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katrin2010 [14]
3 years ago
9

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. a. f(x) = - 4x + 60. b. f(x) = 4x + 60. c. f(x) = - 4x + 80. d. f(x) = 4x + 80
Mathematics
1 answer:
Minchanka [31]3 years ago
7 0
The correct answer is c) f(x) = -4x+80.

We first find the rate of change, or slope, between points.  The two points we are given are
(5, 60) and (10, 40)

We find the slope using the formula
m = (y₂ - y₁)/(x₂ - x₁) = (40-60)/(10-5) = -20/5 = -4

Now we put this in point-slope form, which is
y-y₁ = m(x-x₁)
y-60 = -4(x-5)

Using the distributive property,
y-60 = -4*x --4*5
y-60 = -4x+20

Add 60 to both sides:
y-60+60 = -4x+20+60
y = -4x+80
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3 years ago
What is the simplified value of the expression below?
slavikrds [6]

Answer:

I dont know the experssion but I will give you steps to figure it out!

Step-by-step explanation:

Before you evaluate an algebraic expression, you need to simplify it. This will make all your calculations much easier. Here are the basic steps to follow to simplify an algebraic expression:

remove parentheses by multiplying factors

use exponent rules to remove parentheses in terms with exponents

combine like terms by adding coefficients

combine the constants

When simplifying an expression, the first thing to look for is whether you can clear any parentheses. Often, you can use the distributive property to clear parentheses, by multiplying the factors times the terms inside the parentheses. In this expression, we can use the distributive property to get rid of the first two sets of parentheses.

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8 0
3 years ago
The difference of a positive number and a negative number is always
Tcecarenko [31]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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luda_lava [24]

Answer:

x = -1.5

Step-by-step explanation:

(0.5x+1.2)–(3.6–4.5x)=(4.8–0.3x)+(10.5x+0.6)

*I would first change any  minus signs that are outside of the parenthesis to a plus sign. This is optional, not necessary. *

0.5x + 1.2 + (-3.6) + 4.5x = 4.8–0.3x + 10.5x + 0.6

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x = -1.5

6 0
3 years ago
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