Which term can be added to the list so that the greatest common factor of the three terms is 12h3? 36h3, 12h6, __________
2 answers:
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Answer:
The solution proves that the equation has a non-trivial solution.
Step-by-step explanation:
We want to show that the equation has nontrivial solutions for which
Let be a set of non-zero numbers such that that
Because T is a linear solution:
=
=
=
=
= 0
This shows that are linearly independent with the mapping resulting in a non-trivial solution.
We know that
step 1
the area to install tiles is equal to A
A=area rectangle-area of a circle
area of a rectangle=(13+x)*x-----> (13x+x²) ft²
area of a circle=pi*r²-----> pi*6²------> 36*pi ft²
A=(x²+13x)-36*pi ft²
step 2
find the cost of installing tiles CT
CT=$1*[(x²+13x)-36*pi]-----> CT=$x²+$13x-$36*pi
step 3
find the cost <span>the of installing the pond CP
CP=$0.62*36*pi------> CP$22.32*pi
step 4
find the inequality
we know that
CT+CP </span>
<span> $536
[</span>$x²+$13x-$36*pi]+[$22.32*pi] $536
[$x²+$13x-$13.68*pi] $536
the answer is the option D
step 1
the area to install tiles is equal to A
A=area rectangle-area of a circle
area of a rectangle=(13+x)*x-----> (13x+x²) ft²
area of a circle=pi*r²-----> pi*6²------> 36*pi ft²
A=(x²+13x)-36*pi ft²
step 2
find the cost of installing tiles CT
CT=$1*[(x²+13x)-36*pi]-----> CT=$x²+$13x-$36*pi
step 3
find the cost <span>the of installing the pond CP
CP=$0.62*36*pi------> CP$22.32*pi
step 4
find the inequality
we know that
CT+CP </span>
[</span>$x²+$13x-$36*pi]+[$22.32*pi]
[$x²+$13x-$13.68*pi]
the answer is the option D
Let Mia's score be 
. Then, Erick scored 10 more than Mia, so his score is 
. Isabelle scored 16 less than twice Mia's score, so her score is 
. We can see that 
is the sum of these variables, so the expression represents the total of their scores in this scenario. Moreover, we recall that the variable in the expression, , represents Mia's score.
To simplify this expression, we add up the variables and the numbers separately, giving us
. Therefore, in simplified form, the expression is equal to 4x - 6. The constant term in an expression is the term not multiplied by a variable, so in this case, it is -6.
To simplify this expression, we add up the variables and the numbers separately, giving us