Which number produces a rational number when added to 1/4?

The answer is option B : 0.44

Step-by-step explanation:

When you add fractions, the answer is always rational.

A rational number is in the form of , where .

We also know ,

Rational number + irrational number = irrational number

Now is an irrational number and when we will add it to , it will produce irrational number.

Similarly, and 1.4142135.. will also produce irrational numbers.

So, we have been left with 0.44, which is the answer.

0.44 can be written as or or

When we add to any of the fraction, it will always produce a fraction or rational number.

= which is a rational number.

he can buy 4lbs. of live bait and 1lbs of natural bait

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.