Answer:
Graph of the inequality 3y-2x>-18 is given below.
Step-by-step explanation:
We are given the inequality, 3y-2x>-18
Now, using the 'Zero Test', which states that,
After substituting the point (0,0) in the inequality, if the result is true, then the solution region is towards the origin. If the result is false, then the solution region is away from the origin'.
So, after substituting (0,0) in 3y-2x>-18, we get,
3\times 0-2\times 0>-18
i.e. 0 > -18, which is true.
Thus, the solution region is towards the origin.
Hence, the graph of the inequality 3y-2x>-18 is given below.
Answer:
2z-6
Step-by-step explanation:
2(z-3)
2(z)-2(3)=2z-6
The cost of small box of oranges is $7.
The cost of large box of oranges is $13.
<u>Step-by-step explanation:</u>
It is given that,
3 small boxes of oranges and 14 large boxes of oranges for a total of $203.
11 small boxes of oranges and 11 large boxes of oranges for a total of $220.
Let us take,
- The cost of small box of oranges = x
- The cost of large box of oranges = y
<u>The system of equations are framed as :</u>
3x + 14y = 203 ---------(1)
11x + 11y = 220 ---------(2)
<u>To solve these equations for x and y values :</u>
Multiply equation (1) by 11 and equation (2) by 3
Subtract eq(2) from eq(1),
33x + 154y = 2233
- <u>(33x + 33y = 660) </u>
<u> 121 y = 1573 </u>
⇒ y = 1573 / 121
⇒ y = 13
∴ The cost of large box of oranges is $13.
Substitute y=13 in the eq(1),
⇒ 3x + 14(13) = 203
⇒ 3x + 182 = 203
⇒ 3x = 203 - 182
⇒ 3x = 21
⇒ x = 21 / 3
⇒ x = 7
∴ The cost of small box of oranges is $7.
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