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Blababa [14]
3 years ago
5

If f(x) = 2x + 4 and g(x) = 6x - 10, find f(4) - g(2)

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

Answer:

f(4) - g(2) = 10

Step-by-step explanation:

f(x) = 2x + 4 \\ f(4) = 2 \times 4 + 4 = 8 + 4 = 12 \\  \\ g(x) = 6x - 10 \\  g(2) = 6 \times 2 - 10 = 12 - 10 = 2 \\  \\  f(4)  - g(2)  = 12  - 2 \\  \\ \huge \red{ \boxed{ f(4)  - g(2)  = 10}}

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A circle has a circumference of 6. It has an arc of length
Minchanka [31]

Answer:

Ф = CO/(6 units)

Step-by-step explanation:

The formula for arc length is s = rФ, where Ф is the central angle.  This can be solved for Ф, the central angle:

         

        arc length

Ф  = ------------------

            radius

If the given arc length is represented by CO, then the central angle is

Ф = CO/(6 units)

4 0
3 years ago
What set of transformations is performed on triangle RST to form triangle R’S’T’?
DanielleElmas [232]

Answer:

The last option is correct

Step-by-step explanation:

A translation of 2 units down takes S to the point (1, -1). Then a counterclockwise rotation  about the origin  takes S to the point  (-1, -1)  where we have S' .  

8 0
3 years ago
Read 2 more answers
The number of bacteria in a certain culture doubled every hour. If there were 30 bacteria present in the culture initially, how
vichka [17]

Answer:

The number of bacteria after 8th will be 3840

Step-by-step explanation:

Given the initially 30 bacteria present in the culture.

Also, the number of bacteria got doubled every hour.

So, using the equation

A=A_0r^{n-1}

Where A is number of bacteria after n hours.

A_0 is bacteria present initially.

r is the common ration, in our problem it is given that bacteria doubles every hour. So, r=2

And n is the number of hours. In our problem we need amount of bacteria at the end of 8th hours. So, n=8

Plugging values in the formula we get,

A=30(2)^{8-1}\\A=30\times 2^7\\A=30\times 128\\A=3840

So, number of bacteria after 8th will be 3840

3 0
3 years ago
PLEASE HELP ME<br> Find the total surface area of the figure shown.
otez555 [7]

Answer:

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Step-by-step explanation:

8 0
3 years ago
A planet has a circular orbit around a star. It is a distance of 65,000,000 km from the centre of the star. It orbits at an aver
guapka [62]

Answer:

Step-by-step explanation:

Orbit = 2*pi * r

r = 65000000 km

Orbit = 65000000 * 2 * 3.14

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t = time = d / s

t = 406,000,000 / 65000

t = 6280 hours.

1 day = 24 hours.

t = 6280 / 24 = 261.67 days

8 0
3 years ago
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