Definition:
A function is "even" when f(x) = f(−x) for all x.
Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.
If point (6, 8) is one the points on the graph of f(x), then f(6)=8 and since function is even, you can state that f(-6)=f(6)=8. This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.
Answer: correct choice is A.
Answer:
44 feet/hour
Step-by-step explanation:
6mi/month(5280ft/1mi)(1month/30days)(1day/24hrs)
Assuming the month has 30 days, object moves at 44 feet/hour. You want all the units to cancel till you get the ones you need, in this case feet/hr.
Answer:
The number is 5
Step-by-step explanation:
Let x represent the number
Now let's break it down!
Sum of a number and 3 gives;
x + 3
This is then doubled to give;
2* (x + 3)
This is added to the product of 6 and the original number to give 46
Product of 6 and the original number = 6 * x
Now 2* (x + 3) is added to 6 * x to give 46
2* (x + 3) + 6*x = 46
2x + 6 + 6x = 46
8x + 6 = 46
Subtract 6 from both sides
8x + 6 - 6 = 46 - 6
8x = 40
x = 40/8
x = 5
Hence, the number is 5
Answer:
option (a) $250
Step-by-step explanation:
Data provided in the question:
Fixed cost = $500
For 100 units produced Total cost = $3,500
For 101 units produced, Total cost = $3,750
Now,
Marginal cost is calculated as:
Marginal cost = 
thus,
Marginal cost = 
or
Marginal cost = 
or
Marginal cost = $250
Hence,
The correct answer is option (a) $250
Answer:
30°,40°
Step-by-step explanation:
let the other angles be 3x and 4x
3x+4x+110=180
7x=180-110=70
x=70/7=10
3x=3×10=30
4x=4×10=40
