Answer:
First one Equivalent but not simplified fully (Can combine the two y terms)
Second: Equivalent but not simplified fully (Can combine the two x^2 terms)
Third: Equivalent and simplified fully
Fourth: Not equivalent (y term is not correct)
Fifth: Not equivalent (x^2 term is not correct and the constant terms [ones without variables] can be combined)
Sixth: Not Equivalent (y term is not correct and the constant terms can be combined)
Step-by-step explanation:
You just need to know if two terms have the same variable they can be added or subtracted. But if it is say x and x^2 it cannot, they need to be brought to the same power as well. or if there is a term with xy, it can only be added and subtracted to other xy terms
Answer:
Up 1 and over 3
Step-by-step explanation:
Answer:
10 hours
Step-by-step explanation:
If I have $50 in my bank account, and I want to have a total of $130 in my account. It means that I need to work enough hours to make $130 - $50 = $80.
If I make $8 per hour, and I need to make $80, then I just have to work 10 hours. ($80/8 = 10)
Answer:
The last listed functional expression:
Step-by-step explanation:
It is important to notice that the two linear expressions that render such graph are parallel lines (same slope), and that the one valid for the left part of the domain, crosses the y-axis at the point (0,2), that is y = 2 when x = 0. On the other hand, if you prolong the line that describes the right hand side of the domain, that line will cross the y axis at a lower position than the previous one (0,1), that is y=1 when x = 0. This info gives us what the y-intercepts of the equations should be (the constant number that adds to the term in x in the equations: in the left section of the graph, the equation should have "x+2", while for the right section of the graph, the equation should have x+1.
It is also important to understand that the "solid" dot that is located in the region where the domain changes, (x=2) belongs to the domain on the right hand side of the graph, So, we are looking for a function definition that contains for the function, for the domain: .
Such definition is the one given last (bottom right) in your answer options.
Step-by-step explanation:
Answer:
x₁ = 2
x₂ = -8