Answer:
y value
Step-by-step explanation:
X= -4y let this be equation 1
x+5y=2 let this be equation 2
substitute equation 1 in 2
-4y + 5y = 2
y=2
substitute the value of y in equation 1
x= -4y
x= -4(2)
x= -8
Answer:
She consumes 30 blue ray disk and 60 DVD respectively.
Step-by-step explanation:
Consider the provided information.

Calculate marginal utility of good
Differentiate with respect of x and y.


Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10.
The ratio of marginal utility of good x to y is equal to the price ratio:

Substitute the respective values.




She has $1800 with which to spend on the two goods.
Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10. She has $1800 with which to spend on the two goods.
Therefore, 

Substitute the value of y in above equation.



Thus, 
She consumes 30 blue ray disk and 60 DVD respectively.
A) -6
b) 49
c)23
d)-47
e)73
f)20
g)131
h)-79
i)48
j) 68
Answer:
Step-by-step explanation:
In the 3rd question, we are given the equation x ^ 3 + x ^ 2 + 2x + 24. One of the factors is x + 3. Now, we can use long division to find that the equation we have left is x^2 - 2x - 8. We can just factor this to get (x - 4) (x + 2). In the 3rd question, possible factors for the coefficient are 1, 2, -1, -2. Possible factors for the constant are 1, 7, -1, -7. Now, we can try out all of them. The possible factors are 1, 7, -1, -7, 2, 14, -2, -14.