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Bond [772]
2 years ago
10

Expressions are equivalent to -7+3(-4e-3)−7+3(−4e−3)

Mathematics
1 answer:
oee [108]2 years ago
3 0

Answer:

-7 - 12e - 9

I’m not sure what your asking for but that’s the simplified version of that’s what your looking for. And from there you can get the answer by simplifying the one I gave you which would give you

-12e - 16 ;)

Step-by-step explanation:

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3^x.2x = 3^x + 2x-1​
sattari [20]

Answer:

x=0

Step-by-step explanation:

answer x=0

3 0
2 years ago
Find dy/dx if f(x) = (x + 8)^3x.
vlabodo [156]
This is quite a complex problem. I wrote out a really nice solution but I can't work out how to put it on the website as the app is very poorly made. Still, I'll just have to type it all in...

Okay so you need to use a technique called logarithmic differentiation. It seems quite unnatural to start with but the result is very impressive.

Let y = (x+8)^(3x)

Take the natural log of both sides:

ln(y) = ln((x+8)^(3x))

By laws of logarithms, this can be rearranged:

ln(y) = 3xln(x+8)

Next, differentiate both sides. By implicit differentiation:

d/dx(ln(y)) = 1/y dy/dx

The right hand side is harder to differentiate. Using the substitution u = 3x and v = ln(x+8):

d/dx(3xln(x+8)) = d/dx(uv)

du/dx = 3

Finding dv/dx is harder, and involves the chain rule. Let a = x+ 8:

v = ln(a)
da/dx = 1
dv/da = 1/a

By chain rule:

dv/dx = dv/da * da/dx = 1/a = 1/(x+8)

Finally, use the product rule:

d/dx(uv) = u * dv/dx + v * du/dx = 3x/(x+8) + 3ln(x+8)

This overall produces the equation:

1/y * dy/dx = 3x/(x+8) + 3ln(x+8)

We want to solve for dy/dx, achievable by multiplying both sides by y:

dy/dx = y(3x/(x+8) + 3ln(x+8))

Since we know y = (x+8)^(3x):

dy/dx = ((x+8)^(3x))(3x/(x+8) + 3ln(x+8))

Neatening this up a bit, we factorise out 3/(x+8):

dy/dx = (3(x+8)^(3x-1))(x + (x+8)ln(x+8))

Well wasn't that a marathon? It's a nightmare typing that in, I hope you can follow all the steps.

I hope this helped you :)
8 0
3 years ago
I need help remembering the steps too solve 6x +9 =12
svp [43]

Answer:

x= 1/2

Step-by-step explanation:

6x+9=12

Step 1: Subtract 9 from both sides.

6x+9−9=12−9

6x=3

Step 2: Divide both sides by 6.

6x/6= 3 /6

And Your Answer Will Be:

x= 1/2

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=g%28t%29%20%3D%20%20%7Bt%7D%5E%7B3%7D%20%20%2B%20%20%7B2t%7D%5E%7B2%7D%20%20-%2010t%20-%208" i
-Dominant- [34]

Answer:

Step-by-step explanation:

for example

We have to write the polynomial P(x) = 5x^3 -2x^2 + 5x - 2 as a product of linear factors.

P(x) = 5x^3 -2x^2 + 5x - 2

=> P(x) = x^2( 5x - 2) + 1( 5x - 2)

=> P(x) = (x^2 + 1)(5x - 2)

4 0
2 years ago
What’s the perimeter and area of 30ft and 18ft
kicyunya [14]

Answer: 42 and 54

Step-by-step explanation:

18+18=36

3+3=6

36+6=42(Perimeter)

18x3=54(Area)

4 0
3 years ago
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