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2 years ago

Which table represents a proportional relationship?

Mathematics

1 answer:

crimeas [40]2 years ago

5 0

Answer: d

Step-by-step explanation: because every x has 1 y

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Solve for m f=gmn/d^2

Serggg [28]

f = gmn/d²

gmn = fd²

m = fd²/gn

4 0

3 years ago

Alexa has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 8 ounc

den301095 [7]

Answer:

Step-by-step explanation:

8sc and 16 lc

4 0

3 years ago

Tyler has $125.00 to spend on books and CDs. He buys one book for $30.00. He wants to spend the rest on CDs that are on sale for

musickatia [10]

Answer:

He can buy 10 cds

Step-by-step explanation:

125-30=95

95 divided by 9 = 10.5555555556

5 0

3 years ago

Find the 2nd Derivative:<br> f(x) = 3x⁴ + 2x² - 8x + 4

ad-work [718]

Answer:

$f''(x)=36x^2+4$

Step-by-step explanation:

Let's start by finding the first derivative of $f(x)= 3x^4+2x^2-8x+4$ . We can do so by using the power rule for derivatives.

The power rule states that:

$\frac{d}{dx} (x^n) = n \times x^n^-^1$

This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.

Another rule that we need to note is that the derivative of a constant is 0.

Let's apply the power rule to the function f(x).

$\frac{d}{dx} (3x^4+2x^2-8x+4)$

Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.

$\frac{d}{dx} (3x^4+2x^2-8x+4) = ((4)3x^4^-^1+(2)2x^2^-^1-(1)8x^1^-^1+(0)4)$

Simplify the equation.

$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x^1-8x^0+0)$
$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8(1)+0)$

$\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8)$
$f'(x)=12x^3+4x-8$

Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).