Which binomial is a factor of 100x2 – 49? a
O 10x + 7
O 25% - 7
O 25x + 49
O 203 – 49
-

Step-by-step explanation:

What you have here is called "the difference of two squares"

Difference means subtraction and both 100x2 and 49 are perfect squares.

The factored form of 100x2-49 is

(10x+7)(10x-7)

Because 10x times 10x is 100x2 and 7 times 7 is 49

One factor has a + and

One factor has a -

It is a pattern worth memorizing!

So 10x + 7 is the factor you're looking for.

The correct option is a.

Step-by-step explanation:

The capacity of swimming pool is 22,800.

Water flows through each hose at a rate of 300 gallons per hour.

The number of hoses is 4.

Water flows through 4 hoses in each hour is

So in each hour the water level in the swimming pool is increased by 1200 gallon.

In one hour 1200 gallon water can be filled in the pool, so the time taken by hoses to fill the swimming pool completely is

Therefore the correct option is a.