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marishachu [46]
3 years ago
13

Need help I don't get it. Which point is an exact solution to the system y = -6(0.75)^x and y = 4(x - 1)?

Mathematics
1 answer:
earnstyle [38]3 years ago
4 0
Answer (-1 , -8)

-----------------------------------
Check Equation -6(0.75)ˣ
-----------------------------------
when x = -1
y = -6(0.75)⁻¹
y = -6(4/3)
y = -8

When x = -1, y = -8, therefore this equation passes through (-1, -8)

-----------------------------------
Check Equation y = 4(x - 1)
-----------------------------------
When x = -1 
y = 4( - 1 -1)
y = 4(-2)
y = -8

When x = -1, y = -8, therefore this equation passes through (-1, -8)

-----------------------------------
Answer (B): (- 1, -8)
-----------------------------------

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Answer:

The number of acre per crop for maximum profit is;

Crop A = 0 acres

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X + Y + Z = 100....................................................(1)

X + 2·Y + Z = 160.................................................(2)

$40·X + $20·Y + $30·Z = $3200....................(3)

By subtracting equation (1) from (2) gives Y = 60 acres

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If he plants only B the farmer has 2 work day per acre and since there is a max of 160 days, he can only plant on 80 acres, therefore, total profit = $300 × 80 = $24,000

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2·Y + Z = 160.................................................(5)

$40·X + $20·Y + $30·Z = $3200....................(3)

Solving equation (4) and (5), we have Y = 60 acres and Z = 40 acres

Therefore, the profit becomes

$300 × 60 + $200 × 40 = $26,000.

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