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3 years ago

Identify the monomial function(s) that have a maximum.

Mathematics

2 answers:

Irina-Kira [14]3 years ago

7 0

y=-3x^4

y=-2x^12

3 and 4 are the correct options

natima [27]3 years ago

4 0

Answer:

Step-by-step explanation:

For a function f to have a maximum as per derivative rule we have to have

f'(x) =0, f"(x) <0

If second derivative =0 also then it is not maximum but point of inflections

Whenever f(x) = ax^n

we have

f'(x) = 0 gives x=0 and

f"(x) = n(n-1) ax ^(n-2)

So for n greater than or equal to there cannot be any maximum

And also for a straight line

y =-4x

y'=-4 and y"-0

No maximum

So only maximum can be for a funciton of the form y = ax^2

Here we do not have that all degrees are either 1 or greater than 1.

So no maximum for any funciton.

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An antelope can run a speed of 61 miles per hour. What is this speed in yards per second? Round to the nearest hundredth

DochEvi [55]

Answer:

= 29.82 yards/second

Step-by-step explanation:

The speed is given in the problem. We just need to convert its units. The multiplicative identity (that is, 1) may be used to change the units without changing the value. (note: do you know what the additive identity is?)

61 miles per hour

(61 miles) / (1 hour)

(61 miles)/(1 hour)*1

((61 miles)/(1 hour))*((5280 feet)/(1 mile))

((61 miles)/(1 hour))*((5280 feet)/(1 mile))*((1 yard)/(3 feet))*((1 hour)/(60 minutes))*((1 minute)/(60 seconds))

note: miles, feet, hours, minutes cancel out; leaving yards per second

(61/1)*(5280/1)*(1/3)*(1/60)*(1/60) yards/second (note: I write that way to paste into Excel)

8 0

3 years ago

Write 0.0004571 in scientific notation.

NISA [10]

Scientific notation means to write the answer in standard form. standard form helps you to express numbers that are too big or too small to be conveniently written in decimal form.
so for this case, it will be 4.571×10^-4.
when the number is decimal, you move the dot to the right and it will always be multiplying 10 to the power of a negative power.

6 0

3 years ago

Read 2 more answers

There are approximately 7.5x10^18 grains of sand on earth.There are approximately 7x10 ^27 atoms in an average human body.Are th

AlekseyPX

There are more atoms in a human body because 7.5*10^18 is less than 7*10^27.

6 0

3 years ago

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Select the correct answer from each drop-down menu.

Alexxx [7]

Answer:

Graph B

Inside

Step-by-step explanation:

Let, the number of apples = x and number of peaches = y.

It is given that the farmer can afford maximum of 54 acres.

Thus, x + y ≤ 54.

Also, apples require 3000 gallons of water and peaches require 800 gallons of water each day.

Since, maximum amount of water is 80,000 gallons per day,

We get, 3000x + 800y ≤ 80,000.

It is required to maximize the profit given by z = 3400x + 1600y.

Thus, the system of equations becomes,

z = 3400x + 1600y

3000x + 800y ≤ 80,000.

x + y ≤ 54.

Plotting these equations gives the following graph.

We can see that the graph obtained is equivalent to Graph B.

Further, we know that the maximum value of the objective function z = 3400x + 800y is obtained at the boundary point of the solution region.

Thus, any point inside the solution region will give a feasible solution not maximum solution.

Hence, ( 30,20 ) will not maximize the profit as it lies inside the solution region.

8 0

3 years ago

Which is a correct first step for solving this equation?<br> 2 + 7 = 2x + 5 - 43

Nina [5.8K]

Answer:

Combine the like terms

Step-by-step explanation:

2 + 7 = 2x + 5 - 43

The first step is to combine the like terms

9 = 2x - 38

5 0

2 years ago

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