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babymother [125]
4 years ago
5

Which ordered pair is the best estimate for the solution of the system of equations? y=−2.5x+6.5

Mathematics
1 answer:
-Dominant- [34]4 years ago
4 0
Answer:
(11/7 , 18/7)

Explanation:
The second given equation is:
y = x + 1 ............> I
The first given equation is:
y = -2.5 x + 6.5 ..............> II

Substitute with I in II and solve for x as follows:
y = -2.5 x + 6.5
x + 1 = -2.5 x + 6.5
x + 2.5 x = 6.5 - 1
3.5 x = 5.5
x = 11/7

Now, substitute with x in equation I to get y as follows:
y = x + 1
y = 11/7 + 1
y = 18/7

Hope this helps :)



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Answer:

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3 0
3 years ago
A particle moves along the x-axis so that at time t ≥ 0 its position is given by x(t) = 2t3 - 21t2 + 72t - 53. At what time t is
Zepler [3.9K]

Step-by-step explanation:

The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,

\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0

Since x(t) = 2t^3 - 21t^2 + 72t - 53, its derivative is

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Equating this to zero, we get

6t^2 - 42t + 72 = 0 \Rightarrow t^2 - 7t + 12 = 0

This is a familiar quadratic equation whose roots are

t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}

\;\;\;= \dfrac{7 \pm \sqrt{(7)^2 - 4(1)(12)}}{2}

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This means that the particle will be at rest at t = 3 and t= 4.

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Step-by-step explanation:

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3 years ago
F is between E and G. FE = 1/3 FG and EG = 24. find FG
deff fn [24]

Answer:

FG = 18

Step-by-step explanation:

                    24

---E--------------F--------------------------------G

        1/3FG            

4/3FG = 24

FG= 24×3/4

FG= 6×3

FG= 18

Hope this helps!!!

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3 years ago
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