<h3>
Answers:</h3>
- g(-1) = -1
- g(1) = -3/2
- g(5) = -7/2
======================================
Explanation:
The piecewise function g(x) is defined based on what the input is.
- If the input x is less than -2, then g(x) = 2
- Or if
then g(x) = -(x-1)^2+3 - Or if
then g(x) = (-1/2)x-1
---------------
In the case of g(-1), we have x = -1 which makes
true.
So we'll use the second piece
g(x) = -(x-1)^2+3
g(-1) = -(-1-1)^2+3
g(-1) = -(-2)^2+3
g(-1) = -4+3
g(-1) = -1
----------------
For g(1), we have x = 1 which makes
true
We'll use the third piece
g(x) = (-1/2)x-1
g(1) = (-1/2)*1 - 1
g(1) = -1/2 - 1
g(1) = -1/2 - 2/2
g(1) = -3/2
-----------------
For g(5), we have x = 5 which makes
true
g(x) = (-1/2)x-1
g(5) = (-1/2)*5-1
g(5) = -5/2 - 1
g(5) = -5/2 - 2/2
g(5) = -7/2
4 divided by 561 is equal to .007 but I think you mean 561/4 = 140.25
Answer:
287 books
Step-by-step explanation
there was already 239 books. when the problem mentoins that Mary ADDS MORE books to the shelf, the operation is addition.
239+48=287
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The proportion analyzed by Amir is P(A) = 0.55
The proportion analyzed by Betty is P(B) = 0.30
The proportion analyzed by Carlos is P(C) = 0.15
The inaccuracy by Amir is p = 0.6% = 0.006
The inaccuracy by Betty is b = 0.4% = 0.004
The inaccuracy by Carlos is c = 0.1% = 0.001
Generally the probability of inaccurate analysis is mathematically represented as

=> 
=> 
Generally the probability that an inaccurate analysis, detected at final verification, was conducted by Carlos is mathematically represented as

=> 
=>
9514 1404 393
Answer:
1,222,200
Step-by-step explanation:
A search using a computer program found ...
5432 × 225 = 1,222,200
__
1000 mod 225 = 100
4 × 225 = 900
This suggests that if we have some number of thousands whose digits total 9, that we will have the number of interest. Of course, we can add 200 to some number of thousands with a digit total of 7. The smallest such digit total will be had with the number 1222 using the specified digits {0, 1, 2}. This gives rise to the result above: 1222×1000 +200 = 1,222,200. It also explains why moving the 1 to the right will also give a multiple of 225.