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Vlad [161]
3 years ago
7

What is power rule and definitions

Mathematics
1 answer:
Grace [21]3 years ago
6 0
The power rule is one of several rules used to calculate the derivative of a function

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Please help me with 10 and 11
Gelneren [198K]

Answer:

10. 2x+y

11. x^2-15x+3

Step-by-step explanation:

10. when u add 7x+3y and 4x+4y you will get 11x+7y. 13x+8y minus 11x+7y will be 2x+y

11. when u add 3x^2+7x+1 and x^2-x+1 u will get 4x^2+6x+2. 5x^2-9x+5 minus 4x^2+6x+2 will be x^2-15x+3

5 0
3 years ago
In Problems 23–30, use the given zero to find the remaining zeros of each function
Talja [164]

Answer:

x =  2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

f(x) = x^3 - 4x^2+ 4x - 16

One of the zeroes of the above polynomial is 2i, that is :

f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0

Thus, we can write

(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Now, we check if -2i is a root of the given polynomial:

f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0

Thus, we can write

(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Therefore,

(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Dividing the given polynomial:

\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4

Thus,

(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

X = 4 is a root of the given polynomial.

f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0

Thus, 2i, -2i and 4 are the roots of given polynomial.

4 0
3 years ago
Problem: -7(2)+y=60, so where do I start?
aev [14]
-7(2)+y=60
-14+y=60
y=60+14
Y=74
4 0
3 years ago
Read 2 more answers
Emily is trying to rewrite 45 - 27 as the product of the GCF of the two numbers and
Karolina [17]
No, it won’t work. The greatest common factor between 45 and 27 is 9, but 45-27=18. So it cannot work.
3 0
2 years ago
Simplify day 19 please
Genrish500 [490]
The answer is approximately 11.18.
3 0
3 years ago
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