Answer:
(a) 
(b) 
(c) 
Step-by-step explanation:
The formula for calculating the equation of line in point - slope form is given as :
where m is the slope
Given from the question :
m = - 4
= 2
= 6
Substituting into the formula , we have :




Therefore :
(a) the equation of the line in point - slope form is 
(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give : 
(c) the equation of line in standard form is ; 
Expressions are mathematical statements represented with the variables
The value of 12x^-3 y-1 for x=-1 and y=5 is - 12/5
<h3>How to determine the value of the variable</h3>
The expression is given as:

When x = -1, the expression becomes

Evaluate the exponent

When y = 5, the expression becomes

Evaluate the exponent
- 12/5
Hence, the value of 12x^-3 y-1 for x=-1 and y=5 is - 12/5
Read more about expressions at:
brainly.com/question/723406
Answer:
i actually dont know im so sorry but i will keep trying to find the answer
Answer:
1/6
Step-by-step explanation:
We want to find how long it takes for the bacteria to lose half its size. We can do this by taking one point of the bacteria and finding how long it takes to go to half its size. When t=0, 9300 * (1/64)^t = 9300 * 1 = 9300 as anything to the power of 0 is 1. Therefore, we can solve for t when the end result of the bacteria is 9300/2= 4650, making our equation
4650 = 9300 * (1/64)^t
divide both sides by 9300
1/2 = (1/64)^t
First, we can tell that 2^6 = 64*. Because of this, we can say that (1/2)^6 = 1^6/2^6 = 1/64, so (1/64)^(1/6) = 1/2. We know this because
(1/2)^6 = 64
take the 6th root of both sides
(1/2) = (64)^(1/6)
. This means that t=1/6, so the bacterial culture loses 1/2 of its size every 1/6 seconds
* if this is harder to figure out, e.g. 3 and 729, we can plug (log₃729) into a calculator