<span>f(x) = -6x +6
to find inverse
x = -6y + 6
6y = 6 - x
y = 1 - x/6
Answer
</span>f^–1(x)= 1 - x/6
Answer:
The length of the diagonal of the trunk is 56.356011 inches
Step-by-step explanation:
According to the given data we have the following:
height of the trunk= 26 inches
length of the trunk= 50 inches
According to the Pythagorean theorem, to calculate the length of the diagonal of the trunk we would have to calculate the following formula:
length of the diagonal of the trunk=√(height of the trunk∧2+length of the trunk∧2)
Therefore, length of the diagonal of the trunk=√(26∧2+50∧2)
length of the diagonal of the trunk=√3176
length of the diagonal of the trunk=56.356011
The length of the diagonal of the trunk is 56.356011 inches
Answer:
hello : x = (ln(20))/3
Step-by-step explanation:
4 + e3x = 24?
e3x = 24 - 4
e3x = 20
3x = ln(20)
x = (ln(20))/3
<span>To write 215% as a decimal you can approach the problem two ways. You can divide 215 by 100.
215/100 = 2.15
You can also move the decimal two places to the left 215.0 = 2.15
To write 2.15 as a fraction you will place 215 over 100. {215/100}. You will then want to write this fraction in it’s simplest form. The greatest common denominator is 5 so you will then divide the numerator and denominator by 5.
215/5 = 43
100/5 = 20
215/100 = 43/20
To write this fraction as a mixed fraction you would divide 43 by 20.
43 ÷ 20 = 2 with a remainder of 3
This is written as: 2 3/20</span>
Answer:
Possible derivation:
d/dx(a x + a y(x) + x a + y(x) a)
Rewrite the expression: a x + a y(x) + x a + y(x) a = 2 a x + 2 a y(x):
= d/dx(2 a x + 2 a y(x))
Differentiate the sum term by term and factor out constants:
= 2 a (d/dx(x)) + 2 a (d/dx(y(x)))
The derivative of x is 1:
= 2 a (d/dx(y(x))) + 1 2 a
Using the chain rule, d/dx(y(x)) = (dy(u))/(du) (du)/(dx), where u = x and d/(du)(y(u)) = y'(u):
= 2 a + d/dx(x) y'(x) 2 a
The derivative of x is 1:
= 2 a + 1 2 a y'(x)
Simplify the expression:
= 2 a + 2 a y'(x)
Simplify the expression:
Answer: = 2 a
Step-by-step explanation:
