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igomit [66]
3 years ago
13

Given the following system, what would be the best way to start slowing the system?

Mathematics
1 answer:
dusya [7]3 years ago
6 0
A would be the correct answer because the y variable only has a coefficient of 1. So we would solve for y, which would get us y=3x+5, then we would substitute the value in the second equation which would look like -4x+5(3x+5)=58. Hope this helpss. :)
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3. In a single growing season at the Smith Family Orchard, the average yield per apple tree is 150 apples when the number of tre
g100num [7]

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
Combine like terms. <br> 2ac+4b+6ac-7a-b=
wolverine [178]

Answer:

8ac+3b-7a

Step-by-step explanation:

2ac+6ac+4b-b-7a=

3 0
3 years ago
Read 2 more answers
What is the value of x in the equation 3<br> 3x+9 - ģx-37<br> ?
Rom4ik [11]

Answer:

x = 6

Step-by-step explanation:

we can multiply the entire equation by 3 to simplify the numbers

-2x + 27 = 4x - 9

27 = 6x - 9

36 = 6x

x = 6

3 0
2 years ago
Estimate 7.411×47hhhh
Vinil7 [7]

answer is 348.31 h^4

3 0
3 years ago
The height of a soccer ball is kicked from the ground can be approximately by the function.
stira [4]

Answer:

1 second

Step-by-step explanation:

y = -16x² + 32x

y = -16(x² - 2x)

y = -16(x² - 2(x)(1) + 1² - 1²)

y = -16(x - 1)² + 16

Max height is when (x-1) = 0

So x = 1

4 0
3 years ago
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