12x-4y=16
Isolate Y:
Subtract 12x from both sides
-4y=-12x+16
Divide by -4
y=3x-4
Therefore the slope is 3
An explanatory variable is a type of independent variable. A response variable is a type of dependent variable. An explanatory variable is used to predict or explain differences in the response variable.
The first coordinate corresponds to independent variable and the second coordinate corresponds to dependent variable.
Since independent variable takes value 5 and dependent variable takes value 15, then the point (5,15) would be the point when plotted on a scatterplot.
Answer: correct choice D
I got 10! [_-_]-{-_-}-(_-_)
Let us start with assuming the amount of coffee worth $20 a pound to be "x" pounds.
Now she wants to mix "x" pounds of $20 coffee with 70 pounds of $90 coffee.
So the mixture would be (x + 70) pounds.
And the value of mixture would be = 20·x + (90)·(70) = (20x + 6300) dollars.
She want to sell this mixture at rate of $30 a pound. Her earning would be = 30·(x + 70) = (30x + 2100) dollars.
We know that the value of mixture would be equal to her earnings.
30x + 2100 = 20x + 6300
30x - 20x = 6300 - 2100
10x = 4200
x = 420
So, 420 pounds of $20 coffee would be used.
A horizontal translation is expressed by transforming
If 
is positive, the function is translated to the left. If is negative, the function is translated to the right.
So, a 3-units left shift is given by 
. So you have
