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crimeas [40]
3 years ago
12

Write your question here (Keep it simple and clear to get the best answer)4x³-5x is it odd or even function

Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer:

odd

Step-by-step explanation:

To determine if odd/ even

• If f(x) = f(- x) then it is even

• If f(- x) = - f(x) then it is odd

Given

f(x) = 4x³ - 5x , then

f(- x) = 4(- x)³ - 5(- x) = - 4x³ + 5x

Since f(x) ≠ f(- x) then it is not even

- f(x) = - (4x³ - 5x) = - 4x³ + 5x

Since f(- x) = - f(x) , then 4x³ - 5x is odd

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Tanner rolls a number cube three times. What is the probability that he will roll at least one even number?
Alex73 [517]
The answer isssssssssssssss 1/2
3 0
4 years ago
2. A lunch stand makes s.75 profit on each chef's salad and $1.20 profit on each Caesar salad. On a typical weekday, it sells be
kow [346]

Let's let

<u>x = the number of chef salads, x>=0</u>

<u>y = the number of Caesar salads, y>=0</u>

The constrains are:

40 <= x <= 60

35 <= y <= 50

x + y <= 100

The objective function here is F(x, y) = 0.75x + 1.20y

The corner points are (40, 35),  (60, 35), (60, 40), (50, 50) and (40, 50).

F (40, 35) = 0.75*40 + 1.20*35 = $72

F (60, 35) = 0.70*60 + 1.20*35 = $84

F (60, 40) = 0.75*60 + 1.20*40 = $93

F (50, 50) = 0.75*50 + 1.20*50 = $97.50

F (40, 50) = 0.75*40 + 1.20*50 = $90

Thus, we conclude to maximize the profit 50 Chef and 50 Caesar salads should be prepared.

8 0
4 years ago
Does the function model exponential growth decay? g(x)= 1/3 • (2/9)​
vlada-n [284]

Answer:

Decay because 1/3 is between 0 and 1

6 0
3 years ago
Read 2 more answers
Greta takes out a loan of $35,000 the rate of compound interest is 2% per month after 6 months she wants to pay off the loan and
zimovet [89]
To solve this problem, we must use the Time Value of Money equation.

Future Value = Present Value * (1 + interest rate per month)^number of months

F = 35,000 * (1.02)^6 = 39,415.68

A. She will have to pay $39,415.68 altogether.

To find payment in interest, we must subtract the initial loan of $35,000 from $39,415.68

39,415.68 - 35,000 = 4,415.68

B. She will have to pay $4,415.68 in interest.


4 0
3 years ago
Which conclusion about f(x) and g(x) can be drawn from the table
NeTakaya
<h2>Answer:</h2>

The conclusion that is true about f(x) and g(x) based on the table of values is:

  •      The function f(x) and g(x) are reflections over the y-axis.    
<h2>Step-by-step explanation:</h2>
  • We know that the rule that describes the reflection over the y-axis is:

        (x,y) → (-x,y)

Hence, if we have a function f(x) as:

f(x)=2^x

Then it's reflection over the y-axis is:

f(-x)=2^{-x}\\\\\\f(-x)=(2^{-1})^x\\\\\\f(-x)=(\dfrac{1}{2})^x\\\\i.e.\\\\\\g(x)=(\dfrac{1}{2})^x

Hence, they are reflection over the y-axis.

  • Also, we know that the exponential function of the type:

                y=ab^x

where a>0 is a increasing function if b>1

and is a decreasing function if: 0<b<1

Hence, f(x) is a increasing function and g(x) is a decreasing function.

  • Also, the initial value of a function is the value of function when x=0

when x=0 we see that both f(x)=g(x)=1

i.e. Both f(x) and g(x) have same initial value.

Also,by the graph we may see the relation.

7 0
4 years ago
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