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Sati [7]
3 years ago
14

What is the y- intercept of a line that goes through the points (3,-2)& has a slope of -4?

Mathematics
1 answer:
yulyashka [42]3 years ago
8 0

Answer:

I'm pretty sure that this is correct.

Step-by-step explanation:

this is the equation of a straight line that is generally written

y = m × x + q

m is the slope of the line and is the proportionality coefficient between y and x.

The larger m is, the more the line is hanging

q (-3) is the intercept with the Y axis and is the value you find if you put x=0 (this is the axis y equation)

similarly if you put Y=0 (that is the equation of X axis you find the intercept with X axis that is X= 3/2

graph{2x-3 [-10, 10, -5, 5]}

If I am wrong I am SO SO <em>Sorry.</em> But I hope that I <em><u>Helped!</u></em> :D

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Answer:

<em><u>A.10000</u></em>

<em><u>B.25 more trees must be planted</u></em>

Step-by-step explanation:

⇒Given:

  • The intial average yield per acre y_{i} = 150
  • The initial number of trees per acre  t_{i} = 100
  • For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
  • Total yield = (number of trees per acre)*(average yield per acre)

<em>A.</em>

⇒If the total trees per acre is doubled , which means :

total number of trees per acre t_{f} = 2*t_{i} = 200

the yield will decrease by : t_{f} - y_{i}

y_{f}= 150-100= 50

⇒total yield = 50*200=10000

<em>B.</em>

⇒to maximize the yield ,

let's take the number of trees per acre to be 100+y ;

and thus the average yield per acre = 150 - y;

total yield = (100+y)*(150-y)\\=15000+50y-y^{2} \\

this is a quadratic equation. this can be rewritten as ,

     ⇒   =15000+50y-y^{2}\\=15000+625 - (625 - 50y +y^{2})\\=15625 - (y-25)^{2}

In this equation , the total yield becomes maximum when y=25;

<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>

                 

3 0
3 years ago
The prices of 8 sweaters, in dollars, are given.
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First order all the numbers least to greatest.<span>

$28, $28, $30, $31, $35, $36, $41, $43

Because there are two numbers in the middle (no, one middle number).

Add the two together, and divide by 2

31 + 35 = 66

66/2 = 33

</span><span>B.$33 is your answer

hope this helps</span>
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