Answer:
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)
Answer is Rs 910 hope it helps you
Answer:
It will take 0.75B hours for the return leg
Step-by-step explanation:
Here, given that the first leg of the trip was for B hours at 3 miles per hour , we want to calculate the number of hours the return leg will take at 4 miles per hour given that it is the same distance.
Mathematically, we know that ;
Distance = speed * time
So the distance taken on the first leg of the trip would be;
Distance = 3 miles per hour * B hours = 3B miles
Now, this distance was traveled on the return leg also.
This means that the time taken here will be;
Time on return leg = distance/speed = 3B/4 = 0.75B hours
Answer:
y=mx+b is the form to write this equation. M is the slope and B is the y intercept. therefore:
y=4x-9
Step-by-step explanation:
224 cubes. Are needed 224 cubes with side lenghts of 1/4 cm to fill the prism.
The key to solve this problem is calculate the volume of both the cube and the prism.
Vcube = l³
Vprism = l*w*h
Where l is lenght, w is width, and h is height.
Vcube = (1/4 cm)³ = 1/64 cm³
Vprism = (2 cm)(7/4 cm)(1 cm) = 7/2 cm³
Calculating how many cubes does it takes to fill the prism:
Cubes = Vprism/Vcube = (7/2 cm³)/(1/64 cm³) = 448/2 = 224
