Answer:
The 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.
The correct graph is also attached below.
Step-by-step explanation:
We know when two lines meet at a certain point, the point where they meet is called the point of intersection.
We also know that the point of intersection of two lines is termed as the solution of the system of linear equations.
We are given the point (-1, 4) as the solution of the system of linear equations.
It means the two lines meet at x = -1, and y = 4.
In other words,
(x, y) = (-1, 4) is called the point of intersection of the system of linear equations.
Now, if we closely check the graph of these two lines, we can easily figure out that the 3rd from the right side is the graph that represents the solution to the system of linear equations.
The 3rd graph indicates that the two lines meet at x = -1, and y = 4.
Hence, the point of intersection of 3rd graph is:
(x, y) = (-1, 4)
Therefore, the 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.
The correct graph is also attached below.
Answer:
Sam earns more money than Doug in an year
Step-by-step explanation:
The complete question is -
Sam manages a clothing boutique and has an annual salary of $23600. Doug works in a shoe store and is paid 9.40/h for 40 hours each week. Who has the higher gross income each month?
Solution -
Sum of money (in dollars) earned by Doug in one week is equal to
Sum of money (in dollars) earned by Doug in one year is equal to
Hence, Sam earns more money than Doug in an year
Answer:
x<6 just letting you know that / is not meant for division it means a fraction bar
Step-by-step explanation:
1. Group all constants on the right side of the inequality
2x+4<16
Subtract from both sides
(2x+4)-4<16-4
Simplify the arithmetic
2x<16-4
Simplify the arithmetic
2x<12
2. Isolate the x
2x<12
Divide both sides by 2
(2x)/2<12/2
Simplify the fraction
x<12/2
Find the greatest common factor of the numerator and denominator
x<6*2/1*2
Factor out and cancel the greatest common factor
x<6
3. Solution on a coordinate plane
Solution: x<6
Interval notation:
(-∞,6)
