Answer:
b is greater than or equal to 5
-1 + 3(n-1)
hope this helps you
First you need to find the y-intercept, which is y = -1
Next is we need to find the slope of the line > you are going to have to do this by finding to clear point
The ones that I will be using are: (3, 1); (6, 3) (You could take any points)
Now using the slope formula we could find m.
m = y2-y1 / x2-x1
(1 - 3) / (3 - 6) = m
-2 / -3 = m
m = 2/3
Using the linear function format: y = mx + b
Therefore the equation of the line is y = 2x/3 -1
<span>8 minutes 20 seconds.
First, lets determine who many miles per minute each vehicle moves by dividing each speed by 60.
Speeder = 60 / 60 = 1 mile per minute.
Police = 75 / 60 = 1.25 miles per minute.
Other car = 45 / 60 = 0.75 miles per minute.
Since the speeding car moves for 5 minutes before the police start to chase, that means that the speeding car will now be 5 + T miles down the road with T being the time the police has been chasing. The police will be 1.25 T. We're looking for when those two equations equal each other. So
5 + T = 1.25 T
Subtract T from both sides
5 = 0.25T
Divide both sides by 0.25
20 = T
So it will take the police officer 20 minutes to catch up to the speeder. And they will both have traveled a total distance of 25 miles from the point where the speeder passed the police car.
Now we need to figure out how far the law obeying car has moved during those 25 minutes. So
25 * 0.75 = 18.75 miles.
The distance the law obeying car needs to travel to catch up to the police officer then becomes
25 - 18.75 = 6.25 miles.
The number of minutes that the law obeying car needs to travel that distance is
6.25 / 0.75 = 8.333....
Which is 8 minutes 20 seconds.</span>
Answer:
Step-by-step explanation:
27^x = 9÷(3^x)
So (3^3)^x = (3^2)÷(3^x)
So 3^3x = 3^(2-x)
Comparing powers on both sides,
3x = 2 - x
So, 4x = 2
So, x = 1/2
Given ( 27 ) ^ x = 9 / 3 ^x
⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x
⇒ ( 3 ³ )^x = 3² / 3^x
⇒ 3 ^ 3x × 3^x = 3² [ since ( a ^m)^n = a ^mn ]
⇒ 3^ (3x +x) = 3² [ since a^m × a^n = a ^m+n ]
⇒ 3^4x = 3²
⇒4x = 2 [ since If a ^m = a ^n then m = n ]
⇒ x = 2 / 4
∴ x = 1 / 2
I hope this helps you.
