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 word straggly means growing or spreading in an irregular untidy way
The value of the Kp is obtained from Kp = p.C2H6/p.C2H2 * pH2^2 as 1.
<h3>What is Kp?</h3>
The Kp is the equilibrium constant for a gas phase reaction we have to put down the equation for the Kp here as; Kp = p.C2H6/p.C2H2 * pH2^2.
We are told here that all the pressures are equal to 1 atm hence we substitute values; Kp = 1/1 ( (1)^2 =1
Learn more about Kp: brainly.com/question/22074421
The solution to the Algebra 2 volume 2 exercise is 6.
<h3>What is algebra?</h3>
Algebra is a field of mathematics that aids in the presentation of word problems using mathematical expressions.
To construct a meaningful mathematical expression, variables (e.g. a,b, and c, etc) are combined with mathematical operations such as addition, subtraction, division, and multiplication.
From Algebra 2 volume 2 Mathematics: Chapter 12, Excercise 6, we have:
- Find f(3) in f(x) = 0.75(2)ˣ
We will replace x with (3) wherever we find (x)
- So, f(3) = 0.75(2)³
- f(3) = 0.75(8)
- f(3) = 6
Learn more about algebra here:
brainly.com/question/22399890
Answer:
O Paul Robeson was a talented man whose reputation was hurt by his political beliefs.
Explanation:
In the given passage, the speaker talks about Paul Robeson who was a famous African American athlete, actor, singer, etc. among many other expertise. But despite all his achievements and popularity, his political opinion led to a huge blow in his popularity.
Therefore, we can say that while Robeson was famous in almost all sides, his critical position of admiration for the Soviet Union, an enemy of the United States, led to his 'fall' from being popular to becoming disliked by the people. This shows how one's reputation can be hurt by one's political beliefs, just like Paul Robeson's was.
Thus, the correct answer is the fourth option.
