Arectangular swimming pool has an area of (70x+10) square feet. find possible dimensions of the pool.

10 and 7x + 1

Step-by-step explanation:

The area of a rectangle is 70x + 10.

Let's factor 70x + 10.

Factor out a common factor of 10.

70x + 10 = 10(7x + 1)

Since the area of a rectangle is length * width, we can let one factor be the length and the other factor be the width.

Possible dimensions are 10 and 7x + 1

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: