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Ket [755]
3 years ago
9

A (litres)

Mathematics
1 answer:
gladu [14]3 years ago
4 0

Answer:

Step-by-step explanation:

Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.

a). Gradient of the line = \frac{\text{Rise}}{\text{Run}}

                                      = \frac{(160-120)}{(0-8)}

                                      = -5

    A-intercept = 160

b). Linear equation to represent the given relation in the graph will be,

  A = (-5)t + 160

c). At t = 15 minutes,

   A = (-5)(15) + 160

   A = -75 + 160

   A = 85 liters

d). This model is applicable till the container gets fully emptied.

   For A = 0,

   0 = -5t + 160

   t = \frac{160}{5}

   t = 32 minutes

   Therefore, this model is reasonable up to t = 32 minutes.

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How do you factorize p2 + 2p - 3 =0
julia-pushkina [17]

Answer:

Solution

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Step-by-step explanation:

Simplifying

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-3 + 2p + p2 = 0

Solving for variable 'p'.

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Subproblem 1

Set the factor '(-3 + -1p)' equal to zero and attempt to solve:

Simplifying

-3 + -1p = 0

Solving

-3 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

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Combine like terms: 0 + 3 = 3

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Divide each side by '-1'.

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Simplifying

p = -3

Subproblem 2

Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying

1 + -1p = 0

Solving

1 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -1p = 0 + -1

Combine like terms: 1 + -1 = 0

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Combine like terms: 0 + -1 = -1

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Divide each side by '-1'.

p = 1

Simplifying

p = 1

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Answer:

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