The sum of the two numbers is equal to 70.
- Let the first number be x.
- Let the second number be y.
In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).
Translating the word problem into an algebraic expression, we have;
Two numbers differ by 8:
....equation 1.
The product of the two numbers is 713:
....equation 2.
To calculate the sum of the two numbers:
First of all, we would solve for each of the unknown variables (x and y).
From eqn. 1, we have:
....equation 3.
Substituting eqn. 3 into eqn. 2, we have:

Solving the quadratic equation by factorization, we have:

y = -23 or 31.
For the value of x, when y = 31:

x = 39
Now, we can calculate the sum of the two numbers:

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Studying will aid students perparing for tests.
There are different kinds of functional group. The answer to the functional group, is below.
- (OH) Alcohol is one of the most polar and may act as a weak acid
- (COOH) Carboxylic acid serves as the acid.
- (C=O) Aldehyde: can be an isomer of a chemical ketone
- (S-H) Thiol usually transform to a disulfide bond
- (NH2) Amine serves to be the base of chemical compounds
- (PO4) Organic phosphate carries a negatively charged atom.
<h3>What is functional group ?</h3>
A functional group in organic chemistry is known to be a composition of atoms that is found inside a molecules that often bind together to react in certain ways.
The Examples of functional groups are the group hydroxyl, ketone, amine, and others.
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