Answer:

Step-by-step explanation:
We want to rewrite the following as a single logarithm:

We introduce logarithm in the first term to get:

Recall that:

We apply this property to get:

This gives:



A. y=-4x-4 where m=-4 and c=-4 for the equation y=mx+c
Answer:
0.0022x
Step-by-step explanation:
Given that,
The credit card company raised her APR from 14% to 15.2%.
Her average daily balance this month is x dollars.
We need to find the algebraically the increase in this month's finance charge due to the higher APR. It can be calculated as follows :

So, the required increase in the month's finance is 0.0022x.
Answer:
d. 11:15
Step-by-step explanation:
1) officer1: distance 75 miles, velocity 60mil/h; officer2: distance 25 miles, velocity 55mil/h;
2) time, which is spent officer1 is: 75/60=1.25[h]=75 [min]. If the officer1 leaves his office at 10:00, the arrival time is 11:15;
3) time which is spent officer2 is: 25/55=5/11[h]≈27[min]. The arrival time is 10:27.
4) finally, the both officers are in the required location at 11:15.
Answer:
x = -1/5, x = 1
Step-by-step explanation:
Maybe you want to find x.
Subtract the right side and collect terms.
6x^2 +4x^2 -6x -4 -(2x -2) = 0
10x^2 -8x -2 = 0
5x^2 -4x -1 = 0 . . . . . . divide by 2
(5x +1)(x -1) = 0 . . . . . . factor
Solutions are the values of x that make these factors zero:
5x +1 = 0 ⇒ x = -1/5
x -1 = 0 ⇒ x = 1
Solutions are x = -1/5, x = 1.