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Dahasolnce [82]
3 years ago
6

What is the unit rate of the equation below? y = 2x + 8

Mathematics
1 answer:
wariber [46]3 years ago
5 0
I don’t know how to find unit rate I don’t even know what it means
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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
What is the product of (-a + 3)(a + 4)?
spayn [35]

Answer: The product of (-a + 3)(a + 4) is:  -a^2-a+12

Step-by-step explanation:

(-a+3)(a+4) = -a*a-a*4+3*a+3*4

=-a^{2} -4a+3a+12

now just simply combine..

=-a^2-a+12

the answer is -a^2-a+12

8 0
3 years ago
Solve by Elimination<br> b) -4x+2y=-4<br> 4x-5y=-8
ruslelena [56]

Answer:

x = 3

y = 4

Step-by-step explanation:

-4x+2y=-4   -----(eq1)

4x-5y=-8 ------(eq 2)

by elimination,

(eq1) + (eq 2),

(-4x+2y) + (4x-5y) = -4 + (-8)

-4x+2y + 4x-5y = -4 -8

2y-5y = -12

-3y = -12   (divide both sides by -3)

y = -12 / (-3) = 12/3 = 4  (sub back into (eq 1) )

-4x+2y=-4   -----(eq1), when y = 4,

-4x+2(4)=-4  

-4x+8 = -4    (subtract 8 from both sides)

-4x= -4   - 8

-4x= -12 (divide both sides by -4)

x = -12 / (-4) = 3

5 0
3 years ago
Gordon types 2,320 words in 29 minutes. Find the unit rate.
Masteriza [31]

Answer: PLZ MARK BRAINLIEST

the answer is 80 words/minute

Step-by-step explanation:

Divide 2,320 by 29

6 0
3 years ago
Read 2 more answers
Solve the problem.
jeka94
So we know that the answer is 5.1 because the 77.0 you could add and get 22
6 0
2 years ago
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