Answer:
- slope = 3/2
- y-intercept = 3
- x-intercept = -2
Step-by-step explanation:
The slope is the coefficient of x when the equation is of the form ...
y = (something).
Here, we can put the equation in that form by subtracting 12x and dividing by the coefficient of y:
12x -8y = -24 . . . . . given
-8y = -12x -24 . . . . .subtract 12x
y = 3/2x +3 . . . . . . . divide by -8
This is the "slope-intercept" form of the equation. Generically, it is written ...
y = mx + b . . . . . . where m is the slope and b is the y-intercept
So, the above equation answers two of your questions:
slope = 3/2
y-intercept = 3
__
The x-intercept is found fairly easily from the original equation by setting y=0:
12x = -24
x = -24/12 = -2 . . . . . the x-intercept
_____
A graph of the equation can also show you these things. The graph shows a rise of 3 units for a run of 2, so the slope is rise/run = 3/2. The line crosses the axes at x=-2 and y=3, the intercepts.
Answer:
D. (-∞,4]
Step-by-step explanation:
The range is the y values
The lowest y values is negative infinity
The highest y values is 4
( - inf, 4]
We use the parentheses since we cannot get to negative infinity, the bracket since we reach 4
Slope = 1/2
Hope this helps! Have a great day :)
To identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.
In a research study, there are typically two main variables that direct the scientific enquiry. They are:
- Dependent Variable, and
- Independent Variable
The independent variable causes a change in the dependent variable, i.e. the dependent variable receives the <em>effect</em>, the independent variable is the <em>cause </em>of the change.
It is very easy to identify the dependent variable in any testable hypothesis once you are able to pick out which variable is causing a change in the other.
For example, let's say the topic of a research is: <em>The Impact of Sunlight on Germination Rate of Seedlings.</em>
Here, <em>Sunlight </em>is the independent variable affecting <em>Germination Rate</em>.
The dependent variable here would be: <u><em>Germination Rate.</em></u>
Therefore, to identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.
Learn more here:
brainly.com/question/24657192