Answer:
We know the x-intercept only
Explanation:
To answer this equation, we need to go through the options individually and use both points to determine if they are true or false.
• Option 1 - False
According to the the first point given, we know the x-intercept is (3, 0).
• Option 2 - True
We only know the x-intercept. It is (3, 0) which is the first point given. We do not know the y-intercept.
• Option 3 - False
We do not know the y-intercept. We only know the x-intercept. In order to know the y-intercept the second point given must include a zero as the x point. The second point give does not include a zero. It is (-1, -3).
• Option 4 - False
We do not know the y-intercept
Answer:
The fifth degree Taylor polynomial of g(x) is increasing around x=-1
Step-by-step explanation:
Yes, you can do the derivative of the fifth degree Taylor polynomial, but notice that its derivative evaluated at x =-1 will give zero for all its terms except for the one of first order, so the calculation becomes simple:

and when you do its derivative:
1) the constant term renders zero,
2) the following term (term of order 1, the linear term) renders:
since the derivative of (x+1) is one,
3) all other terms will keep at least one factor (x+1) in their derivative, and this evaluated at x = -1 will render zero
Therefore, the only term that would give you something different from zero once evaluated at x = -1 is the derivative of that linear term. and that only non-zero term is:
as per the information given. Therefore, the function has derivative larger than zero, then it is increasing in the vicinity of x = -1
Answer:
standard deviation is a quantity calculated to indicate the extent of deviation for a group as a whole.
Residual analysis is used to assess the appropriateness of a linear regression model by defining residuals and examining the residual plot graphs.
Happy Birthday!!!!!!
Answer:
D
Step-by-step explanation:
log₂(x-4) = 4
Undo the log by raising 2 to both sides:
2^(log₂(x-4)) = 2^4
x - 4 = 2^4
x - 4 = 16
x = 20
Answer D.
46204 ft³
<h3>
<u>
Explanation</u>
:</h3>
Volume of <u>cube</u>: length³ ⇒ 36³ ⇒ 46656 ft³
Volume of <u>cylinder</u>: πr²h ⇒ π(2)²(36) ⇒ 144π ⇒ 452.39 ft³
Volume of the figure: 46656 - 452.15 = 46203.61 ft³ ≈ 46204 ft³