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Triss [41]
3 years ago
11

What 7.9% written as a decimal

Mathematics
1 answer:
eduard3 years ago
7 0
The answer is  0.079

*Remove percent sign 
*Move decimal back 2 times
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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
Pls help me pls pls
bekas [8.4K]

Answer:

190.8

Step-by-step explanation:

Im pretty sure my math is wrong but i hope this helps

6 0
3 years ago
Read 2 more answers
If the diameter of a circle has endpoints A (7,2) and B (-1,8), where is the center?
docker41 [41]
In the middle: x-coordinate= {7-(-1)}/2= 4 y-coordinate= (8-2)/2= 3 So centre is (4,3)
3 0
3 years ago
Read 2 more answers
State the domain and range for the function. f(x)=3cot(2x)
kozerog [31]
Please see attached image for the answer
Range: all real numbers

7 0
3 years ago
The square below has an area of 1+ 2x + x² square meters.
Brums [2.3K]

Answer:

1 + x  meters.

Step-by-step explanation:

A square has 4 equal sides so each side will have a length equal to the square root of the area.

Side length = √(1 + 2x + x^2)

                   = √(1 + x)(1 + x)

                   = 1 + x.

7 0
2 years ago
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