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Vikentia [17]
2 years ago
12

Type the correct answer in each box. Use numerals instead of words. Function f is given by the table of values shown. x 0 1 2 3

f(x) 7 0 -5 -8 If function f is reflected across the x-axis to obtain function g, complete the table of values which represents function g. x 0 1 2 3 g(x)
Mathematics
1 answer:
nirvana33 [79]2 years ago
5 0

Using translation concepts, it is found that the table of values for function g(x) is given as follows:

x      0  1  2 3

g(x) -7  0 5 8

<h3>What happens when a function is reflected across the x-axis?</h3>

When a function is reflected across the x-axis, all it's values are multiplied by -1.

Hence, considering the values of f(x) given in the problem, the table of values for function g(x) is given as follows:

x      0  1  2 3

g(x) -7  0 5 8

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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During the first decade of the century, the population of a certain city was 145,380 in 2000 and 219,135 in 2010. Find the expon
Likurg_2 [28]

Answer:

The exponential growth function is P=145380e^{0.04103t}

Step-by-step explanation:

Given: The population of a certain city was 145,380 in 2000 and 219,135 in 2010.

To find: exponential growth function that models the growth of the city

Solution:

The exponential growth function is given by P=P_0 e^{kt}

Here, P denotes total population after time t

P_0 denotes initial population

k denotes rate of growth

t denotes time

As P(0)=145,380,

145380=P_0e^{0}\\145380=P_0\\P=145380e^{kt}

As P(10)=219135

219135=145380e^{10k}\\e^{10k}=\frac{219135}{145380}\\=1.507326\\k=\frac{1}{10}\ln (1.507326)\\=0.04103\\\Rightarrow P=145380e^{0.04103t}

8 0
3 years ago
Instructions: Match each step with the correct ordered description for how to construct a copy of line
Dmitry [639]

Answer:

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Hope This Helps!!!

3 0
3 years ago
ABCD is a rectangle. Find the length of each diagonal...
Dominik [7]
Setting AC = BD because the diagonals are congruent, then 3y/5 = 3y -4
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4 0
4 years ago
A ball moves in a straight line has an acceleration of a(t) = 2t + 5. Find the position function of the ball if its initial velo
Vlad1618 [11]

Answer:

s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12

Step-by-step explanation:

Relation between acceleration, velocity and position:

The velocity function is the integral of the acceleration function.

The position function is the integral of the velocity function.

Acceleration:

As given by the problem, the acceleration function is a(t) = 2t + 5

Velocity:

v(t) = \int a(t) dt = \int (2t+5) dt = \frac{2t^2}{2} + 5t + K = t^2 + 5t + K

In which K is the constant of integration, which is the initial velocity. So K = -3 and:

v(t) = t^2 + 5t - 3

Position:

s(t) = \int v(t) dt = \int (t^2 + 5t - 3) = \frac{t^3}{3} + \frac{5t^2}{2} - 3t + K

In which K, the constant of integration, is the initial position. Since it is 12:

s(t) = frac{t^3}{3} + \frac{5t^2}{2} - 3t + 12

4 0
3 years ago
Burt's grandparents started a savings account for him when he was born. They invested
SashulF [63]

Answer:

4594.76 USD will be in the account on Burt's 18th birthday.

Step-by-step explanation:

Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:

C = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t} (1)

Where:

C_{o} - Initial amount, measured in US dollars.

C - Current amount, measured in US dollars.

r - Annual interest rate, measured in percentage.

t - Time, measured in years.

If we know that C_{o} = 1250\,USD, r = 7.5 and t = 18, then the money in the savings account on Burt's 18th birthday is:

C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}

C = 4594.76\,USD

4594.76 USD will be in the account on Burt's 18th birthday.

5 0
3 years ago
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