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11Alexandr11 [23.1K]
4 years ago
14

Which system is represented by the graph

Mathematics
1 answer:
alexandr1967 [171]4 years ago
6 0

Answer:

option A. 3x - y = 2 and 3x - y = 1

Step-by-step explanation:

Using the rule of y-intercept which is the value of y when x equals 0

<u>Option A:</u> 3x-y=2 and 3x-y=1

y-intercepts will be ⇒ -2 and -1

<u>Option B:</u> 3x+y=2 and 3x-y=1

y-intercepts will be ⇒ 2 and -1

<u>Option C:</u> 3x-y=2 and 3x+y=1

y-intercepts will be ⇒ -2 and 1

<u>Option D:</u> 3x+y=2 and 3x+y=1

y-intercepts will be ⇒ 2 and 1

Comparing the results with the y-intercepts from the graph

From the graph the system of equation intersects with y-axis, (which mean x=0), at y = -2 , -1

So, the system which is represented by the graph is option A

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Bikes'R'Us manufactures bikes, which sell for $250. It costs the $180 per bike, plus a startup fee of $3,500. After how many bik
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<u>Answer:</u>

The bikes sold at break even by the manufacturer is 50 units

<u>Explanation:</u>

We know that break even point is given by  the following formula,

$\frac{\text { Fixed costs }}{\text { (Price per unit - Variable costs) }}$

We are given startup fee = $3500 which is the fixed cost,

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cost per bike is equal to $180

So substituting these values in the formula we get

= \frac{3500}{(250-180)}

= \frac{3500}{(70)}  = 50

= 50 units which is the number of bikes sold at break even by the manufacturer.

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Step-by-step explanation:

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