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densk [106]
3 years ago
7

How could Jason solve for T in this equation? T - 8 = 40 A) add 8 to the left side B) add 8 to the left side and subtract 8 from

the right side
C) add 8 to each side D) divide each side by 8
Mathematics
1 answer:
viktelen [127]3 years ago
4 0
C hope this could help you
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If ΔEFG ~ ΔLMN with a ratio of 3:1, which of the following is true?
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Answer: c

Step-by-step explanation:

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Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi
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Answer:

\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.

Step-by-step explanation:

1st boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

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Equation:

y=ax^2 -2ax+c

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y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10

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1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1

Solve:

c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}

Parabola equation:

y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}

2nd boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0

Equation:

y=ax^2+c

The y-coordinate of the vertex:

y_v=a\cdot 0^2+c\Rightarrow c=-7

Parabola passes through the point (-8,1), so

1=a\cdot (-8)^2-7\\ \\64a-7=1

Solve:

a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7

Parabola equation:

y=\dfrac{1}{8}x^2 -7

System of two equations:

\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.

7 0
3 years ago
Read 2 more answers
What is the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively
ki77a [65]

The profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

<h3>Profitability index</h3>

First step is to find the Net present value (NPV)  of the given cash flow using discount rate PVF 16% and PV of cash flow which in turn will give us net present value of 49.7.

Second step is to calculate the profitability index

Profitability index  = 49.7/340

Profitability index  = .15×100

Profitability index=15%

Therefore the profitability index of an investment with cash flows in years 0 thru 4 of -340, 120, 130, 153, and 166, respectively, and a discount rate of 16 percent is: 15%.

Learn more about Profitability index here:brainly.com/question/3805108

#SPJ4

3 0
1 year ago
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