3 years ago

Plz help me with this

Mathematics

1 answer:

9966 [12]3 years ago

8 0

Answer: c) y = ln(5x) - 2

Step-by-step explanation:

$y=\dfrac{1}{5}e^{x+2}\\\\\text{Swap the x's and y's. Then solve for y:}\\\\x=\dfrac{1}{5}e^{y+2}\\\\\\\text{Multiply both sides by 5:}\\5x=e^{y+2}\\\\\\\text{Apply ln to both sides:}\\ln(5x)=ln\ e^{y+2}\\\\\text{Simplify:}\\ln(5x)=y+2\\\\\\\text{Subtract 2 from both sides:}\\ln(5x)-2=y$

You might be interested in

What is the area of yhe following circle?either an exact answer in terms of or use 3.14 for and enter your ansert as a decimal

Harman [31]

Answer and Step-by-step explanation:

If the radius is 5, then we can plug 5 into the area of a circle equation.

A = $\pi r^{2}$

A = $\pi (5)^{2}$

A = 25 $\pi$

The area of a circle with radius 5 is 25 $\pi$ .

#teamtrees #PAW (Plant And Water)

8 0

3 years ago

Solve the inequaliy: (x^2+2)(x−2)^2(6−2x)>0

marin [14]

The answer is x<2
-2x^5 + 14x^4 - 36x^3 + 52x^2 - 64x + 48=0

7 0

4 years ago

If you change the sign of a point's x-coordinate,how does the location of the point change?

yuradex [85]

If you change the point's x-coordinate, the point will move either to the left or the right, depending on if the number you change is negative or positive.

4 0

3 years ago

When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the formula f(t)=0.9t^3−0.6t^0.5+10, w

Nataly [62]

Step-by-step explanation:

the answer is in the image above