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4 years ago

Determine whether the function f(x) = -2x - 5x is even, odd, or neither.

Mathematics

1 answer:

Shtirlitz [24]4 years ago

7 0

Answer: odd

Step-by-step explanation:

A function is even if for any input value x and -x there is the same output value y. In other words, a function is even if:

$f (-x) = f (x)$

A function is odd if it is true that:

$f (-x) = -f (x)$

Then we must test if $f(-x) = f(x)$ for the function: $f(x)=-2x - 5x$

$f(-x)=-2(-x) - 5(-x)$

$f(-x)=2x + 5x$

So $f(-x) \neq f(x)$

The function is not even

Now we must test if $f (-x) = -f (x)$ for the function.

$f(-x)=-2(-x) - 5(-x)$

$f(-x)=2x + 5x$

$f(-x)=-(-2x -5x)$ and $f(x)=-2x - 5x$

So $f(-x) = -f(x)$

Finally the function is odd

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Find the unknown digit to make each statement true 3.59 > 3.5 1 >3.572

Softa [21]

We are given statement 3.59 > 3.5__1 >3.572.

We have a blank space in between 5 and 1 in the middle number given.

Given statement ccan be read as :

3.59 is greater than 3.5__1 is greater than 3.572.

So, we need to check a number that is less than 3.59 but less than 3.572.

The hundredth place of 3.59 number is 9 and

hundredth place of 3.572 number is 7.

So, we need to find a number between 7 and 9.

8 is the number in between 7 and 9.

So, the known digit can be replaced by 8 to make the statement true.

And final statement is 3.59 > 3.581 >3.572.

6 0

3 years ago

Read 2 more answers

The conditional relative frequency table below was generated by column using frequency table data comparing the number of calori

inessss [21]

Answer:

B. There is an association because the value 0.15 is not similar to the value 0.55

Step-by-step explanation:

Based on the above picture, for the nutritionist to determine whether there is an association between where food is prepared and the number of calories the food contains, there must be an association between two categorical variables.

The conditions that satisfy whether there exists an association between conditional relative frequencies are:

1. When there is a bigger difference in the conditional relative frequencies, the stronger the association between the variables.

2. When the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables.

For the given conditional relative frequency, we can see that there exists a significant difference between the columns of the table in the picture because 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45

We can conclude that there is an association because the value 0.15 is not similar to the value 0.55

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3 years ago

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Tricias mother let her play outside for 15 minutes. When she went out side, she played with her dog for 5 minutes. Then she rode

Slav-nsk [51]

Answer:

6 minutes

Step-by-step explanation:

15-5=10

10-4=6

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3 years ago

Write the expression in complete factored form 4u^2(a-3)+q(a-3)

Sauron [17]

[ Answer ]

$\boxed{\bold{4au^{2} \ - \ 12u^{2} \ + \ aq \ - \ 3q}}$

[ Explanation ]

Factor: $4u^{2}$ (a - 3) + q(a - 3)

-------------------------------------

Expand $4u^2\left(a-3\right)$ : $4au^2-12u^2$

$4au^2-12u^2+q\left(a-3\right)$

Expand

$q\left(a-3\right)$ : $aq-3q$

Answer

$4au^2-12u^2+aq-3q$

$\boxed{\bold{[] \ Eclipsed \ []}}$

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3 years ago

Four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and tre

alexdok [17]

Answer:

So, exists 5527200 different leadership structures.

Step-by-step explanation:

We know that four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and treasurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.

Since the order of the people is important to us, we have the following:

50·49·48·47=5527200

So, exists 5527200 different leadership structures.

3 0

3 years ago