1. Adam has 2.6 gallons of red paint, 2.35 gallons of white paint, and 2 5/8 gallons of blue paint. If he wants to use up the ca
1 answer:
You might be interested in
Answer:
The general limit exists at <em>x</em> = 9 and is equal to 300.
Step-by-step explanation:
We want to find the general limit of the function:
By definition, a general limit exists at a point if the two one-sided limits exist and are equivalent to each other.
So, let's find each one-sided limit: the left-hand side and the right-hand side.
The left-hand limit is given by:
<h3>Since the given function is a polynomial, we can use direct substitution. This yields:
Evaluate:
Therefore:
The right-hand limit is given by:
Again, since the function is a polynomial, we can use direct substitution. This yields:
Evaluate:
Therefore:
Thus, we can see that:
Since the two-sided limits exist and are equivalent, the general limit of the function does exist at <em>x</em> = 9 and is equal to 300.
Answer:
The Correct Answers are
When (1 ,2) is substituted into the first equation, the equation is true.
When (1 ,2) is substituted into the second equation, the equation is true.
When (1 ,2) is substituted into the second equation, the equation is true.
Step-by-step explanation:
Given:
..............Equation ( 1 )
.............Equation ( 2 )
To Show:
order pair ( 1, 2) True for Which Equation
Solution:
The Correct Statements are
When (1 ,2) is substituted into the first equation, the equation is true.
For Equation ( 1 )
Put x = 1 and y =2 in equation 1 we get
∴ Left hand side = Right hand side
Hence True
When (1 ,2) is substituted into the second equation, the equation is true.
For Equation ( 2 )
Put x = 1 and y = 2 in equation 2 we get
∴ Left hand side = Right hand side
Hence True
The ordered pair (1 , 2) is a solution to the system of linear equations.
∴ From above Both are True,
Hence True
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (- 1, 0)
m = =
= 1