Answer:
The answer to your question is: second option
Step-by-step explanation:
g(x) = x + 4
- This function is linear because the power of x is 1, if the power were a different number it would not be linear.
- As the sign of 4 is positive, it means that the function is translated 4 units up.
- A constant is when there is a number, for example +4 or -4, in this example the function also has a letter "X" so it is not a constant.
Answer:

Step-by-step explanation:
Vertex form is

We know that h and k are both -4. Let x be -2 and y be -16.





So the equation in vertex form is

The answer is A) 45°. This is because angles 1 and 5 are vertical angles. Vertical angles are congruent.
Answer:
So to maximize profit 24 downhill and 20 cross country shouldbe produced
Step-by-step explanation:
Let X be the number of downhill skis and Y the number of cross country skis.
Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours
Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.
Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90
total finishing time taken = 0.5x+1.5 y≤42
Profit function
Z = 50x+50y
Objective is to maximize Z
Solving the two equations we get intersecting point is
(x,y) = (24,20)
In the feasible region corner points are (0.28) (36,0)
Profit for these points are
i) 2200 for (24,20)
ii) 1400 for (0,28)
iii) 1800 for (36,0)
So to maximize profit 24 downhill and 20 cross country shouldbe produced.