Answer:
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
Step-by-step explanation:
In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.
Given function is:

Taking first derivative

Now the first derivative has to be put equal to zero to find the critical value

The function has only one critical value which is 5.
Taking 2nd derivative


As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5
The value can be found out by putting x=5 in the function

Hence,
<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>
Hence,
Option B. minimum is correct for the first blank
Option C. 6 is correct for second blank.
We are given with a verbal phrase of a function<span> of x is equal to the square root of x plus one divided by x plus four times x minus six.
This is expressed as f(x) = </span>√(x) + 1/x + 4x - 6
the domain are values which include only natural numbers because of the square root sign. answer is D. <span>x ≥ 0</span>
Cant answer this without giving an equation
Answer:
1) a = 110
2) b = 65
3) c = 115 d= 65 e = 115
How I found the last one?
The whole thing equals 360.
d is equal to 65 so I added those together.
That equals 130. So i subtracted that from 360.
I got 230. Next, I divided that by 2 to get the final 2 angles.