Answer:
(3a + 2b)3
Step-by-step explanation:
STEP
1 :
Equation at the end of step 1
(((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3
Step 2:
(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3
Step 3:
(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3
Step 4:
((33a3 + (2•33a2b)) + (22•32ab2)) + 23b3
Step 5:
Factoring: 27a3+54a2b+36ab2+8b3
Answer:
45 dogs
Step-by-step explanation:
so she has $550 and she did 20 cats and it costs $5 per cat and 5 x 20 is $100 and $550 - $100 = 450 and 450 divided by 10 ( because it's $10 per dog) is 45.
We can use the points (2, -2) and (4, -1) to solve.
Slope formula: y2-y1/x2-x1
= -1-2/4-(-2)
= -3/6
= -1/2
Point slope form: y - y1 = m(x - x1)
y - 2 = -1/2(x + 2)
Solve for y-intercept.
-2 = -1/2(2) + b
-2 = -1 + b
-2 + 1 = -1 + 1 + b
-1 = b
Slope Intercept Form: y = mx + b
y = -1/2x - 1
______
Best Regards,
Wolfyy :)
Answer:
- Decreasing
Step-by-step explanation:
im not sure of the last two but the others are for sure a no
If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show
Let 
. Compute the inverse:
![f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}](https://tex.z-dn.net/?f=f%5Cleft%28f%5E%7B-1%7D%28x%29%5Cright%29%20%3D%20%5Csqrt%7B1%20%2B%20f%5E%7B-1%7D%28x%29%5E3%7D%20%3D%20x%20%5Cimplies%20f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%5E2-1%7D)
and we immediately notice that ![f^{-1}(x+1)=\sqrt[3]{x^2+2x}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%2B1%29%3D%5Csqrt%5B3%5D%7Bx%5E2%2B2x%7D)
.
So, we can write the given integral as
Splitting up terms and replacing 
in the first integral, we get
