Fifty less than four times a number is ten. What is this number?
1 answer:
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The true statement about the graph of the function f(x) = x3 - 2x2 + 4x – 8 is (B) The function has 1 real zero that occurs 1 time.
<h3>How to determine the true statement</h3>The function of f(x) is represented as:
Differentiate the function f(x)
Calculate the minimum value using:
So, we have:
Substitute 2/3 in f'(x)
The value of f'(2/3) is greater than 0.
This means that the function f(x) has 1 real zero, and it occurs once at point (2,0)
Hence, the true statement is (b)
Read more about functions at:
Answer:
Company will hire 3 Engineers of Level 1 and 10 Engineers of level 2.
Step-by-step explanation:
Let the number of engineers for level 1 be x.
Let the number of engineers for level 2 be y.
Given:
Total Number of engineers company can hire = 13
Now Total number of engineers are equal to sum of number of engineers for level 1 and number of engineers for level 2.
Hence Framing in the equation form we get;
Also Given:
Salary of level 1 engineers = $45,000
Salary of level 2 engineers = $65,000
Total Budget of Company = $785,000
But Total Budget of Company depends upon the sum of Salary of level 1 engineers multiplied with number of level 1 engineers and Salary of level 2 engineers multiplied with number of level 2 engineers.
Hence equation can be framed as;
Dividing by 5000 on both side we get;
Now Multiplying equation 1 by 9 we get;
Now Subtracting equation 3 from equation 2 we get;
Now Substituting the value of y in equation 1 we get
Hence Company will hire 3 Engineers of Level 1 and 10 Engineers of level 2.