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Len [333]
3 years ago
13

The depth of snow after n hours of a snowstorm is represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5. Which stat

ement describes the sequence of numbers generated by the function?
A)The depth of snow was 0.8 inches when the storm began, and 2.5 inches after the first hour of the storm.
B)The depth of snow was 1.7 inches when the storm began, and 0.8 inches of snow fell each hour.
C)The depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.
D)The depth of snow was 3.3 inches when the storm began, and 2.5 inches of snow fell in 1 hour.
Mathematics
2 answers:
Fed [463]3 years ago
8 0

Answer:

C) The depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.

Step-by-step explanation:

Alja [10]3 years ago
4 0
C

"When the storm began", it means it has been snowed for 0 hours, so n=0.
f(0)=2.5, thus the <span>depth of snow was 2.5 inches when the storm began.

f(n+1)=f(n)+0.8, so f(n+1)-f(n)=0.8
it means when the time increases by one hour, the depth of snow increases by 0.8 inches.</span>
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Cerrena [4.2K]

Answer:

a)180-57-20=103

b)180-103=77

Step-by-step explanation

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2 years ago
Which is an equation of the line that passes through the points (-1,9) and (4, 24)?
choli [55]

Answer:

y = 3x + 12

Step-by-step explanation:

Slope (m) = 24-9/4-(-1)

= 25/5

= 3

Using point (-1 , 9)

y - y1 = m (x - x1)

y - 9 = 3 (x - -1)

y - 9 = 3 (x + 1)

y - 9 = 3x + 3

y = 3x + 3 + 9

y = 3x + 12

4 0
3 years ago
For the functions f(x) = x^2+ 8x + 2 and g(x) = -5+9, find (f•g)(x)and (f.g)(-1).
Ne4ueva [31]

Answer:  (f·g)(x) = -5x³ - 31x² + 62x + 18

               (f·g)(-1) = -70

(fog)(x) = 25x² - 130x + 155

(fog)(-1) = 310

<u>Step-by-step explanation:</u>

f(x) = x² + 8x + 2          g(x) = -5x + 9

(f·g)(x) = (x² + 8x + 2)(-5x + 9)

          = -5x³ + 9x²

                    - 40x² + 72x

            <u>                    - 10x + 18</u>

          = -5x³ - 31x² + 62x + 18

(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18

         =  -5(-1)  - 31(1)    - 62      + 18

         =    5     -   31      - 62      + 18

         =  -70

****************************************************************************************

(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2

           = 25x² - 90x + 81

                       - 40x + 72

              <u>                   +   2</u>

           = 25x² - 130x + 155

(fog)(-1) = 25(-1)² - 130(-1) + 155

            =   25    +  130    + 155

            = 310

<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>

6 0
3 years ago
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Heelllppp please!!!!!!!
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Answer:

7.9

Step-by-step explanation:

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area of half of the circle equals 15.7÷2

=7.85

now round it of and it's 7.9

8 0
3 years ago
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