugar
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
FV = P (1 + r/m)^mn
FV = Future value
P = Present value
R = interest rate
N = number of years
m = number of compounding
a. 6000x (1 + 0.04/12)^24 = 6498.86
b. . 6000x (1 + 0.03/12)^36 =6564.31
c. . 6000x (1 + 0.01/12)^48 = 6244.76
d. . 6000x (1 + 0.05/12)^60 =6630.47