3 years ago

Find the slope of the line through each pair of points (-4,-3), (7 , 1)

Mathematics

1 answer:

Wittaler [7]3 years ago

3 0

The slope of the line is 4/11. to find this use, m=y2-y1/x2-x1 :)

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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

2 years ago

I need help with this one

OlgaM077 [116]

Answer:

112.98 square units

Step-by-step explanation:

Let's work backwards:

Circumference = 2πr

(37.68)/2π = r

Area = π $r^{2}$

Area = π * $((37.68)/2pi)^{2}$

Area = 112.983 square units

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3 years ago

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What is the area of this triangle?

Delicious77 [7]

If 2 plus 2 is four... then what the hell is this?

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2 years ago

The dairy king hold 64 cups of ice cream jerry uses a scoop that hold 1/4.how many scoops of ice cream can jerry get out each bu

Setler79 [48]

Answer:

16 cups

Step-by-step explanation:

64 × .25=16

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2 years ago

The bill for a pizza and soda was $20. You want to leave a 15% tip. What will be the total amount paid for the bill?

sukhopar [10]

Answer:

Step-by-step explanation:

20 *.15=3

20+3=23

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2 years ago

Find the slope of the line through each pair of points (-4,-3), (7 , 1)​

Find the slope of the line through each pair of points (-4,-3), (7 , 1)