First we expand the brackets:
-2a + 8 + 6a = 36
4a + 8 = 36
We then need to get the a's onto one side and the numbers onto the other:
4a = 28
We can then divide to get an x by itself:
a = 28/4 = 7
The equation that models this situation is z = 7.9y + 12.
A linear equation is a function that has a single variable raised to the power of 1. An example is x = 4y + 2.
Where:
- 2 is the constant
- x = dependent variable
- y = independent variable
From the equation given, 12 would be the constant, the independent variable would be 7.9 and z would be the dependent variable.
z = 7.9y + 12
Here is the complete question: A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began. write an equation in standard form to model the linear situation.
A similar question was answered here: brainly.com/question/2238405
Equation for this line is y = -2x + (-4)
<u>Step-by-step explanation:</u>
Step 1:
Slope intercept equation for a line is of the form y= mx + b, where m is the slope and b is the y-intercept.
Step 2:
Calculate slope of the given line.
⇒ m = (y2 - y1)/(x2 - x1) = (2 - (-2))/(-3 - (-1)
⇒ m = 4/-2 = -2
Step 3:
Find y-intercept
⇒ b = - 4
Step 4:
Substitute values to get equation
⇒ y = -x -4 or y = - (x + 4)
Answer:
Step-by-step explanation:
5 3/4 + 2 1/2
Add the whole numbers first
5 + 2
Add the fractions next
3/4 + 1/2 = 3/4 + 2/4 = 5/4 = 1 and 1/4
The total is
7 + 1 1/4 = 8 1/4
