Answer: Here's my answer
Step-by-step explanation:
The objective function given, "c = xy", represents the cost (c) associated with the operation of machine X and machine Y, where x represents the number of hours machine X runs and y represents the number of hours machine Y runs.
To understand the objective function, let's break it down step by step:
1. "c" represents the cost associated with the operation of the machines. This could include expenses such as maintenance, energy consumption, or labor costs.
2. "x" represents the number of hours machine X runs. This indicates the duration for which machine X is in operation.
3. "y" represents the number of hours machine Y runs. This indicates the duration for which machine Y is in operation.
4. The objective function "c = xy" states that the cost (c) is calculated by multiplying the number of hours machine X runs (x) by the number of hours machine Y runs (y). This means that the total cost is proportional to the product of the hours of operation for both machines.
For example, if machine X runs for 5 hours (x = 5) and machine Y runs for 3 hours (y = 3), the cost (c) would be calculated as follows:
c = xy
c = 5 * 3
c = 15
In this case, the cost (c) would be 15, representing the total cost associated with the operation of both machines for the given hours.
Therefore, the objective function "c = xy" calculates the cost based on the product of the hours of operation for machine X and machine Y.
Which of the following is a correct statement about this relation?
A. The slope of the line represented by this table is -2 and the y-intercept is -4.
B. The slope of the line represented by this table is 2 and the y-intercept is 7.
C. The slope of the line represented by this table is 2 and the y-intercept is -4.
D. The slope of the line represented by this table is -2 and the y-intercept is 7.
Answer:
Option B - The slope of the line represented by this table is 2 and the y-intercept is 7.
Step-by-step explanation:
Given : The ordered pair below represent a linear relation below x and y.
(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)
The slope form is
where m is the slope of line and c is the y-intercept.
or to find slope between two points are
Since they are ordered pairs so, there slopes were same
Let take points (-3,1), (-2,3)
Therefore, the slope of the given linear function is 2
Now, we have to find y intercept we put in slope form
Given pairs are ordered therefore, they satisfy the above equation so let point (-2,3)
So, slope of the line is 2 and y-intercept is 7.
Therefore, Option B is correct.
Answer:
wrap in gauze
Step-by-step explanation:
Answer:
7 radians
Step-by-step explanation:
In a circle, an angle measuring 2π radians intercepts an arc of length 14π. Find the radius of the circle in simplest form.
Since our Angle in in radians
The formula for Arc length = S = rθ
S = 14π
θ = central angle = 2π radians
Hence
r = S/θ
r = 14π/2π radians
r = 7 radians
Radius = 7 radians
Answer:
Step-by-step explanation:
9. f(g(-n))
g(-n) = -(n²+5) = -n²-5
f(g(-n)) = 2n+1 (-n²-5 )
2n(-n²-5)+1(-n²-5 )
-2n³-10n-n²-5
-2n³-n²-10n-5
n²(-2n-1) +5(2n-1)
(n²+5)(2n-1)
10. (2x+2)(x³+3)
2x(x³+3)+2(x³+3)
2x⁴ + 2x³ +6x +6
2x³(x+1)+6(x+1)
(2x³+6)(x+1
Answer:
A
Step-by-step explanation:
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