Answer:
For a unique solution, there must be as many consistent, independent equations as there are variables.
Step-by-step explanation:
Each equation lets you write an expression for one variable in terms of the others in that equation. That expression can be substituted throughout the system, reducing the number of equations and variables by one each.
After n-1 such substitutions in a system of n equations, there will be one equation left. If that is an equation in one variable, then the solution to the system can be easily found. If more than one variable remains (> n variables in n equations), then the system cannot be solved for definitive values of each of the variables.
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If the equations are inconsistent, there is no solution. If the equations are dependent, then there is no unique solution.
Answer:
g=28
Step-by-step explanation:
an interior angle of polygon=( (n-2)*180)/n which n is the amount of side
30-sided regular polygon = ((30-2)*180)/30 = (28*180)/30 = 168
find g:
6g=168
g=168/6
g=28
A. x 2 + 5 = 3x - 3
B. 2x + 5 = 3x - 3
C. 2x + 5 = 3(x - 3)
Answer:
B..
Step-by-step explanation:
Let x represent the smaller number.
We have been one number is five more than another. The another number would be: .
Sum of both numbers would be
Three times the smaller number would be .
Three less than three times the smaller number would be .
We have been given that their sum is three less than three times the smaller. We can represent this information in an equation as: .
Therefore, option B is the correct choice.
medals?
Decide if the situation involves a permutation or a combination, and then find
the number of ways to award the medals.
Answer: Permutation; number of ways = 120
Step-by-step explanation:
Answer with explanation:
Number of runner= 5
Number of Distinct Medal = 5
First Medal can be Awarded in 5 ways, second Medal can be awarded in 4 ways and third Medal can be awarded in 3 ways , fourth medal can be awarded in 2 ways and fifth Medal can be awarded in one way.
So, total number of ways =5 × 4×3×2×1=120 way
⇒We will use the concept of Permutation as there are five distinct medal and five different runners
So, Five distinct places can be filled in 5! or ways as order of arrangement is Important because any of the five candidates can win first second, third , fourth or fifth Prize.
= 5!=5×4×3×2×1=120 ways
Because, n!=n×(n-1)×(n-2)×........1.