he payed 58 dollars to rent a bike for two hours because 40+9=49 & 49+9=58
The equation that runs through the location (4,-6) has the slope-intercept form,
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<h2>Formation of the equation</h2>
A line's equation written in the slope-intercept form:
y=mx+b
where m= slope & b= y-intercept
The slope of two parallel lines is equal.
Currently, we know the line's equation:

here, slope, m= 
A line equation is created by adding the slope's value and the point's coordinates (4, -6):

⇒ -6=-3 +b [adding 3 to both sides]
⇒-3=b
⇒b= -3
Hence the solution is
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Learn more about slope-intercept form here:
brainly.com/question/9682526
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Answer:
Step-by-step explanation:
I assume that you mean
sec(x)-tan(x) = 1 / ( sec(x) + tan(x) ) , right ?
then this is equivalent to
[ sec(x) - tan(x) ] x [ sec(x) + tan(x) ] = 1
let s evaluate it, we got
sec2(x) - sec(x)tan(x) + - sec(x)tan(x) - tan2(x) = sec2(x) - tan2(x)
= (1 - sin2(x) ) / cos2(x) = cos2(x) / cos2(x) = 1
as cos2(x) + sin2(x) = 1
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:

Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:

Simplify:

Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>