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OLEGan [10]
3 years ago
9

A sinusoidal function whose period is 1/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3.

Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

Answer:

brainly.com/question/10395117

Step-by-step explanation:

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Find all x-intercepts and y-intercepts of the graph of the function.<br> F(x)=x³-4x² - 4x + 16
Lady bird [3.3K]

Answer: (0;16)  (4;0)  (2;0)  (-2;0).

Step-by-step explanation:

Y-intercepts of the graph of the function F(x)=x³-4x² - 4x + 16:

x=0\\F(x)=0^3-4*0^2-4*0+16\\F(x)=16.\\Hence,\  (0;16).

X-intercepts of the graph of the function F(x)=x³-4x² - 4x + 16:

F(x)=0\\0=x^3-4x^2-4x+16\\0=(x^3-4x^2)-(4x+16)\\0=x^2*(x-4)-4*(x-4)\\0=(x-4)*(x^2-4)\\0=(x-4)*(x^2-2^2)\\0=(x-4)*(x-2)*(x+2)\\x-4=0\\x_1=4.\\Hence,\ (4;0)\\x-2=0\\x_2=2.\\Hence,\ (2;0)\\x+2=0\\x_3=-2.\\Hence,\ (-2;0).

8 0
1 year ago
a parking garage charges $2.00 for the first hour and $0.50 for each fraction of an hour thereafter. Which statement describes t
zimovet [89]
The answer is A. The parking fee depends on the amount of time a person is parked
6 0
3 years ago
11/ 42 Marks
amm1812

Answer:

(a)x=128 degrees

(b)\angle APD\neq 116^\circ

Step-by-step explanation:

\angle ABD+\angle CBD =180^\circ$ (Linear Postulate)\\\angle ABD+116^\circ =180^\circ\\\angle ABD=180^\circ-116^\circ\\\angle ABD=64^\circ

(a) Now:

\angle AOD=2 \times \angle ABD$ (Angle at the centre is twice the  angle at the circumference)\\x=2 \times 64^\circ\\x=128^\circ

(b)

\angle APD=2 \times \angle ABD$ (Inscribed Angle Theorem)\\\angle APD=2 \times 64^\circ\\ \angle APD=128^\circ

\angle APD\neq 116^\circ

7 0
2 years ago
A right rectangular prism with dimensions of 2 cm 5 cm and 10 cm is shown.
lions [1.4K]

Answer:

What is the similar in the United States to the Canadian Charter of Rights and Freedoms?

Step-by-step explanation:

Volume= Length x Width x Height

though it does not have a diagram in this situation it does not matter the order you put the numbers in. any way you multiply them you will get the same answer/volume.

10cm x 5cm x 2cm=100cm^3

Hope this helps!

3 0
2 years ago
A bacteria culture starts with 1000 bacteria and the number doubles every 40 minutes. (a) find a formula for the number of bacte
vfiekz [6]

The formula for the number of bacteria at time t is 1000 x (2^t).

The number of bacteria after one hour is 2828

The number of minutes for there to be 50,000 bacteria is 324 minutes.

<h3>What is the number of bacteria after 1 hour?
</h3>

The exponential function that can be used to determine the number of bacteria with the passage of time is:

initial population x (rate of increase)^t

1000 x (2^t).

Population after 1 hour : 1000 x 2^(60/40) = 2828

Time when there would be 50,000 bacteria : In(FV / PV) / r

Where:

  • FV = future bacteria population = 50,000
  • PV = present bacteria population = 1000
  • r = rate of increase = 100%

In (50,000 / 1000)

In 50 / 1  = 3.91 hours x 60 = 324 minutes

To learn more about exponential functions, please check: brainly.com/question/26331578

#SPJ1

5 0
1 year ago
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