Answer:
y = -2x + 5
Step-by-step explanation:
Looking at the line, every time it moves one unit to the right, it goes down two units. Therefore, the slope is -2. Since the y-intercept is 5, the equation of this line is y = -2x+5.
I hope this helped!
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Answer:StartFraction 2 over 13 End fraction
Step-by-step explanation:
Probability = number of possible outcomes/ total number of outcomes
P (Yellow marble) = 2/ 13
Answer:
Answer for A
Step-by-step explanation:
I don't know about B , Sorry for that.
Answer:
Answer is in the attachment.
Step-by-step explanation:
To graph x>2 consider first x=2. x=2 is a vertical line and if you want to graph x>2 you need to shade to the right of the vertical line.
To graph x+y<2, I will solve for y first.
x+y<2
Subtract x on both sides:
y<-x+2
Consider the equation y=-x+2. This is an equation with y-intercept 2 and slope -1 or -1/1. So the line you have in that picture looks good for y=-x+2. Now going back to consider y<-x+2 means we want to shade below the line because we had y<.
Now where you see both shadings will be intersection of the shadings and will actually by your answer to system of inequalities you have. In my picture it is where you have both blue and pink.
I have a graph in the picture that shows the solution.
Also both of your lines will be solid because your question in the picture shows they both have equal signs along with those inequality signs.
Just in case my one graph was confusing, I put a second attachment with just the solution to the system.
Answer:
Nancy paid 2.98 per gallon of gasoline.
Step-by-step explanation:
The price of the gasoline is given by the total amount she paid for the gasoline divided by the amount of gasoline acquired with that money. The calculations for this are shown below:
ratio = total money / total gasoline
ratio = 10.43 / 3.5
ratio = 2.98 money / gallon
Nancy paid 2.98 per gallon of gasoline.