A 50% increase is just taking the original amount and adding half of that towards the amount.
Example : 50% of 100 is 50 so a 50% increase to 100 would be 150
a formula for this would be X + (1/2×X) = Y
in your case we're working backwards with the known being 60
We can just plug in reasonable values for X until we get 60
50% of 40 is 20
40 + 20 = 60
so the original amount was 40
This is currently your equation since you do not know "b"
y = 2/3x + b
To find "b" you plug in the point (4,2) into the equation.
y = 2/3x + b
2 = 2/3(4) + b
2 = 8/3 + b (subtract 8/3 on both sides to get "b" by itself)
2 - 8/3 = b (make the denominators the same)
6/3 - 8/3 = b
-2/3 = b
So: y= 2/3x - 2/3
Answer:
7/4
Step-by-step explanation:
If you look at the quadratic formula:
x=(-b±√(b^2-4ac))/(2a)
We can say that -b=5, b=-5
If I read it right you had ±2√7 which is equal to ±√28, and we know b=-5 so:
±√(25-4ac)=±√28
And since 3=2a, a=1.5 making the above:
±√(25-6c)=±√28
25-6c=28
-6c=3
c=-0.5
So a=1.5, b=-5, and c=-0.5 thus
y=1.5x^2-5x-0.5
We can check this by reapplying the quadratic formula to the equation above
x=(5±√(25-4(1.5)(-0.5))/3
x=(5±√(25+3))/3
x=(5±√28)/3
x=(5±√(4*7))/3
x=(5±2√7)/3
Answer:It will take Mary about 2 minutes to run one lap.
Step-by-step explanation:
c = 2r = 2 * 3.14 * 25
2 * 3.14 = 6.28
6.28 * 25 = 157
157/ 75 = 2 w/ remainder of 7
Round down and it is roughly 2 minutes.
mark me brainliest if correct thank you