Solve for x, given the equation 2 square root of x+3-4=-8

What does 150 / (-2) equal?

Nookie1986 [14]

Answer:

-75

Step-by-step explanation:

I just checked on a calculator

6 0

2 years ago

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Find the differential coefficient of <br><img src="https://tex.z-dn.net/?f=e%5E%7B2x%7D%281%2BLnx%29" id="TexFormula1" title="e^

Gemiola [76]

Answer:

$\rm \displaystyle y' = 2 {e}^{2x} + \frac{1}{x} {e}^{2x} + 2 \ln(x) {e}^{2x}$

Step-by-step explanation:

we would like to figure out the differential coefficient of $e^{2x}(1+\ln(x))$

remember that,

the differential coefficient of a function y is what is now called its derivative y', therefore let,

$\displaystyle y = {e}^{2x} \cdot (1 + \ln(x) )$

to do so distribute:

$\displaystyle y = {e}^{2x} + \ln(x) \cdot {e}^{2x}$

take derivative in both sides which yields:

$\displaystyle y' = \frac{d}{dx} ( {e}^{2x} + \ln(x) \cdot {e}^{2x} )$

by sum derivation rule we acquire:

$\rm \displaystyle y' = \frac{d}{dx} {e}^{2x} + \frac{d}{dx} \ln(x) \cdot {e}^{2x}$

Part-A: differentiating $e^{2x}$

$\displaystyle \frac{d}{dx} {e}^{2x}$

the rule of composite function derivation is given by:

$\rm\displaystyle \frac{d}{dx} f(g(x)) = \frac{d}{dg} f(g(x)) \times \frac{d}{dx} g(x)$

so let g(x) [2x] be u and transform it:

$\displaystyle \frac{d}{du} {e}^{u} \cdot \frac{d}{dx} 2x$

differentiate:

$\displaystyle {e}^{u} \cdot 2$

substitute back:

$\displaystyle \boxed{2{e}^{2x} }$

Part-B: differentiating ln(x)•e^2x

Product rule of differentiating is given by:

$\displaystyle \frac{d}{dx} f(x) \cdot g(x) = f'(x)g(x) + f(x)g'(x)$

let

$f(x) \implies \ln(x)$
$g(x) \implies {e}^{2x}$

substitute

$\rm\displaystyle \frac{d}{dx} \ln(x) \cdot {e}^{2x} = \frac{d}{dx}( \ln(x) ) {e}^{2x} + \ln(x) \frac{d}{dx} {e}^{2x}$

differentiate:

$\rm\displaystyle \frac{d}{dx} \ln(x) \cdot {e}^{2x} = \boxed{\frac{1}{x} {e}^{2x} + 2\ln(x) {e}^{2x} }$

Final part:

substitute what we got:

$\rm \displaystyle y' = \boxed{2 {e}^{2x} + \frac{1}{x} {e}^{2x} + 2 \ln(x) {e}^{2x} }$

and we're done!

6 0

3 years ago

Al walks 4 1/2 miles in 3/4 of an hour. How far will he walk if he walks 2 times slower?

Paraphin [41]

Answer:

9

Step-by-step explanation:

7 0

3 years ago

State the equation of the line described.

nikdorinn [45]

Answer:

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes. This means that when you multiply the slopes of the perpendicular lines, its product = -1.

Given the linear equation, y = -9x - 1, and the point, (-3, 7):

Since the slope of the given linear equation is: m1 = -9, then it means that the slope of the other line (m2) = 1/9:

m1 × m2 = -1

-9 × 1/9 = -1

Next, we need to find the y-intercept of the other line. The y-intercept is the point on the line where it crosses the y-axis, and has coordinates (0, <em>b</em>). It is also the value of the y-coordinate when its corresponding x-coordinate = 0.

Using the given point, (-3, 7), and the slope of the other line, m2 = 1/9:

We need to substitute these values into the slope-intercept form, y = mx + b, to solve for the y-intercept, (b):

y = mx + b

7 = 1/9(-3) + b

7 = -1/3 + b

Add 1/3 to both sides of the equation to solve for b:

7 + 1/3 = 1/3 -1/3 + b

22/3 = b

Therefore, the y-intercept (b) = 22/3.

The linear equation of the other line is: y = 1/9x + 22/3

4 0

2 years ago

3. Mrs. Brown has 9 cups of flour. Each

hodyreva [135]

Answer:

3/4 of a batch

Step-by-step explanation:

9 out of the total 12 cups is what she has. So this converts into the fraction of 3/4 when simplified so she can make 3/4 of a batch.

6 0

3 years ago

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