Which expression is not equivalent to the opposite of +9?

Mathematics

1 answer:

olganol [36]3 years ago

3 0

Answer:

D. |-9|

Step-by-step explanation:

You might be interested in

A wheelchair ramp rises 1.5 feet for every 18 feet of horizontal distance it covers. Find the rate of change of the ramp

Ierofanga [76]

By definition the rate of change of a function is given by:
$AVR = \frac{Change In Y}{Change In X}$
Or equivalently:
$AVR = \frac{y2 - y1}{x2 - x1}$
Substituting the values given in the problem we have:
$AVR = \frac{1.5}{18}$
Rewriting we have:
$AVR = 0.08$
Answer:
the rate of change of the ramp is:
$AVR = 0.08$

7 0

3 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

wlad13 [49]

Answer:

$\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

$f(x)=\frac{u(x)}{v(x)}\\$ , the derivative is express as

$\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }$

from $y=lnx/x^{2}$

we assign u(x)=lnx and v(x)=x^2

and the derivatives

$\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\$ .

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e $y=lnx\\\frac{dy}{dx}=\frac{1}{x}$