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Lady bird [3.3K]
3 years ago
5

N + 16 = 9 Please help me need explanation

Mathematics
2 answers:
e-lub [12.9K]3 years ago
6 0

Answer: n = -7

Step-by-step explanation: Move all terms not containing n to the right side of the equation.

Hope this helps you out! ☺

vlabodo [156]3 years ago
5 0

Answer:

n = -7

Step-by-step explanation:

You do cancels and removal out by inverse operation to find the answer.

Step 1: Write out the equation.

n+16=9

Step 2: Subtract both sides by 16 to cancel out the positive 16.

n +<u>16 (-16)</u> = 9 -16

Step 3: After +16-16, 9-16, you shall not have any more operations like (+, -, *, or / )

n = -7

<em>*Note:</em>

<em> n = -7.</em>

<em>2n = -14.</em>

 

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during a softball game kay hit a fly ball the function f(x) = -16t^2 + 64t + 4 describes the height of the softball in feet. mak
STatiana [176]
<h2>Hello!</h2>

The graph is attached.

To graph a parabola we need to know the following:

- If the parabola is open upwards or downwards

- They axis intercepts (if they exist)

- The vertex position (point)

We are given the function:

f(t)=-16t^{2}+64t+4

Where,

a=-16\\b=64\\c=4

For this case, the coefficient of the quadratic term (a) is negative, it means that the parabola opens downwards.

Finding the axis interception points:

Making the function equal to 0, we can find the x-axis (t) intercepts, but since the equation is a function of the time, we will only consider the positive values, so:

f(t)=-16t^{2}+64t+4\\0=-16t^{2}+64t+4\\-16t^{2}+64t+4=0

Using the quadratic equation:

\frac{-b+-\sqrt{b^{2}-4ac } }{2a}=\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}\\\\\frac{-64+-\sqrt{64^{2}-4*-16*4} }{2*-16}=\frac{-64+-\sqrt{4096+256} }{-32}\\\\\frac{-64+-\sqrt{4096+256} }{-32}=\frac{-64+-(65.96) }{-32}\\\\t1=\frac{-64+(65.96) }{-32}=-0.06\\\\t2=\frac{-64-(65.96) }{-32}=4.0615

So, at t=4.0615 the height of the softball will be 0.

Since we will work only with positive values of "x", since we are working with a function of time:

Let's start from "t" equals to 0 to "t" equals to 4.0615.

So, evaluating we have:

f(0)=-16(0)^{2}+64(0)+4=4\\\\f(1)=-16(1)^{2}+64(1)+4=52\\\\f(2)=-16(2)^{2}+64(2)+4=68\\\\f(3)=-16(3)^{2}+64(3)+4=52\\\\f(4.061)=-16(4.0615)^{2}+64(4.0615)+4=0.0034=0

Finally, we can conclude that:

- The softball reach its maximum height at t equals to 2. (68 feet)

- The softball hits the ground at t equals to 4.0615 (0 feet)

- At t equals to 0, the height of the softball is equal to 4 feet.

See the attached image for the graphic.

Have a nice day!

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Code is given below along with explanation and output.

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we can use the method of list comprehension to achieve the given task.

In a list comprehension, we create a sub-list of elements which satisfy specific conditions. the condition i !=x makes sure that x would be excluded in the modified list.

def remove_all(L, x):

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L = [1, 2, 3, 4, 5, 6, 4, 3, 2, 4 ]

print('Before =',L)

L = remove_all(L, 4)

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