Answer:
- A (-4, -3)
- C (2, 4)
- E (3, 2)
Step-by-step explanation:
It is convenient to use technology to plot the points and the functions to see what lies where. The first attachment shows such a plot.
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Of course, you can do the function evaluations. For example, testing answer B, we find ...
... 3·6 ≤ -2·1 +18 . . . . <em>false</em> for the first equation — not a solution
Checking all the points requires 10 function evaluations. When things get repetitive like that, I like to use a graphing calculator or spreadsheet.
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<em>Using a calculator</em>
The second attachment shows a calculator evaluating the viability of each point as a solution. The equations have been rearranged to ...
- -2x -3y +18 ≥ 0
- -x +4y +12 ≥ 0
This makes it easy to look at the evaluation results to see if the solution is viable or not.
The x-values of the points are entered into list L₁ and the y-values into L₂. The result of the first inequality above is in L₃ and the result for the second inequality is in L₄. Any negative value in L₃ or L₄ shows a point that is <u>not</u> part of the solution set. Points B and D fail to match problem requirements.
Points A, C, and E are in the solution set.
The answer is A.
The numbers under the x and y represent the domain (x) and range(y) for ordered pairs. The -5 (under x) has the arrow toward the 3 (under y) so the answer for that pair would be (-5, 3)
I think you have mistaken the formula.
I will do it this way.
Interest after 6 years: 1.038^6 × $5,000
Thus, amount after 6 years = $6,253.95
Answer:
Step-by-step explanation: it doesn't matter if it says even or odd it's the same formula
Because think if you start with 1 to get 3 you add 2
If you start with 2 to get the next even number you add 2
So it's X+ (X+2)+ (X+4)=93
X is the first # X+2 is the next # X+4 is the 3rd number if you want to check add the numbers to make sure they add up to 93
The smallest of course is X