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4 years ago

A friend runs up to you and excitedly explains that she has found that she has found a function g with the following properties:

1 answer:

7 0

Given the start point of (0,1) and (1,5), the average slope is (5-1)/(1-0) = 4. So the finding that g'(x) for the interval is <=3 cannot be true. It might be for a small segment but not the entire interval.

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The area of this rectangle

ANEK [815]

The answer is 36 m.

This is really simple. To solve, multiply the length and the width and BAM! There's your answer. So for this problem, multiply 12 by 3 and don't forget to include the unit measurement.

12 * 3 = 36
Area = 36 m

Hope this helps! :)

7 0

4 years ago

Y – 10 = -2(x + 9)

kolbaska11 [484]

Answer:

slope intercept form

y=-2x-8

m=-2

y-intercept = (0,-8)

5 0

3 years ago

An apple orchard has an average yield of 36 bushels of apples per tree if tree density is 26 trees per acre. For each unit incre

Rama09 [41]

Answer:

4 trees per acre

Step-by-step explanation:

Given,

The original number of apples per tree = 36 bushels,

Original density of a tree = 26 per acre,

Since, for each decrease in tree density, the yield increases by 2 bushels per tree.

Let x be the number of units decreased in tree density,

So, new density = 26 - x,

New number of apples = 36 + 2x

Thus, the total yield would be,

P(x) = Number of apples per tree × density of a tree

⇒ P(x) = (26 - x)(36 + 2x)

⇒ P(x) = 936 + 52x - 36x - 2x²,

⇒ P(x) = 936 + 16x - 2x²

Differentiating with respect to x,

P'(x) = 16 - 4x

Again differentiating with respect to x,

P''(x) = -4

For maxima or minima,

P'(x) = 0

⇒ 16 - 4x = 0

⇒ -4x = -16

⇒ x = 4

For x = 4, P''(x) = negative,

Hence, 4 trees per acre should be planted to maximize the yield.

3 0

3 years ago

A 3600 kg car enters a curve with a diameter of 40 m. If the car is moving at a speed of 15 m/s, what is the centripetal force t

Aneli [31]

Answer:

40*45=1800

Step-by-step explanation:

5 0

3 years ago

How do you write the equation of a circle if you know it's radius and the coordinates of its center

ANTONII [103]

So you must talking about the circumference I guess.

3.14( pi) * diameter.

5 0

3 years ago