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emmasim [6.3K]
2 years ago
7

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

Mathematics
1 answer:
Karo-lina-s [1.5K]2 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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David drove 580 km on 7 hour journey. on the city roads he drove 60km/h and on the he drove 100km/h. How long did he drive at ea
serious [3.7K]

Answer:

3 hours on the city roads and 4 hours on the other roads

Step-by-step explanation:

580 (total miles driven) - 400 (4 hours of driving 100km/h) = 180 (miles left)

180 (miles left to drive) / 60 (km/h) = 3 (hours driven at the speed of 60km/h)

I hope this helps :)

5 0
3 years ago
Use the exponential function y=500(.9)^x to find the value of the video game console after 4 years.
zysi [14]

Answer:

328.05 dollars

7 years

Step-by-step explanation:

1.

y=500(.9)^4 =328.05

What is being asked in the problem and what does that mean?

We are asked to the price of the video game after 4 years.

What do I know and what does it mean? What plan am I going to try?

We know the <u>initial price is $500</u>, the <u>value depreciates 10% each year </u>because we have .9 or 90% of the price going into the next year.

- value of the video game after first year 90% of 500 so is 450

- value of the video game after second year 90% of 450 so is 405

-value of the video game after third year 90% of 405 so is 364.5

-value of the video game after <u>fourth year</u> 90% of 364.5 so is 328.05

The plan is to substitute x with 4 and calculate y, y=500(.9)^4

What is your answer and what does it mean?

The answer is $328.05, and it means that the video game that was initially worth $500 it lost its' value by 10 % each of the four years.

2.

         y= 500(.9)^x

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

x =8, y= 500(0.9)^8 = 215.234 ≈215.23, this is less than $250

x = 7, y= 500(0.9)^7 = 239.148 ≈239.15, this is less than $250

x =6, y= 500(0.9)^6 = 265.721 ≈ 265.72, this is more than $250

What is being asked in the problem and what does that mean?

We are asked to find the value of x that represents the years such that the value of the console is still under $250.

What do I know and what does it mean? What plan am I going to try?

We know the value of y has to be less that $250, we know the inequality

[500(.9)^x ] < 250, the plan is to try different values for x until we have the maximum value of x that gives us less than 250.

8 0
3 years ago
I need help with the the answer
kap26 [50]

Step-by-step explanation:

We can write

X=-2,-1,0,1,2

And the equation is y=3x+4-------(1)

First we should be put all the value in equation (1)

y=2,1,4,7,10

And the answer will

(x, y) ={ (-2,2),(-1,1),(0,4),(1,7),(2,8)}

8 0
2 years ago
Elijah earn 200$ for 8 hours of work. what is the unit rate(in dollars per hour)
Marysya12 [62]

Answer: 25 dollars per hour.

Step-by-step explanation: Rate this for free toast.

4 0
3 years ago
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Vesna [10]

Answer:

39/80

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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