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:
![y(y+8)=713\\\\y^2+8y=713\\\\y^2+8y-713=0](https://tex.z-dn.net/?f=y%28y%2B8%29%3D713%5C%5C%5C%5Cy%5E2%2B8y%3D713%5C%5C%5C%5Cy%5E2%2B8y-713%3D0)
Solving the quadratic equation by factorization, we have:
![y^2-31y +23y-713=0\\\\y(y-31)+23(y-31)=0\\\\(y+23)(y-31)=0](https://tex.z-dn.net/?f=y%5E2-31y%20%2B23y-713%3D0%5C%5C%5C%5Cy%28y-31%29%2B23%28y-31%29%3D0%5C%5C%5C%5C%28y%2B23%29%28y-31%29%3D0)
y = -23 or 31.
For the value of x, when y = 31:
![x=8+31](https://tex.z-dn.net/?f=x%3D8%2B31)
x = 39
Now, we can calculate the sum of the two numbers:
![x+y=39+31=70](https://tex.z-dn.net/?f=x%2By%3D39%2B31%3D70)
Read more on word problems here: brainly.com/question/13170908
Answer: B. Boron and oxygen
Explanation:
When a value is 68% likely to occur, then it is<u> 1 standard deviation</u> from the mean. If data is incredibly rare, then it will be <u>0 standard deviation</u>s from the mean.
<h3>What is the empirical rule?</h3>
This is a rule that predicts the percentage of values the further you go from the mean. 1 standard deviation from the mean would have 68% of the values.
The further you go from the mean, the higher the percentage of values that will be seen such that 3 standard deviations from the mean has 99% of values.
A 0 standard deviation from the mean is incredibly rare and points to identical values which isn't realistic and is why such discoveries would be considered new.
In conclusion, this is 0 standard deviation.
Find out more on the empirical rule at brainly.com/question/16811285
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World language .........................
Answer:
Drinking excessive amount of water can cause low sodium by over whelming the kidney's ability to excrate water. Because you loose sodium through sweat, drinking too much water duting marathons and triathlons, can also dilute the sodium content of your blood...