(03.06)A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 60 dumpster loads of waste removed. In week 10, there were 40 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) = −4x + 60
f(x) = 4x + 60
f(x) = −4x + 80
f(x) = 4x + 80

Answers

Answer 1
Answer: Given:
Week 5 = 60 dumpster load
Week 10 = 40 dumpster load

60 - 40 = 20
  5 - 10 =   5 

20/5 = 4 dumpster load per week.

Week 0 to Week 5 = 20 ⇒ 20+60 = 80

f(x) = -4(x) + 80
f(5) = -4(5) + 80
f(5) = -20 + 80
f(5) = 60

f(10) = -4(10) + 80
f(10) = -40 + 80
f(10) = 40
Answer 2
Answer:

Answer:

C

Step-by-step explanation:

I dont have proof but I promise you its right. :)


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X-y+z=-4

3x+2y-z=5

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Answers

1)\ \ \ x-y+z=-4\ \ \ \Rightarrow\ \ \ z=-4-x+y\n\n2)\ \ \ 3x+2y-z=5 \n.\ \ \ \ \Rightarrow\ \ 3x+2y-(-4-x+y)=5 \n.\ \ \ \ \Rightarrow\ \ 3x+2y+4+x-y=5 \n.\ \ \ \ \Rightarrow\ \ 4x+y=1\n\n3)\ \ \ -2x+3y-z=15\n.\ \ \ \ \Rightarrow\ \ -2x+3y-(-4-x+y)=15\n.\ \ \ \ \Rightarrow\ \ -2x+3y+4+x-y=15\n.\ \ \ \ \Rightarrow\ \ -x+2y=11\n--------------------\n

z=-4-x+y\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ and\n \left \{ {{4x+y=1\ \ \ \ } \atop {-x+2y=11\ /\cdot4}} \right. \n\n\left \{ {{4x+y=1\ \ \ \ } \atop {-4x+8y=44}} \right. \n-------\ny+8y=1+44\n9y=45\ /:9\ny=5\n\n-x+2y=11\ \ \ \Rightarrow\ \ \ x=2y-11\ \ \ \Rightarrow\ \ \ x=2\cdot5-11=-1\n\nz=-4-x+y=-4-(-1)+5=-4+1+5=2\n\nAns.\ x=-1\ \ \ and\ \ \ y=5\ \ \ and\ \ \ z=2

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Answers

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Which of the following quadrilaterals are similar?

Answers

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Answers

1+4=5
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1 unit is 10
1 unit to 4 unit

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you were planning to use a ceramic tile design in your new bathroom. The towels are blue and white equilateral triangle of you decides arrange the blue tiles in a hexagonal shape as shown if the side of each tile measures 7 cm what were the exact area of each hexagonal shape

Answers

I found the image that should have accompanied this problem.

Given:
equilateral triangle with sides that measures 7cm.
hexagonal shape meaning 6 sides or 6 equilateral triangles used.

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Answers

Answer:

60 miles

Step-by-step explanation:

24 miles ÷ 2= 12

2 hours ÷ 2 =1

12 miles in 1 hour

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12 miles × 5 = 60 miles

60 miles in 5 hours