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3 years ago

6

Line go passes through points (2,5) and (6,9) which equation represents line gh

1 answer:

irina [24]3 years ago

5 0

Make an equation in point-slope form, which is y - y = m(x - x)

First find the slope. The formula for slope is (y - y) over (x - x). In this case, the slope is (9 - 5) over (6 - 2) which simplifies to 1. The slope will be m in the point-slope equation.

Now fill in the formula:
9 - 5 = 1 (6-2)

This is the answer.

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

3 years ago

James wants to buy some CDs that cost $14 each and a DVD that costs $23. He has $65. Write an equation (in the Show your work ar

notsponge [240]

Answer:

3

Step-by-step explanation:

65-23= 42

42/14= 3

4 0

3 years ago

Read 2 more answers

Solve the system using the substitution method<br> 6x - 2y = -4<br> y= 3x + 2

Anit [1.1K]

Answer:

Step-by-step explanation:

6x - 2y = -4

y= 3x + 2

We see that y = 3x + 2 so we can use that value of Y everytime we see i in the other equation.

6x - 2(3x +2) = -4

Now usually we'd we simply solve for X.

6x - 6x -4 = -4

This clearly does not work as we cannot get rid of X

Therefore, this system of equations has no solution we can find through substitution

3 0

3 years ago

Read 2 more answers

Solve the system by graphing.<br><br> 3x+8y=16<br><br> 3x+8y=-64

Gnesinka [82]

<em>-3x-y=10</em>

<em>4x-4y=8</em>

<em>or</em>

<em>y = -3x - 10 </em>

<em>P(0,-10) and P(-2, -4) on this line: Plot and connect with the Line.</em>

<em></em>

<em> </em>

<em>y = x - 2</em>

<em>P(0, -2) and (2,0) on this line: Plot and connect with the Line.</em>

<em>P(-2,-4) is the ordered pair that is the solution for this system of EQs</em>

<em>On may CHECK by substituting x= -2 and y = -4 into the EQs of these Lines</em>

<em></em>

<em>Hope this helps!!!</em>

7 0

2 years ago

Can someone please help me with this question?

scoundrel [369]

90% Because you he’s been getting 85 and higher

5 0

3 years ago