Which is equivalent to 16 Superscript three-fourths x?

What's the slope of the line passing through the point help

scoray [572]

Answer:

the slope is 3/4

Step-by-step explanation:

The formula for slope is

m = (y2 - y1)/(x2 - x1)

The two points are given as (-1, 1) or (x1, y1), and (3, 4) or (x2, y2)

Plug those value into the formula and simplify

m = (4 - 1)/(3 - (-1))

m = 3/(3 + 1)

m = 3/4

6 0

4 years ago

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Find the 2nd Derivative: 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).

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

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

Simplify the equation.

$\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4x^0 - 0)$
$\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4(1) - 0)$
$\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4 )$

Therefore, this is the 2nd derivative of the function f(x).

We can say that: $f''(x)=36x^2+4$

6 0

3 years ago

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Which variable expression matches the word phrase? Column A Column B

erik [133]

1. the sum of 12 and the quotient of 9 and a number

The responder's answer is not given but it can be 12 + (9 / n)

2. the difference of 12 and the product of 9 and a number

The responder's answer would be c. 12 – 9y

3. the difference of 12 and the quotient of 9 and a number

The responder's answer would be b. 12 – (9 ÷ y)

4. 12 more than quotient of a 9 and number

The responder's answer would be a. 12 + (9 ÷ y)

4 0

3 years ago

Calculate the volume of this cylinder, giving your answer to 1 decimal place. 9 cm 20 cm

Marat540 [252]

Answer: 0.45

Step-by-step explanation:

7 0

3 years ago

Which expression is equivalent to the given expression?

Whitepunk [10]

Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

ln(3x+3)is equivalent.

7 0

3 years ago