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2 years ago

15

Which statement describes the graph of the system of equations below?

2 answers:

insens350 [35]2 years ago

8 0

1.5x + 0.2y = 2.68....multiply by 0.3
1.6x + 0.3y = 2.98...multiply by - 0.2
------------------------
0.45x + 0.06y = 0.804 (result of multiplying by 0.3)
- 0.32x - 0.06y = - 0.596 (result of multiplying by - 0.2)
----------------------add
0.13x = 0.208
x = 0.208/0.13
x = 1.6

1.5x + 0.2y = 2.68
1.5(1.6) + 0.2y = 2.68
2.4 + 0.2y = 2.68
0.2y = 2.68 - 2.4
0.2y = 0.28
y = 0.28/0.2
y = 1.4

solution (they intersect at) (1.6,1.4)

Marta_Voda [28]2 years ago

3 0

Answer:

The lines intersect at (1.6,1.4).

Step-by-step explanation:

1.5x + 0.2y = 2.68

0.2y = -1.5x + 2.68

y=( -1.5x + 2.68)/0.2

<u>y=-7.5x+13.4</u>

1.6x + 0.3y = 2.98

0.3y = -1.6x + 2.98

y=( -1.6x + 2.98)/0.3

<u>y=-5.3333x+9.9333</u>

<em>The lines are not parallel because they have different slopes -7.5≠-5.3333</em>

<em>The lines do not overlap at all points. example for x=0 9.9333≠13.4</em>

to get the intersection point

-5.3333x+9.9333=-7.5x+13.4

2.1667x=3.4667

x=1.6

replacing x in any of the equations

y=-7.5x1.6+13.4=1.4

Then the lines intersect at (1.6,1.4).

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2 years ago

Delta furnishings received an invoice dated may 10 for a shipment of goods received june 21. The invoice was for a $8400.00 less

djyliett [7]

Answer:

The right solution is:

(a) $1,940

(b) $2,813

Step-by-step explanation:

Given:

Invoice amount

= $8,400

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Discount 2

= 12.5%

So,

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Balance still to be paid will be:

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(b)

Amount paid will be:

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= $2900\times 0.97$

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Thus the above solution is the appropriate one.

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