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Nesterboy [21]
3 years ago
14

Identify examples and non-examples of the standard form of a linear function.

Mathematics
1 answer:
marin [14]3 years ago
6 0

Answer:

  1. 5x - 3y = 9 (Example)
  2. y = 1/2x - 3 (Non-Example)
  3. 2x + 3y = 0 (Example)
  4. x + y = 1 (Example)
  5. x = 6y (Non-Example)
  6. y = x - 2 (Non-example)

Step-by-step explanation:

Standard form of the equation is given by:

Ax + By = C

Where

  • x and y are variables
  • A, B and C are constants which must be Integers. A should always be positive.

Considering the definition, we can identify the examples and non-examples of standard from of a linear equation.

<h3>5x - 3y = 9</h3>
  • In a form of Ax + By = C
  • A,B and C are constants
  • A=5 is positive

It is an EXAMPLE of standard form of linear function

<h3></h3><h3>y = 1/2x - 3</h3>
  • Not in the form of Ax + By =C

NON-EXAMPLE

<h3></h3><h3>2x + 3y = 0</h3>
  • In a form of Ax + By = C
  • A,B and C are constants
  • A=5 is positive

It is an EXAMPLE of standard form of linear function

<h3></h3><h3>x + y = 1</h3>
  • In a form of Ax + By = C
  • A,B and C are constants
  • A=5 is positive

It is an EXAMPLE of standard form of linear function

<h3></h3><h3>x = 6y</h3>
  • Not in the form of Ax + By =C

NON-EXAMPLE

<h3></h3><h3>y = x - 2</h3>
  • Not in the form of Ax + By =C

NON-EXAMPLE

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PLEASE HELLP Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer
Anna11 [10]

Answer:

Part A:

(1) x + y = 95

(2) x = y + 25

Part B:

The number of minutes Eric spends playing volleyball each day is 35 minutes

Part C:

It is not possible for Eric to have spent exactly 35 minutes playing basketball

Step-by-step explanation:

The total time Eric plays basketball and volleyball = 95 minutes

The time duration Eric plays basket ball = x

The time duration Eric plays volleyball = y

Part A:

The pair of relationships between the number of minutes Eric plays basketball (x) and the number of minutes he plays volleyball (y) are;

(1) x + y = 95

(2) x = y + 25

Part B:

By substituting the value of x in equation (2) into equation (1), we have;

x + y = (y + 25) + y = 95

2·y + 25 = 95

2·y = 95 - 25 = 70

y = 70/2 = 35 minutes

Therefore, Eric spends 35 minutes playing volleyball every day

Part C:

It is not possible for Eric to have spent only 35 minutes playing basketball because, given that he plays basketball for 25 minutes longer than he plays volley, the number of minutes he spends playing volleyball will then be given as follows;

x = y + 25

35 = y + 25

y = 35 - 25 = 10 minutes

The total time = x + y = 10 + 35 = 45 minutes ≠ 95 minutes.

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3 years ago
The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacem
Art [367]

Answer:

a

the displacement of the plane is  - \= w

b

The displacement of plane  from Portland to Akron with layover at Houston is  

       \= v  + \= w

c

  the vector which defines this displacement is  \= v + \= w  =- 2500 \ km

Step-by-step explanation:

From the question we are the

   The displacement from Portland, Oregon to Houston, Texas. is  \= v

    The displacement  from Houston, Texas to Akron, Ohio.  is \= wa

a

   The motion of the plane in question a is in the opposite direction to vector \= w

So the displacement of the plane is  - \= w

b

The motion of Portland to Houston to Akron is in the direction of both vector \= v and  \= w  so

The displacement of plane  from Portland to Akron with layover at Houston is  

       d =  \= v  + \= w

c

From the question we are told that the plane flies over Portland to get to  Anchorage, Alaska which implies that it is moving in opposite direction to the vector \= v

   Give that distance from Portland to Houston is  \= v  = 3000 km

           and the distance from Portland to  Anchorage is \= w = - 5500km

Then the vector which defines this displacement is mathematically represented as

   \= v + \= w  = 3000  -5500

    \= v + \= w  =- 2500 \ km

       

4 0
3 years ago
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ehidna [41]

Answer:

sure there is

Step-by-step explanation:

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8 0
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