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ladessa [460]
4 years ago
6

Which points are on the the graph equation -3x+6y+5=-7

Mathematics
1 answer:
algol [13]4 years ago
6 0
-3x + 6y + 5 = -7
<u>                -5    -5</u>
      -3x + 6y = -12
-3x + 3x + 6y = -12 + 3x
               <u>6y</u> = <u>-12 + 3x</u>
                6           6
                 y = -2 + 1/2x
-3x + 6(-2 + 1/2x) = -12
       -3x - 12 + 3x = -12
         -3 + 3x - 12 = -12
                0x - 12 = -12
                <u>     +12    +12</u>
                       <u>0x</u> = <u>0</u>
                        0     0
                         x = 0
           -3(0) + 6y = -12
                0 + 6y = -12
              <u>+0             +0</u>
                      <u>6y</u> = <u>-12</u>
                       6       6
                        y = -2
                  (x, y) = (0, -2)
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The exponential equation that models this situation is:

V(t) = 18000(0.85)^t, 0 \leq t \leq 5.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

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For this problem, the parameters are:

A(0) = 18000, r = 0.15.

Hence the equation for the value of the car over the next 5 years is:

A(t) = A(0)(1 - r)^t

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More can be learned about exponential functions at brainly.com/question/25537936

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b) 1.95/(.67×10^-2) ≈ 2/(2/3)×10^2 ≈ 300

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d) 9.98×10^-4/(9×10^2) = 9.98/9×10^(-4-2) ≈ 1.1×10^-6

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YMMV depending on how you do the rounding and approximate multiplication and division.

The first one can be done multiple ways. For most accurate results, increasing one number while decreasing the other is recommended. (You don't want to compute 0.3×900, for example.)

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