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Verdich [7]
3 years ago
5

What equation models the line that goes through the point (12,3) and has a slope of -1/3

Mathematics
1 answer:
vivado [14]3 years ago
5 0

Answer:

y= -1/3x+7

Step-by-step explanation:

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7x - 3y + 12z This is algebra and I’m really bad at it
aalyn [17]
Wait, this is simplified because there are no common terms.
3 0
3 years ago
Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.
Bas_tet [7]

Answer:

The function touches the damping factor

at x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

The x-intercept of f(x) is

at x=n\pi

Step-by-step explanation:

Given function is f(x)=e^{-3x} sin(x) and damping factor as y=e^{-3x} and y=(-1)e^{-3x}

To find when function touches the damping factor:

For f(x)=e^{-3x} sin(x) and y=e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=e^{-3x}

sin(x)=1

x=\frac{(4n-3)\pi}{2}

For f(x)=e^{-3x} sin(x) and y=(-1)e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=(-1)e^{-3x}

sin(x)=(-1)

x=\frac{(4n-1)\pi}{2}

Therefore, The function touches the damping factor x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

To find x-intercept of f(x):

For x-intercept, y=0

f(x)=e^{-3x} sin(x)

y=e^{-3x} sin(x)

e^{-3x} sin(x)=0

Hence, e^{-3x} is always greater than zero.

Therefore,sin(x)=0

x=n\pi

Thus,

The x-intercept of f(x) is at x=n\pi

7 0
4 years ago
Raj paid $31.86 for a new basketball. The price he paid included sales tax of 6.25%.
Marianna [84]
<span>D.
p + 6.25p = 31.86</span>
3 0
3 years ago
Simplify write in scientific notation 0.5(8x10^5)
Oksi-84 [34.3K]
10 to the 5th power means 5 times zero, place 8 before that and it will be 800000 then multiply with 0.5 it will be 400000. In scientific notation it will be like 4x10 the 5th power.
7 0
3 years ago
Read 2 more answers
The width of a rectangular room is 80% of its length. If the length of the room is 20 meters, what is the area of the room? A= l
KIM [24]

Answer:320ft^2

Step-by-step explanation:

80% of 20 is 16, because 80% is 4/5 and 20 divided by 5 is 4, multiplied by 4 is 16. Area is L x W, so 16 times 20 is 320, and don't forget unit of measurement, ft^2 for area

7 0
3 years ago
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