Parallel to the graph of y = -2/3x + 5
means that it has the same slope
Rewrite
y = -2/3x + b
plug in the given coordinates to solve for b
5 = -2/3(-3) + b
5 = 2 + b
subtract 2 from both sides
3 = b
plug that back into the equation
y = -2/3x + b
y = -2/3x + 3
The answer is <span>B. y= -2/3x+3</span>
This line is parallel to y = -2/3x + 5 and it passes the point (3, 5).
Hope this helps :)
Answer:
Step-by-step explanation:
1.put your percent over a 100 so
125%/100 then put 60 over x
2.then cross multiply 100x60=6000
3.then divide 6000 by 125 which is percent
4.your answer is-48
Answer:
10 5/6
Step-by-step explanation:
First we have to make 2 1/6 into an improper fraction. This can be rewritten as 13/6. Now, we can multiply 13 by 5 and get 65/6. If we re-convert this into a mixed number, 6 goes into 65 10 times with a remainder of 5, so the final answer is 10 5/6.
Answer:
Step-by-step explanation:
Substitute into second equation:
Substitute and into the third equation:
Substitute into :
Plug in y and z values into :
Answer:
The speeds of the cars is: 0.625 miles/minute
Step-by-step explanation:
We use systems of equations in two variables to solve this problem.
Recall that the definition of speed (v) is the quotient of the distance traveled divided the time it took : . Notice as well that the speed of both cars is the same, but their times are different because they covered different distances. So if we find the distances they covered, we can easily find what their speed was.
Writing the velocity equation for car A (which reached its destination in 24 minutes) is:
Now we write a similar equation for car B which travels 5 miles further than car A and does it in 32 minutes:
Now we solve for in this last equation and make the substitution in the equation for car A:
So this is the speed of both cars: 0.625 miles/minute