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Inessa [10]
3 years ago
14

Factorise the following expression :​

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0

Answer:

36a²b-60a²bc

6×6×a²×b-6×10×a²b×c

6a²b(6-10c)

6a²b((2(3-5c))

6×2a²b(3-5c)

12a²b(3-5c)

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Math- Differentiation . Could you help me to solve this question?
Arlecino [84]

Answer:

Step-by-step explanation:

Hello, first of all we can find a value for f(1)

xf(x)+f(x^2)=2 \\\\\text{So for x = 1, it gives}\\\\f(1)+f(1^2)=f(1)+f(1)=2f(1)=2\\\\ f(1) =1

And we can get the derivative of the equation so.

(uv)'=u'v+uv' \text{ and } \dfrac{df(x^2)}{dx}=2xf'(x^2) \text{ so we can write}\\\\f(x)+xf'(x)+2xf'(x^2)=0\\\\\text{And then, for x = 1}\\\\f(1)+f'(1)+2f'(1)=0\\\\ f(1)+3f'(1)=0\\\\ 3f'(1)=-f(1)=-1\\\\\large \boxed{ f'(1)=-\dfrac{1}{3} }

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4 0
3 years ago
“Peaches at the Farmer’s Market cost $2.70 per pound.”
koban [17]

Answer:

non-proportional

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Log5(5)=x<br> solve for x
Ilia_Sergeevich [38]

Answer:

x = 1

Step-by-step explanation:

Using the rule of logarithms

log_{b} b = 1

That is the logarithm of a number to the same base is 1

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log_{5} 5 = x , hence x = 1

6 0
4 years ago
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17. Santino loves to rock different colored polo shirts every day. He recently wore the following colors:
qaws [65]

Answer:

The mode for the colors that Santino wore recently is Blue.

Step-by-step explanation:

The mode of a data set is the term or observation that presents most of the time.

The frequency table of different colored polo shirts worn by Santino is:

Color      Frequency

Yellow            2

 Blue              3

Green             1

 Pink              1

Brown            1

Orange          1

Chartreuse    1

Black              1

Puce              1

The color Blue has the highest frequency, i.e. 3.

So, the mode for the colors that Santino wore recently is Blue.

3 0
3 years ago
Michael keeps track of how much time he uses his
Valentin [98]

Answer:

we have to see the table

Step-by-step explanation:

say that y is the calculated time

and x is the weeks

4 0
4 years ago
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