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slavikrds [6]
3 years ago
14

For which function does f decrease by 15% every time x increases by 1

Mathematics
1 answer:
LenaWriter [7]3 years ago
7 0

Answer:

f(x) = 0.85^{x}

Step-by-step explanation:

The exponential function that decrease by 15% every time x increases by 1 is given by:

f(x) =  {(1 - 0.15)}^{x}

We simplify the parenthesis to get:

f(x) = 0.85^{x}

Therefore the decrease by 15% every time x increases by 1 is

f(x) =  {0.85}^{x}

The second choice is correct.

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Answer:

20 days

Step-by-step explanation:

We multiply 25 by 4 to get 100, then multiply 5 by 4 to get 20.

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Given the equation 3x - 4y = 8, which equation below would cause a consistent-dependent system?
Len [333]
3x - 4y = 8

y = mx + b ; m is the slope ; b is the y-intercept

-4y = -3x + 8
y = -3x/-4 + 8/-4
<u>y = 3/4 x - 2</u>

Need to check if the given choices have the same slope.

3x + 4y = -8
4y = -3x - 8
y = -3/4 x - 8/4 = -3/4 x - 2

6x - 8y = 12
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y = -6/-8 x + 12/-8
y = 3/4 x - 1 1/2

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y = -9/-12 x + 24/-12
<u>y = 3/4 x - 2</u>  

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y = -16/12 x - 10/12
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3 years ago
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2 years ago
Find all the zeros for each function P(x)=x^4-4x^3-x^2+20x-20
ivanzaharov [21]

Answer:

The zeros of the given polynomial function are

2,2,\pm\sqrt{5}

Step-by-step explanation:

Given polynomial is P(x)=x^4-4x^3-x^2+20x-20

To find the zeros equate the given polynomial to zero

ie., P(x)=0

P(x)=x^4-4x^3-x^2+20x-20=0

By using synthetic division we can solve the polynomial:

2_|   1     -4     -1      20      -20

       0      2     -4     -10       20

   _____________________

       1     -2      -5      10      |_0

Therefore x-2=0

x=2 is a zero of P(x)

Now we can write the cubic equation as below:

x^3-2x^2-5x+10=0

Again using synthetic division

2_|   1     -2     -5     10      

       0      2      0    -10    

    ______________

       1      0      -5     |_0

Therefore x-2=0

x=2 is also a zero of P(x).

Now we have x^2+0x-5=0

x^2-5=0

x^2=5

x^=\pm\sqrt{5} is a zero of P(x)

Therefore the zeros are 2,2,\pm\sqrt{5}

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3 years ago
What do you think that ADA has explicit regulations on slopes and ramps?​
yarga [219]

Answer:

I think that the ADA (Americans with Disabilities Act) has explicit regulations on slopes and ramps so that people with disabilities can go about their daily life easier, and to guarantee the safety and wellbeing of the disabled. If, for instance, a wheelchair ramp were too steep, there would be a danger of the wheelchair rolling down too quickly, or the person falling backward on their way up.

7 0
3 years ago
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