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:
Read more on word problems here: brainly.com/question/13170908
The system of inequalities that represents the given criteria are 3x² > y and y² + 6 > x.
<h3>How to solve Algebra Word Problems?</h3>
Let the first number be x and the second number be y.
We are told that three times the square of a number is greater than a second number. Thus; 3x² > y
Now, The square of the second number increased by 6 is greater than the first number. Thus;
y² + 6 > x
Thus, the system of inequalities that represents the given criteria are 3x² > y and y² + 6 > x.
where;
x is first number and y is second number.
Read more about Algebra word problems at; brainly.com/question/18800270
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This is true because they have to test if ur drunk driving and stuff like that
The important concept that best exemplifies what Mike values for his employees is: affirmative commitment.
<h3>What is Affective Commitment?</h3>
Affective commitment is a concept that describes the tendency of employee's to be emotionally attached to the organization they work for, most especially when they feel their personal values and priorities align with that of the organization's mission and ideals.
Thus, the important concept that best exemplifies what Mike values for his employees is: affirmative commitment.
Learn more about affirmative commitment on:
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