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4 years ago

How to solve and graph these (system of equations) (plz show work!): 2x-y=1 x+y=2

Mathematics

2 answers:

Marta_Voda [28]4 years ago

7 0

You multiply -2 to x+y=2 then you can combine the Like terms then you plug the answer to any equation

Answer: (1,1)

9966 [12]4 years ago

4 0

That should be the way you do it.

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Ludmilka [50]

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3 years ago

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Can someone correctly answer this for me?

pshichka [43]

F(x) =-3x -18 + 9
-2x - 9

it's the first one

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3 years ago

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An item is regularly priced at $95. Josh bought it on sale for 80% off the regular price. How much did josh pay?

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4 years ago

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If f is a differentiable function, find an expression for the derivative of each of the following functions

almond37 [142]

12a. Answer: d) x⁶ f'(x) + 6x⁵ f(x)

Step-by-step explanation:

Use the multiplication formula for derivatives:

y = a · b → y' = a'b + ab'

y = x⁶ · f(x)

a = x⁶ b = f(x)

a' = 6x⁵ b' = f'(x)

y' = a'b + ab'

y' = 6x⁵ f(x) + x⁶ f'(x)

***************************************************************

12b. Answer: $\bold{b)\ y=\dfrac{xf'(x)-9f(x)}{x^{10}}'}$

Step-by-step explanation:

Use the division formula for derivatives:

$y=\dfrac{a}{b}$ → $y' = \dfrac{a'b - ab'}{b^2}$

$y=\dfrac{f(x)}{x^9}\\\\a=f(x)\qquad b=x^9\\\\a'=f(x)\qquad b'=9x^8\\\\y'=\dfrac{a'b-ab'}{b^2}\\\\y'=\dfrac{x^9f'(x)-9x^8f(x)}{(x^9)^2}\\\\.\ =\dfrac{x^9f'(x)-9x^8f(x)}{x^{18}}\\\\\text{factor out }x^{8}: y'=\dfrac{xf'(x)-9f(x)}{x^{10}}$

Note: You can also move the denominator to the top (it will have a negative exponent) and use the multiplication formula for derivatives.

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3 years ago

Researchers randomly divide participants into groups. Each group takes a different amount of omega-3 fatty acid supplements dail

Naily [24]

Answer:

b. To increase the accuracy of the research and prevent skewness in the idea.

Step-by-step explanation:

Random assignment ensures that any difference between groups recorded at the end of an experiment can be attributed to the experimental procedures. It refers to how you arrange the participants into required groups (different treatment and control groups). In the case of non-random assignment, the two major problems are generalisation of results and bias, which could lead to skewness in the idea of the experiment.

One of the importance of random assignment in this given experiment is to increase the accuracy of the research and prevent skewness in the idea.

3 0

3 years ago