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rusak2 [61]
3 years ago
10

which relation is a function. ( I chose option D) but not 100% sure. Need help ASAP. Will Mark Brainlest. ​

Mathematics
1 answer:
Shalnov [3]3 years ago
4 0
It is C (the one on the bottom left) because none of the X-values are used twice. On all the others their X-values are used more then once.
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Find the derivative of the function f(x) = (x3 - 2x + 1)(x – 3) using the product rule.
julsineya [31]

Answer:

Step-by-step explanation:

Hello, first, let's use the product rule.

Derivative of uv is u'v + u v', so it gives:

f(x)=(x^3-2x+1)(x-3)=u(x) \cdot v(x)\\\\f'(x)=u'(x)v(x)+u(x)v'(x)\\\\ \text{ **** } u(x)=x^3-2x+1 \ \ \ so \ \ \ u'(x)=3x^2-2\\\\\text{ **** } v(x)=x-3 \ \ \ so \ \ \ v'(x)=1\\\\f'(x)=(3x^2-2)(x-3)+(x^3-2x+1)(1)\\\\f'(x)=3x^3-9x^2-2x+6 + x^3-2x+1\\\\\boxed{f'(x)=4x^3-9x^2-4x+7}

Now, we distribute the expression of f(x) and find the derivative afterwards.

f(x)=(x^3-2x+1)(x-3)\\\\=x^4-2x^2+x-3x^3+6x-4\\\\=x^4-3x^3-2x^2+7x-4 \ \ \ so\\ \\\boxed{f'(x)=4x^3-9x^2-4x+7}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

6 0
3 years ago
I'm struggling fr now, pls can you help me answer these questions using the y= mx+ c method thanks!
Phoenix [80]

Answer:

Examination of the equation shows (graph):

x = 0, y = .5

Then .5 = c      gives us the value of c giving

y = m x + .5    is our equation

Using y = 0, x = -1 gives

o = -1 * m + .5

m = .5

y = .5 x + .5    for the final equation

Check:

At x = 5, y = 3

3 = .5 (5) + .5 = 3

4 0
2 years ago
If it is 5:00 pm in Bloomington, OH, what time is it in St. Louis, MO?
insens350 [35]

Answer:

4:00. I am sure that it is 4 o clock!

Step-by-step explanation:

it is 4:00

8 0
3 years ago
NEED HELP FAST!!!
baherus [9]
We know the y intercept is 16 because y=16 when x=0.

Find slope by calculating change in y over change in x.
(12-16)/(2-0)
-4/2
-2

Plug both values into slope intercept form. y=mx+b where m is slope and b is the y intercept.

Final answer: y=-2x+16
4 0
3 years ago
All you have to do is write the function!
sasho [114]

Answer:

The function that represents the average cost in dollars of saleable software CD is given as follows;

f(x) = 500,020/x + 0.10

Step-by-step explanation:

The given parameters are;

The cost of manufacture of each software CD = $0.10

The development cost to produce the CD = $500,000

The number of CDs that are not sold = The first 200 CDs

The total cost of production. 'C', of the the CD is given as follows;

C = $500,000 + $0.10×200  = $500,020

The function, 'f' for the average cost in dollars of a saleable software CD where 'x' is the number of saleable software CDs is given as follows;

f(x) = (C + 0.10·x)/x = C/x + 0.10

∴ f(x) = 500,020/x + 0.10.

5 0
3 years ago
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