Answer:
f(x) is an even function for all even values of m.
Step-by-step explanation:
I believe the correct answer from the choices listed above is option. The reason of that is because no matter what m is, assuming it is an integer 2m will always be an even number. Hope this answers the question.
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Answer:
smaller number is 10
larger number is 39
Step-by-step explanation:
a = small number
b = larger number
a + b = 49
2a = 3b - 97
substitute 49-a into second equation for b
2a = 3(49-a) - 97
2a = 147 - 3a - 97
5a = 50
a = 10
b = 39
Answer: 
Step-by-step explanation:
Let be "y" the monthly demand for the company’s sports caps, "x" the amount in dollar spent on advertising and "z"the price ind dollars per cap.
The model for this situation is:

Where "k" is the constant of proportionality.
Since
when
and
, we can substitute values into
and solve for "k" to finds its value:

Then, in order to calculate what price yields a demand of 300 caps when advertising is increased to $3,000, we must substitute the following values into
:

Then:

Solving for "z" we get:

Answer:
Length = 10 cm
Width = 10 cm
Height = 12 cm
Step-by-step explanation:
Cost of a cardboard with a square base and top = 0.3 cents per cm²
0.3 cents = $0.003 (0.3/100)
Total cost for material = $3.6
The volume of the box = $3.6/$0.003 = 1,200cm³
The formula for volume = length × width × height.
Since the base and top are square, the length and width must have equal sizes.
Let us assume that
length = 10cm
width = 10cm
these will give an area of 100cm².
Volume = length * width * height
= Area * height
= 10 * 10 * height
= 100cm² * height
Therefore, the height will be the volume divided by area
= 1,200cm³/100cm²
= 12cm
Volume = 10 * 10 * 12
= 1,200cm³