Answer:x=-5 and x=3
Step-by-step explanation:
log(x^2-15)=log(2x)
Cancel log at both sides we get
x^2-15=2x
Collect like terms
x^2-2x-15=0
x^2-3x+5x-15=0
x(x-3)+5(x-3)=0
(x+5)(x-3)=0
x+5=0 x-3=0
x=-5 x=3
Answer:

Step-by-step explanation:
This is the distance formula for cartesian coordinate systems, or your typical xy graph. If given two points to find the distance between, you can assign '1' or '2' to the points, i.e. (1,1) and (2,2) could be: (1,1) is (x1,y1) and (2,2) is (x2,y2). It doesn't matter which point is 1 or 2. If we were to use those example points in this formula, we would have:

We can simplify and come up with:
=
We must remember that square roots can be positive OR negative, HOWEVER, because you are looking for a distance it must be positive
.
Hope this helped!
Answer and Step-by-step explanation:
The computation is shown below;
As we know that
The simple interest is
Simple interest = Principal × rate × time
For Account A, the principal would be
2 = Principal × 3.2% × 3
So, the principal is $20.83
For account B, the principal would be
38.50 = Principal × 2.2% × 30
So, the principal is $58.33
Now the interest for both the accounts are as follows
For account 1
= $20.83 × 3.2%
= $0.67
And, for the account 2
= $58.33 × 2.2%
= $1.28
As it can be seen that the account 2 has the highest interest
The same is to be considered
Answer: x^2 + 3x - 1.
Step-by-step explanation: We need to divide x^3 + 5x^2 +5x-2 by x+2. This is dividing polynomials. Divide each number by x and multiply the quotient by 2 and subtract the answer.
Answer:
y = 7/2x + 2
Step-by-step explanation:
To put the equation in slope intercept form [ y = mx + b ], we need to solve for y.
14x = 6y - 12
~Subtract 6y to both sides
14x - 6y = -12
~Subtract 14x to both sides
-6y = -12 - 14x
~Divide -6 to everything
y = 2 + 7/3x
~Reorder
y = 7/2x + 2
Best of Luck!