Solving the given equation, the value of v that makes the statement true is:
A. v = 8.
<h3>What is the given equation?</h3>
The equation is:
Hence:
Applying cross multiplication:
v - 8 = 0
v = 8.
Hence option A is correct.
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Answer:
(6x+10)°=(6x+10)°[vertically opposite angle]
now,
6x+10+10x+10=180°[being cointerior angle]
16x=180-20
x=160%16
x=10°
Answer: total profit = $418
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Work Shown:
June
Income = (4 lawns)*($27 per lawn) = $108
Expenses = ($32 for gas)+($12 for trim line) = $44
Profit = income - expenses = 108-44 = $64
----------------------------
July
Income = (12 lawns)*($20 per lawn) = $240
Expenses = ($89 for gas)+($29 for blade sharpening) = $118
Profit = income - expenses = 240 - 89 = $151
----------------------------
August
Income = (16 lawns)*($20 per lawn) = $320
Expenses = ($101 for gas)+($16 for oil) = $117
Profit = income - expenses = 320-117 = $203
----------------------------
Total profit = (june profit)+(july profit)+(august profit)
Total profit = (64) + (151) + (203)
Total profit = $418
If the final result was negative, then we would call this a loss. However, we have a positive value, so we go with a profit.
Answer:
Choice B: 
.
Step-by-step explanation:
For a parabola with vertex 
, the vertex form equation of that parabola in would be:
.
In this question, the vertex is 
, such that 
and 
. There would exist a constant 
such that the equation of this parabola would be:
.
The next step is to find the value of the constant .
Given that this parabola includes the point 
, 
and 
would need to satisfy the equation of this parabola, .
Substitute these two values into the equation for this parabola:
.
Solve this equation for :
.
.
Hence, the equation of this parabola would be:
.
