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emmasim [6.3K]
2 years ago
13

PLEASEEE HELP ME ON THIS QUESTION !!!!!!!!!

Mathematics
1 answer:
Lostsunrise [7]2 years ago
4 0
As you notice by the table, the “y” value, f(x), is decreased in g(x). Therefore, it undergoes vertical compression.
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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.
yarga [219]

Answer:

15092cm^3

Step-by-step explanation:

The total thickness of the strip of metal sheet  would be 2*10=20cm

the new radius of the cylinder would be 9/2+20=24.5cm

Volume of a cylinder: ((pi)r^2)h

the height is 8cm

Volume : (22/7)*24.5^2*8

=15092cm^3

7 0
3 years ago
You have lunch at an Italian restaurant. The cost of lunch before tax is
coldgirl [10]

7/100 = 0.07

0.07 * 12.5 = 0.88

20/100 = 0.2

0.2 * 12.5 = 2.5

2.5 + 0.88 = 3.38

3.38 + 12.50 = 15.88

You spend a total of $15.88.

4 0
3 years ago
Read 2 more answers
Nicholas can make 6 cupcakes (the y value) with one cup of
masya89 [10]
36 cupcakes if one cup of flour is 6 cupcakes you multiply the amount of flour by 6
4 0
3 years ago
Convert the equation to the standard form for a parabola by completing the square on x or y as appropriate. x2 + 4x + 8y + 36 =
Tatiana [17]
The equations standered form is y=-x^2/8-x/2-9/2
5 0
3 years ago
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