Suppose you write a sum of numbers as a product of their gcf and another sum. what is the gcf of the numbers in the other sum? explain.

1.

Step-by-step explanation:

We are asked to determine the GCF of the numbers in the other sum.

Since we have already factored out the GCF from initial or starting numbers, then the sum of other numbers will share no common factor other than 1.

For example let us take two numbers 15 and 25.

Sum of 15 and 25:

We know the greatest common factor of 15 and 25 is 5.

Factor out 5 from the sum:

Now, we can see that the greatest common factor of 3 and 5 is 1.

Therefore, the GCF of the numbers in the other sum would be 1.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places