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3 years ago

PLEASE HELP Simplify (3x2 − 2) + (2x2 − 6x + 3).

Mathematics

2 answers:

leva [86]3 years ago

6 0

The whole equation simplified to one answer is 5

VARVARA [1.3K]3 years ago

6 0

3x^2-2+2x^2-6x+3=5x^2-6x+1

If you want to factor this:
5x^2-5x-x+1=5x(x-1)-1(x-1)=5x-1(x-1)

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Find the derivative

zalisa [80]

First use the chain rule; take $y=\dfrac{x+5}{x^2+3}$ . Then

$\dfrac{\mathrm df}{\mathrm dx}=\dfrac{\mathrm df}{\mathrm dy}\cdot\dfrac{\mathrm dy}{\mathrm dx}$

By the power rule,

$f(x)=y^2\implies\dfrac{\mathrm df}{\mathrm dy}=2y=\dfrac{2(x+5)}{x^2+3}$

By the quotient rule,

$y=\dfrac{x+5}{x^2+3}\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^2+3)\frac{\mathrm d(x+5)}{\mathrm dx}-(x+5)\frac{\mathrm d(x^2+3)}{\mathrm dx}}{(x^2+3)^2}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^2+3)-(x+5)(2x)}{(x^2+3)^2}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3-10x-x^2}{(x^2+3)^2}$

$\dfrac{\mathrm df}{\mathrm dx}=\dfrac{2(x+5)}{x^2+3}\cdot\dfrac{3-10x-x^2}{(x^2+3)^2}$

$\implies\dfrac{\mathrm df}{\mathrm dx}=\dfrac{2(x+5)(3-10x-x^2)}{(x^2+3)^3}$

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2 years ago

???????help for extra points

Ghella [55]

Answer:

-84 + 10i

Step-by-step explanation:

first, you want to take out the negative symbol from the square root, and we know that i = sqrt(-1) (sqrt = square root)

so the equation would look like

i x sqrt(100) - 84

solve for the square root of 100 which is 10

now the equation is

10i - 84

that is the answer and you can flip the equations so it can look like the actual answer

-84 + 10i

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3 years ago

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jeka57 [31]

Answer

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Step-by-step explanation:

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2 years ago

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tekilochka [14]

I'm not gonna give the answer because you have to solve it. Sorry. But I'll help you get it.

Step 1: solve the equation for each angle
Step 2: Add the totals from each angle
Step 3: Divide the total by 360
Step 4: You got your answer

I hope this helped! I'm sorry I answered really late.

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3 years ago

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Suppose the mean and standard deviation of the GPAs at Loyola are

Basile [38]

Answer:

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Step-by-step explanation:

A z-score of 2.010 means that Catherine's GPA is 2.01 standard deviations above the mean. Therefore, Catherine's GPA is $\bar{x}+2.01\sigma=1.963+2.01(0.257)\approx2.48$

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