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>
You first do 3 + 2, which would equal 5. Then, you would just do 3/5.
Given parameters:
Fraction given to charity = 
Fraction given to wife = 
Unknown:
Fraction given to son and daughter =?
Solution:
Let the total property = x
Fraction given to charity = 
Fraction given to wife =
The remaining was given to son and daughter = F
So;
Total property = fraction given to charity + fraction given to wife + fraction given to son and daughter
x = 
F = x - (
)
F = 0
The son and daughter will not inherit anything
Answer:
The equation of the straight line is 4x +y = 1
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given points are (-1,5) and ( 2,-7)
Slope of the line

slope of the line m = -4
<u><em>Step(ii):-</em></u>
The equation of the straight line passing through the point (-1,5) and having slope 'm' = -4

y - 5 = -4 ( x-(-1))
y -5 = -4 x -4
4 x + y -5 +4=0
4x +y -1 =0
<u><em>Final answer:-</em></u>
The equation of the straight line is 4x +y = 1
<u><em> </em></u>
Answer:
10
Step-by-step explanation:
2x - 3y = 24 ------ (1)
3x + 4y = 2 ------ (2)
(1) × 4,
8x - 12y = 96 ------ (3)
(2) × 3,
9x + 12y = 6 ------ (4)
(3) + (4)
17x = 96 + 6
= 102
x = 102 ÷ 17
= 6
Sub x = 6 into (2),
3(6) + 4y = 2
18 + 4y = 2
4y = 2 - 18
= -16
y = -16 ÷ 4
= -4
Therefore,
x - y = 6 - (-4)
= 6 + 4
= 10
<em>i</em><em> </em><em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em> </em><em>!</em><em>!</em>