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Bess [88]
3 years ago
7

A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 45 dumpster loads of

waste removed. In week 10, there were 30 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.
f(x) = −3x + 45
f(x) = 3x + 45
f(x) = −3x + 60
f(x) = 3x + 60
Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Answer:

f(x) = -3x+60

Step-by-step explanation:

For the slope of the function:

  • Comparing week 5 to week 10: we know that as time goes on, the number of dumpster loads decreases from 45 to 30. This means the slope has to be negative.

For the intercept of the function:

  • Since it's a negative-sloped linear function, we know that the y-intercept has to be bigger than the y-value at week 5. This means it has to be 60.

Therefore:

f(x) = -3x+60

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Please help out and if you know help me show work ??
Ghella [55]

Answer:  14

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

Consecutive even numbers would be {2, 4, 6, 8, 10, ...}

Let x represent the smallest number, then x + 2 is the middle number and x + 4 is the largest number.

1st number: x

2nd number: x + 2

3rd number: x + 4

1st number + 2nd number + 3rd number = Sum

      (x)        +      (x + 2)       +      (x + 4)      =  48

                                                      3x + 6   =  48

                                                      3x          = 42

                                                        x           = 14

1st number: x           ⇒ x = 14

2nd number: x + 2   ⇒ 14 + 2 = 16

3rd number: x + 4    ⇒ 14 + 4 = 18

<u>Check:</u>

14 + 16 + 18 = 48 \checkmark

 

7 0
3 years ago
Math help please? w/ only two questions.
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Rasek [7]

Answer

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Step-by-step explanation:

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Ainat [17]
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Nonamiya [84]

Answer:

Step-by-step explanation:

2 functions start by making a domain

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Function 2: -1≤x≤1

Now come up with equations

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Function 2= 5

Now put it all together

f(x)= x+3 for -3≤x<1 and 5 for -1≤x≤1

8 0
2 years ago
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