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3 years ago

F(x) 3x^4-4x^2-3 Is this function odd?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

8 0

Answer:

No.

Step-by-step explanation:

f(x) = 3x^4-4x^2-3

If a function is odd then f(-x) = -f(x) for all values of x.

Here f(-x) = 3(-x)^4 - 4(-x)^2 - 3

= 3x^4 - 4x^2 - 3

So f(-x) = f(x) which makes it even.

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Let f be a function such that f(x)=2x-4 is defined on the domain.2 is less than or equal to x and x is lss than or equal to 6. T

STALIN [3.7K]

F(x) = 2x - 4
f(2 ≤ x) = 2(2 ≤ x) - 4
f(x ≥ 2) = 2(x ≥ 2) - 4
f(x ≥ 2) = 2(x) ≥ 2(2) - 4
f(x ≥ 2) = 2x ≥ 4 - 4
f(x ≥ 2) = 2x ≥ 0
f(x ≥ 2) = x ≥ 0

f(x) = 2x - 4
f(x ≤ 6) = 2(x ≤ 6) - 4
f(x ≤ 6) = 2(x) ≤ 2(6) - 4
f(x ≤ 6) = 2x ≤ 12 - 4
f(x ≤ 6) = 2x ≤ 8
f(x ≤ 6) = x ≤ 4

8 0

3 years ago

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The temperature of a liquid in an experiment starts at 0 degrees. The temperature of the liquid changes at a rate of -0.2 per mi

Ilia_Sergeevich [38]

Initial temperature of the liquid = 0 degrees.

Rate of changes of liquid temperature = -0.2 per minute.

Rate of change also represents slope of a linear function.

We know, slope-intercept form of a linear equation

y=mx+b, where m is the slope (rate of change) and b is y-intercept(initial temprature).

With respect to given problem, y represents temperature of a liquid after x number of minutes.

According to given problem, slope(rate of change) = -0.2 per minute and y-intercept(initial temprature)=0.

Plugging values of m and b in the above slope-intercept form of a linear equation.We get,

y=-0.2x+0

or y=-0.2x.

Final temprature is given -14.6 degrees and we need to find time when temprature reach -14.6 degrees.

As y represents temperature of a liquid , we need to plug y=-14.6 in above equation.

We get,

-14.6=-0.2x.

Dividing both sides by -0.2.

-14.6/-0.2=-0.2x/-0.2

x=73.

We got 73 minutes.

73 minutes can be convert in hours.

We have 60 minutes in an hour.

Therefore, 73 = 60+13.

So, 1 hour and 13 minutes will it for the liquid to reach -14.6 degrees.

In minutes answer is 73 minutes.

3 0

3 years ago

The median is the same as the ______________.

Ilia_Sergeevich [38]

Answer: Option A

The median is the same as the _ Second quartile_.

Step-by-step explanation:

Given a series of data ordered from least to greatest, the median is the value that is in the center.

That is, the median represents the value that divides 50% of the data.

In the same way, the first quartile $Q_1$ is the value that divides 25% of the data and the third quartile $Q_3$ is the value that divides 75% of the data.

The second quartile $Q_2$ is the number that divides 50% of the data.

Then notice that the second quartile is equal to the median

Then te answer is the option A.

7 0

3 years ago

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NEED HELP??

vfiekz [6]

The simple interest formula is A = P(1 + rt) in which A is the total of money after interest, P is your principal (starting) amount, r is the interest rate, and t is the amount of time.
For 1), plug in your variables to get A = 1500(1 + (7/100*1.5)). Simplify, and you'll get A = 1500*1.105, and finally your answer, $1,657.50.

<span>For 2), add your interest and principal amount, then plug in your variables to get 676 = 520(1 + 5r). Distribute to get 676 = 520 + 2600r. Subtract 520 from 676 to get 156 = 2600r, then divide both sides by 2600 to get a rate of 0.06, or 6%.

For 3), add your interest and principal amount, then plug in your variables to get 1599 = 1300(1 + 5.75t). Distribute to get 1599 = 1300 + 7475t. Subtract 1300 from both sides to get 299 = 7475t, and then divide both sides by 7475 to get .04 = t, or a time period of four years.

The other two problems can be solved using the formula and steps described above. If you still need help with them, leave a comment and I will solve those as well. </span>

8 0

3 years ago

Read 2 more answers

Really confused and need answers :) i need it to be factored

Neko [114]

Answer: 15(5z^2+4z+8)

Step-by-step explanation:

You take out the common values

5 0

3 years ago