Answer:
y ≤ ¼x + 1
Step-by-step explanation:
Starting from the y-intercept of course, use rise\run until you hit another endpoint [finding the <em>rate</em><em> </em><em>of change</em> (<em>slope</em>)]. That means me we go up <em>north</em><em> </em>one block, then go over four blocks <em>east</em><em>,</em><em> </em>and since the slope is already simplified, we do not need to go any further. Now all we have left is to determine the correct inequality symbol, and since we know that the bottom portion of the graph is shared, we automatically know it is <em>less</em><em> </em><em>than</em><em>,</em><em> </em>but to check this, we need to do what is called a <em>zero-interval</em><em> </em><em>test</em><em> </em>[do not recall the actual term], meaning that we plug in 0 for both <em>y</em><em> </em>and <em>x</em><em>,</em><em> </em>getting 0 < 1, which is a GENUINE statement, so the bottom portion stays shaded, otherwise we would have had to shade the top portion if it were a false statement. Finally, we have to determine if we have to add an equivalence line under the inequality symbol, and we DO because as you can see, the line is SOLID BLACK. If it were DASHED BLACK, then it would stay "<" instead of "≤".
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Answer:
No Solution
Step-by-step explanation:
<u>For one solution;</u>
it will be consistent and independent ( example, x = 1 and y = 2)
<u>For no solution;</u>
it will be inconsistent and independent ( example, 0 = 2)
<u>For many solution;</u>
it will be consistent and dependent ( example, 1 = 1, 2 = 2, y = y, x = x)
Given;
3x - 2y = 3 -------------- equation (1)
6x - 4y = 1 --------------- equation (2)
6: 18x - 12y = 18 -------------equation (3)
3: 18x - 12y = 3 --------------- equation (4), <em> subtract (4) from (3)</em>
--------------------------------------------
0 - 0 = 15
-----------------------------------------------
0 = 15
The solution is inconsistent and independent, because zero (0) cannot be equal to 15
Thus, the system has no solution
Answer:
23
Step-by-step explanation:
because it was eight more.
because it was four times the amount .
The answer is 23
Divide 24 by 4 because the denominator is 4..
24÷4=6
Multiply 6 by 3 because the numerator is 3.
6×3=18
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F, because the slope is roughly 0.55/1
