Answer:
2,520
Step-by-step explanation:
The number of possible arrangements of officers patrolling the streets is the combination of choosing 5 officers out of 10 (₁₀C₅). After choosing the patrolling officers, the number of arrangements for the officers working full time at the station is given by the combination of choosing 2 officers out of the 5 remaining (₅C₂). The remaining officers should be on reserve at the station (₃C₃). The total number of arrangements is:
There are 2,520 possible divisions.
Answer:
4=10x+5
Step-by-step explanation:
4=10x+5
minus 5 on both sides (5-5 and 4-5)
<u>-1</u>=<u>10x</u>
10 10
cross out 10 over 10 -1 divided by 10 is -0.1
Answer:
1. value is 0; x-3 is a factor . . . . . . . . . . . . . .third choice
2. evaluates at x = -1; remainder is -11 . . . . first choice
Step-by-step explanation:
Dividing f(x) by (x -a) gives ...
f(x)/(x -a) = g(x) +r/(x -a) . . . . some quotient and a remainder r
If we multiply this expression by (x -a), we see ...
f(x) = (x -a)g(x) +r
so
f(a) = (a -a)g(a) +r . . . . . evaluate the above equation at x=a
f(a) = 0 +r
f(a) = r . . . . . . . . . a statement of the remainder theorem
If r=0, then x-a is a factor of f(x) = (x-a)g(x).
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1. We have "a" = 3, and f(3) = 0. Therefore (x-3) is a factor.
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2. We have "a" = -1, and f(-1) = -11. Therefore the remainder from division by (x+1) is -11.
Answer:
Option B is correct
m = 0.5 is the solution to the equation
Step-by-step explanation:
Given the equation:
Add 2.7 to both sides, we have;
Simplify:
Add 1.8 m to both sides we have;
Divide both sides by 5.4 we have;
⇒m = 0.5
Therefore, the solution for the given equation is, 0.5
92.23 becuase if u subtract 213.20 by 305.43 it gives you the answer