Which set of side lengths could be used to make a triangle?
1 answer:
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Answer:
14 pounds
Step-by-step explanation:
The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.
<h3>Solution</h3>x = 20 -y . . . . . . . subtract y from the first equation
7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation
140 -1.5y = 119 . . . . . . . . simplify
21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides
14 = y . . . . . . . . . . . .divide by 1.5
14 pounds of soy nuts should be used in the mixture.
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<em>Additional comment</em>
There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.
Answer:
OPTION D
Step-by-step explanation:
We have to determine which option determines the function given above.
To determine the function, just substitute the values and compare LHS and RHS.
we have
Here, is the domain and
is the co-doamin.
Therefore,
Now, OPTION A:
Substitute x = 4. We get f(x) = 3 18.
So, OPTION A is rejected.
Similarly, OPTION B:
Substitute x = 4. We get f(4) = 22 18.
It is rejected as well.
Now, for OPTION C:
Substitute x = 4. We get f(4) = -3 18.
So, OPTION C is also rejected.
OPTION D:
Substitute x = 4. We get f(4) = 18.
Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.