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3 years ago

The output is one-fifth of the input

Mathematics

1 answer:

Sindrei [870]3 years ago

8 0

Y=X/5

Step-by-step explanation:

Step 1:

Let X be the input and Y be the output variable

Given: the output is one-fifth of the input

Step 2:

Y=X/5 be the require function

Eq:

for X=1, Y = 1/5

X=2, Y=2/5, etc

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Pre-Calc help! 10 points <br><br> Random answers will be reported!

Juli2301 [7.4K]

Step-by-step explanation:

To find out y intercept of any function, we plug in 0 for x and solve for y

For any function y=ab^x + c

The horizontal asymptote at y=c

Now we check each function

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Plug in 0 for x to find y intercept

$f(0) = 7^0 -4 = 1 -4 = -3$

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Horizontal asymptote at y=c , here c= -4

So horizontal asymptote at y = -4 and y intercept at (0,-3)

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Plug in 0 for x to find y intercept

$f(0) = 3^{0+2}+4 = 9+4= 13$

y intercept at (0,13)

Horizontal asymptote at y=c , here c= 4

So horizontal asymptote at y = 4 and y intercept at (0,13)

$f(x)= 9^{x+1} -4$

Plug in 0 for x to find y intercept

$f(0) = 9^{0+1}-4 = 9-4= 5$

y intercept at (0,5)

Horizontal asymptote at y=c , here c=-4

So horizontal asymptote at y = -4 and y intercept at (0,5)

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Plug in 0 for x to find y intercept

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y intercept at (0,5)

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3 years ago

Three research departments have 9, 7, and 10 members, respectively. Each department is to select a delegate and an alternate to

aivan3 [116]

Work:
First department: (They have 9 possibilities for delegate and 8 for alternate)
9 * 8 = 72
Second department: (They have 7 possibilities for delegate and 6 for alternate)
7 * 6 = 42
Third department: (They have 10 possibilities for delegate and 9 for alternate)
10 * 9 = 90
Total possibilities:
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I hope this helps!

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4 years ago

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sergiy2304 [10]

42-20=22 ---- I'm pretty sure that's the answer you're looking for.

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3 years ago

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Sergeeva-Olga [200]

The correct answer is A !

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