Answer:

Step-by-step explanation:
We have been an integral
. We are asked to find the general solution for the given indefinite integral.
We can rewrite our given integral as:


Now, we will apply the sum rule of integrals as:


Using common integral
, we will get:

Now, we will use power rule of integrals as:




We know that integral of a constant is equal to constant times x, so integral of 1 would be x.

Therefore, our required integral would be
.
Answer:
27
Step-by-step explanation:
<span>Cost of material =$84
Selling Price of each bracelet=$3.50
Let b be the number of bracelets to be sold.
Let P be the profit.
To get a profit Selling price should be greater than cost price.
Profit = Selling Price - Cost price
$3.50 * b would give the total selling price.
Therefore,
P=3.50b - 84</span>
Answer:
X = {0, -1.166666667}
Step-by-step explanation:
Simplifying
8X(6X + 7) = 0
Reorder the terms:
8X(7 + 6X) = 0
(7 * 8X + 6X * 8X) = 0
(56X + 48X2) = 0
Solving
56X + 48X2 = 0
Solving for variable 'X'.
Factor out the Greatest Common Factor (GCF), '8X'.
8X(7 + 6X) = 0
Ignore the factor 8.
Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:
Simplifying
X = 0
Solving
X = 0
Move all terms containing X to the left, all other terms to the right.
Simplifying
X = 0
Subproblem 2
Set the factor '(7 + 6X)' equal to zero and attempt to solve:
Simplifying
7 + 6X = 0
Solving
7 + 6X = 0
Move all terms containing X to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 6X = 0 + -7
Combine like terms: 7 + -7 = 0
0 + 6X = 0 + -7
6X = 0 + -7
Combine like terms: 0 + -7 = -7
6X = -7
Divide each side by '6'.
X = -1.166666667
Simplifying
X = -1.166666667
Don't get mad if it is wrong I had to do the math fast.