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kenny6666 [7]
3 years ago
7

The sum of five-sixths of f, one-half of p, and 3

Mathematics
1 answer:
Arlecino [84]3 years ago
3 0

Answer:

The expression would look like this: \frac{5}{6}f + \frac{1}{2}p + 3

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You throw a ball up and its height h can be tracked using the equation h=2x^2-12x+20.
postnew [5]

<em><u>This problem seems to be wrong because no minimum point was found and no point of landing exists</u></em>

Answer:

1) There is no maximum height

2) The ball will never land

Step-by-step explanation:

<u>Derivatives</u>

Sometimes we need to find the maximum or minimum value of a function in a given interval. The derivative is a very handy tool for this task. We only have to compute the first derivative f' and have it equal to 0. That will give us the critical points.

Then, compute the second derivative f'' and evaluate the critical points in there. The criteria establish that

If f''(a) is positive, then x=a is a minimum

If f''(a) is negative, then x=a is a maximum

1)

The function provided in the question is

h(x)=2x^2-12x+20

Let's find the first derivative

h'(x)=4x-12

solving h'=0:

4x-12=0

x=3

Computing h''

h''(x)=4

It means that no matter the value of x, the second derivative is always positive, so x=3 is a minimum. The function doesn't have a local maximum or the ball will never reach a maximum height

2)

To find when will the ball land, we set h=0

2x^2-12x+20=0

Simplifying by 2

x^2-6x+10=0

Completing squares

x^2-6x+9+10-9=0

Factoring and rearranging

(x-3)^2=-1

There is no real value of x to solve the above equation, so the ball will never land.

This problem seems to be wrong because no minimum point was found and no point of landing exists

3 0
3 years ago
Helppppp meeee pleassseee
dybincka [34]
I think it would be H tell me if it ain’t
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3 years ago
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Solve this question in the following photo​
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Answer:

55/43

Step-by-step explanation:

(x/y) = 7/3, (x^2/y^2)=49/9, multiply by 3 above and multiply 2 below, 3x^2/2y^2=147/18. Next apply C&D and you will get (3x^2+2y^2)/(3x^2-2y^2)=(147+18)/(147-18)=165/129=55/43

6 0
2 years ago
The local video store is having a sale on video games. The store is offering a sale pack of 4 video games for $48. What is the p
Alinara [238K]
A single video game would cost $12
8 0
3 years ago
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In a board game, Rose gets x + 4 points when she lands on a green space, 7x – 1 points for landing on a blue space, and -4x poin
ra1l [238]

Answer:

5x-3

Step-by-step explanation:

x+4+7x-1-4x

5x-3

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3 years ago
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