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3 years ago

2x + y = 3

Mathematics

1 answer:

miv72 [106K]3 years ago

3 0

Answer:

C) 5x=5

Step-by-step explanation:

Multiplying an equation by a number means multiplying all its terms by that number.

Multiplying equation one by 2,

2(2x+y=3)

4x+2y=6

Adding that to equation 2,

4x+2y=6

+ x-2y=-1

The result is 5x=5

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3 years ago

2x^2+3x-2, a=0 How do I find the derivative?

Ghella [55]

You can use the definition:

$\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h$

Then if

$f(x) = 2x^2+3x-2$

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$f(x+h) = 2(x+h)^2+3(x+h) - 2 = 2x^2 + 4xh+2h^2+3x+3h-2$

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$\displaystyle f'(x) = \lim_{h\to0}\frac{(2x^2+4xh+2h^2+3x+3h-2)-(2x^2+3x-2)}h \\\\ f'(x) = \lim_{h\to0}\frac{4xh+2h^2+3h}h \\\\ f'(x) = \lim_{h\to0}(4x+2h+3) = \boxed{4x+3}$

I'm guessing the second part of the question asks you to find the tangent line to f(x) at the point a = 0. The slope of the tangent line to this point is

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and when a = 0, we have f(a) = f (0) = -2, so the graph of f(x) passes through the point (0, -2).

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3 years ago

Hello! How to do question 5 (iii)?

Colt1911 [192]

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2 years ago

If f(x)=4x-2/3 what would f(a+3) be

blsea [12.9K]

Answer:

it will look like this 4(a+3)-2/3

Step-by-step explanation:

look since the equation "a+3" replaced for the place of "x" in f(x), you replace it on the equation "4x- 2/3" and just solve

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3 years ago

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