Answer:
Correct option: first one -> y = (1/3)x + (10/3)
Step-by-step explanation:
The linear function that represents a line is:
y = ax + b
Where a is the slope and b is the y-intercept.
First we need to find the slope of the line that goes through (0, -3) and (3, -2).
Using both points, we can find the equation of the line:
x = 0 -> y = -3
-3 = a*0 + b
b = -3
x = 3 -> y = -2
-2 = 3a - 3
3a = 1
a = 1/3
The parallel line needs to have the same slope as the line, so we can model the parallel line with the following equation:
y = (1/3)x + b
The parallel line goes through the point (-4, 2), so we have:
x = -4 -> y = 2
2 = (1/3)*(-4) + b
b = 2 + (4/3)
b = 10/3
So the equation of the parallel line is:
y = (1/3)x + (10/3)
Correct option: first one
Answer:
All of them are equal to 2.427
Step-by-step explanation:
A = 2.427
B = 2.427
C = 2.427
D = 2.427
Answer:
To Divide a Fraction by a Whole Number:
Multiply the bottom number of the fraction by the whole number. Step 2. Simplify the fraction (if needed)
Step-by-step explanation:
The obtained transformed data will show a linear relation when you graph log(y) vs x
This is the mathematical demonstration:
Exponential function: y= A (B)^x
log(y) = log A + x log B
log(y) = log A + (logB)x
log A is a constant and is the vertical axis-intercept
logB is a constant and is the slope of the graph
x is the independent variable
log A is a constant,
I may be wrong, but it seems as if it's fully simplified...
