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Salsk061 [2.6K]
4 years ago
14

Factor these expressions: A. 4x+12 B. 8r-14 C. 5x+35

Mathematics
1 answer:
vaieri [72.5K]4 years ago
5 0
A. 4(x+3)
B. 2(4r-7)
C. 5(x+7)
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The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste and 2460 dollars for 135 kg of waste. (a)
Ulleksa [173]

Answer:

C=18w+30

Step-by-step explanation:

We are given that The monthly charge for a waste collection service is 1830 dollars for 100 kg of waste

So, (x_1,y_1)=(100,1830)

We are also given that The monthly charge for a waste collection service is 2460 dollars for 135 kg of waste.

So, (x_2,y_2)=(135,2460)

We are supposed to find a linear model for the cost, C, of waste collection as a function of the number of kilograms, w.

So, we will use two point slope form :

Formula : y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

Substitute the values

y-1830=\frac{2460-1830}{135-100}(x-100)

y-1830=18(x-100)

y-1830=18x-1800

y=18x-1800+1830

y=18x+30

y denotes the cost

x denotes the weight

So, Replace y with C and x with w

C=18w+30

So, a linear model for the cost, C, of waste collection as a function of the number of kilograms, w is C=18w+30

7 0
3 years ago
HURRY PLZ!
timama [110]

Answer:

D

Step-by-step explanation:

f^{-1}(x) means the inverse. The inverse is the function reflected over the y=x line. This means the values have been reversed. (x,y)-->(y,x). We are looking for a point that has reversed values from the table.

The table has (1.-5) so the inverse is (-5,1) or D.

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First convert 1.2mm to cm

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Then divide 1.44cm by 0.12cm
that equals to 12.

so you need 12 sheets to make it 1.44cm
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A class has 6 girls and 15 boys. Write the ratio of girls and boys as a fraction in simplest form
Lynna [10]
The answer is 2/5, which is 2 over 5
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