Solve the inequality
(x+5)(x-1)^2(x-3)<0

-5 < x < 1 or 1 < x < 3

Step-by-step explanation:

First, you must solve the inequality. Using PEMDAS, you work from left to right save for the problem in the parentheses that has an inequality. Then you get x^4 − 18^2 + 32x − 15 < 0. Then, you factor the left side of the equation. you should put the factors equal to 0.

x − 1 = 0  

x − 1 = 0  

x − 3 = 0

x + 5 = 0

You find the x value and plug it into the original inequality. And, you should be able to find the numbers that work when inputted in the inequality.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076