Answer: 37 kilograms of walnuts should be mixed.
Step-by-step explanation:
Let x represent the number of kilograms of peanuts needed to make the mixture.
Let y represent the number of kilograms of walnut needed to make the mixture.
The mixture to be made is 100 kg. It means that
x + y = 100
The worth of the mixture is $3.24 per kilogram. It means that the total worth of the mixture is
3.24 × 100 = $324
peanuts cost $2.50 per kilogram and walnuts cost $4.50 per kilogram. It means that
2.5x + 4.5y = 324- - - - - - - - - -1
Substituting x = 100 - y into equation 1, it becomes
2.5(100 - y) + 4.5y = 324
250 - 2.5y + 4.5y = 324
- 2.5y + 4.5y = 324 - 250
2y = 74
y = 74/2 = 37
x = 100 - y = 100 - 37
x = 63
Answer:
Answer:
As x→∞ , f(x)→-∞
As
x→-∞ , f(x)→∞
Step-by-step explanation:
End behavior is determined by the degree of the polynomial and the leading coefficient (LC).
The degree of this polynomial is the greatest exponent, or
3
.
The leading coefficient is the coefficient of the term with the greatest exponent, or
2
.
For polynomials of even degree, the "ends" of the polynomial graph point in the same direction as follows.
Even degree and positive LC:
As x→∞ , f(x)→∞ As x→∞, f(x)→∞
Even degree and negative LC:
As x→−∞ , f(x)→−∞
As
x→∞ , f(x)→−∞
Answer:
5040 possible arrangements
Step-by-step explanation:
Given
Required
Possible arrangements
The 1st can be placed in any 7 positions
The 2nd, in 6 positions
-----
--
-
Up till the last in 1 position
So, the number of arrangements is:
6x+3y=-9
3y = -6x - 9
y = -2x - 3 ; This line has slope = -2
Parallel lines, slope is the same so the slope of a line that is parallel to
6x+3y = - 9 is also -2
Answer
-2
Answer:
10- 4x
Step-by-step explanation:
decreased = subtract
times = multiply
