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Hunter-Best [27]

3 years ago

15

In a big garden 60% of the trees are coconut trees,25%of the number of coconut trees are mango trees and 20% of the number ofof

mango trees are apple trees. if the number of apple trees are 1500 then the number of trees in the garden is?

1 answer:

AVprozaik [17]3 years ago

3 0

<span>the number of trees in the garden = x
</span><span>coconut trees = 0.6x
</span><span>mango trees = 0.6x * 0.25 = 0.15x
</span><span>apple trees = 0.15x * 0.2 = 0.03x

0.03x = 1500
x = 1500/0.03
x = 50 000 </span>← <span>the number of trees in the garden.</span>

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Consider the equation below. f(x) = 2x3 + 3x2 − 336x (a) Find the interval on which f is increasing. (Enter your answer in inter

Vaselesa [24]

We have been given a function $f(x)=2x^3+3x^2-336x$ . We are asked to find the interval on which function is increasing and decreasing.

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So $x=-8,7$ are critical points and these will divide our function in 3 intervals $(-\infty,-8)U(-8,7)U(7,\infty)$ .

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Since $f'(9)>0$ , therefore, function is increasing on interval $(-\infty,-8)$ .

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Since $f'(1)$ , therefore, function is decreasing on interval $(-8,7)$ .

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$f'(x)=(x+8)(x-7)$

$f'(8)=(8+8)(8-7)=(16)(1)=16$

Since $f'(8)>0$ , therefore, function is increasing on interval $(7,\infty)$ .

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Let us find values of f(x) on these two points.

$f(-8)=2(-8)^3+3(-8)^2-336(-8)$

$f(-8)=1856$

$f(7)=2(7)^3+3(7)^2-336(7)$

$f(7)=-1519$

Therefore, $(-8,1856)$ is a local maximum and $(7,-1519)$ is a local minimum.

(c) To find inflection points, we need to check where 2nd derivative is equal to 0.

Let us find 2nd derivative.

$f''(x)=6(2)x^{1}+6$

$f''(x)=12x+6$

$12x+6=0$

$12x=-6$

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$x=-\frac{1}{2}$

Therefore, $x=-\frac{1}{2}$ is an inflection point of given function.

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3 years ago

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3 years ago

Mir evaluated 5x - (x + 3)2 for x = 2, as shown. Describe Amir's mistake and find the correct answer. 5(2) - (2 + 3)2 = 10 + (-5

sleet_krkn [62]

Answer:correct answer =0

Step-by-step explanation:

Step 1

5x - (x + 3)2

Putting the coefficient of x =2 in the equaton we have

5(2) - (2 + 3)2

Solving out

5(2) - (5)2

= 10- 10

=0

Step 2

Amir's mistake was in the multiplication and wrong use of the negative sign of the bolded below

5(2) - (2 + 3)2 = 10 + (-5)2 = 10 + 25 = 35

-(5)2 cannot give 25 instead 10, so him getting a 25 and wrong use of the negative and positive made his answer wrong.

The right answer as calculated in step 1 = 0

4 0

3 years ago

Read 2 more answers