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Yanka [14]
3 years ago
5

Choose the best function model to represent the following situation: The height of a penny as it is dropped from a building roof

.
1. Linear
2. Exponential
3. Quadratic
4. None of the above
Please Answer This is worth 100 points. If you answer correctly I will give you branliest.
Mathematics
2 answers:
White raven [17]3 years ago
7 0

Answer:

3. Quadratic

Step-by-step explanation:

Penny is falling under gravity

acceleration due to gravity is constant

Velocity is the integral of acceleration, which is linear

Displacement is the integral of velocity, which is quadratic

kolezko [41]3 years ago
5 0
Answer: Quadratic

Explanation: Because the penny is falling, the penny will gain speed as it falls. This means that the penny will get rid of height in a shorter time making the line curved.
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Help? I’ll mark u brainliest
andrew-mc [135]

Answer:

11 because adjacent is basically next to and NKL is 12

Step-by-step explanation:

6 0
3 years ago
Given functions f ( x ) = 1 √ x and m ( x ) = x 2 − 4 , state the domains of the following functions using interval notation.
babunello [35]

The domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) =  1/√x

m(x) = x² - 4

Domain of f(x)/m(x):

f(x)/m(x) = (1/√x)/(x² - 4)

f(x)/m(x) = 1/√x(x² - 4)

The denominator cannot be zero:

√x(x² - 4) ≠ 0

x(x - 2)(x+2) ≠ 0

x ≠ 0, 2, -2

and x > 0

Domain of f(x)/m(x) is:   (0, ∞) - {0, 2, -2} or \:\left(0,\:2\right)\cup \left(2,\:\infty \:\right)

Domain of f(m(x)):

f(m(x)) = 1/√(x² - 4)

x² - 4 > 0

Domain: \rm \left(-\infty \:,\:-2\right)\cup \left(2,\:\infty \:\right)

Domain of m(f(x)):

= ((1/√x)² - 4)

Domain: \:\left(0,\:\infty \:\right)

Thus, the domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

7 0
2 years ago
Simplify this (2x)^{3}
Margaret [11]

Answer:

8x^3

Step-by-step explanation:

(2x)3

=(2x)3

=2x*2x*2x

=8x^3

7 0
2 years ago
Solve each quadratic equation. Show your work.<br><br><br> 14. (2x – 1)(x + 7) = 0
melisa1 [442]
<span>(2x – 1)(x + 7) = 0

2x-1=0
2x=1
x=1/2
x=0.5

x+7=0
x= -7
</span>
5 0
3 years ago
Read 2 more answers
A population of values has a normal distribution with μ = 158.9 μ = 158.9 and σ = 90.4 σ = 90.4 . You intend to draw a random sa
rosijanka [135]

Answer:

P_{39}=133.68    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 158.9

Standard Deviation, σ = 90.4

We are given that the distribution is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.39

P( X < x) = P( z < \displaystyle\frac{x - 158.9}{90.4})=0.39  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 158.9}{90.4} = -0.279\\\\x = 133.6784\approx 133.68  

P_{39}=133.68

133.68 separates the bottom 39% means from the top 61% means.

7 0
3 years ago
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