Answer:
-1
Step-by-step explanation:
-2+(-1)÷3
-2-1÷3
-3÷3
-1
Answer:
A. Infinitely many
Step-by-step explanation:
9x + 27 = 9(x + 2) + 9
Distribute on the right side.
9x + 27 = 9x + 18 + 9
Combine like terms on the right side.
9x + 27 = 9x + 27
Subtract 27 from both sides.
9x = 9x
Divide both sides by 9.
x = x
x = x is a true statement for every value of x. Therefore, any value you substitute in for x will make the original equation true. That means there is a infinite number of solutions.
Answer: A. Infinitely many
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Answer:
y = -
x + 1
Step-by-step explanation:
The equation of a line is: y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope using the points (3, 0) and (0, 1).
Slope = 
= 
Thus, the slope of the line is -
.
Based on the graph, the y-intercept is 1.
Thus, the equation of the line is: y = -
x + 1.
Answer:
The exponential model is
.
Step-by-step explanation:
The exponential model can be modelled by the following mathematical expression:
(1)
Where:
- Independent variable.
- Dependent variable.
- Coefficients.
If we know that
and
, then we get the following system of equations:
(2)
(3)
If we divide (3) by (2), we calculate the value of
:



And by (2), we determine the value of
:


The exponential model is
.