3 years ago

Use the substitution method to solve the system of equations. Choose the

1 answer:

4 0

The answer is C because if you substitute in X-6 for the y in the first equation (since X-6 is also equal to y), you get 2x=16 which means x=8. There is only one option where 8 is equal to X, but just to check you can substitute it back into either of the original equations to make sure that y=2.

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Salem has 150 cookies to sell. Each cookie is one of four types. . 1/6 of cookies are oatmeal raisin. . 1/4 of cookies are sugar

ValentinkaMS [17]

Answer: 22 double chocolate cookies

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25 oatmeal raisin

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3 years ago

mark's soup recipe makes 6 servings and uses 4 carrots and 2 potatoes. How many carrots and potatoes does he need for 15 serving

VLD [36.1K]

Let’s see, for 6 servings he needed 4 carrots, meaning every carrot was equal to 1.5 servings. 15/1.5 is 10, 10 carrots for 15 servings.

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3 years ago

Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by

elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate $x^4$ .

We have

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h$

Expand the numerator using the binomial theorem, then simplify and compute the limit.

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}$

In general, the derivative of a power function $f(x) = x^n$ is $\frac{df}{dx} = nx^{n-1}$ . (This is the aptly-named "power rule" for differentiation.)