By long division.Feel free to ask me if you don't know: )
Answer:
Step-by-step explanation:
Sum = -14
Product = - 32
So, the factors = -16 , 2
When we add -16 +2 = -12 and when we multiply it is -32
w⁴ - 14w² - 32 = w⁴ - 16w² + 2w² - 16 * 2
= w²(w² - 16) + 2(w² - 16)
= (w² - 16)(w² + 2)
= (w² - 4²)(w² + 2)
= (w + 4)(w - 4)(w² + 2)
Plug in y=3x+2 into the y in the second equation.
x + 2(3x+2) = 11
x + 6x + 4 = 11
7x + 4 = 11
7x = 7
x = 1
then, plug the x value into x in the first equation.
y = 3(1) + 2
y = 3 +2
y = 5
There are 45 pounds and 30 pounds of each type respectively.
Step-by-step explanation:
Since we have given that
Cost of first type = $2 per pound
Cost of second type = $7 per pound
Cost of mixture = $4 per pound
So, we need to find the quantity of each type to make 75 pounds of a blend.
We will use "Mixture and Allegations":
First type Second type
2 7
4
---------------------------------------------------
7 - 4 : 4 - 2
3 : 2
So, Quantity of first type would be

Quantity of second type would be

Hence, there are 45 pounds and 30 pounds of each type respectively.
? is there any more context to the question?