Answer:
3x - y = 0; 2x - y = -5
Step-by-step explanation:
Let x be the present age of Hans and y be the present age of Grace,
Since, in present Grace is three times as old as Hans,
⇒ y = 3x
⇒ 3x - y = 0
Now, after 5 years,
The age of Hans = x + 5,
And, the age of Grace = y + 5
Also, in 5 years Grace will be twice as old as Hans is then,
⇒ y + 5 = 2 ( x + 5 )
⇒ y + 5 = 2x + 10
⇒ 2x - y = -5
Hence, the required system of linear equations is,
3x - y = 0; 2x - y = -5
Hi! i can’t see song central. but, song factory is more expensive than music mania because song factory is 1.75 a download and music mania is 1.50 a download
Answer:
Step-by-step explanation:
(-1,1) and (0,-2) are points on the line
slope of line = (-2-1)/(0-(-1)) = -3
y-intercept = -2
y = -3x - 2
Answer:
Option C.
Step-by-step explanation:
We start with the expression:
where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)
We want to find the equivalent expression to this one.
Here, we can do the next two simplifications:
And:
If we apply these two to our initial expression, we can rewrite it as:
Here we can use the second simplification again, to rewrite:
So, concluding, we have:
Then the correct option is C.
Average speed = (1/2) (beginning speed + ending speed)
= (1/2) ( 13 m/s + 30 m/s )
= (1/2) ( 43 m/s )
= 21.5 m/s
