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3 years ago

20 POINTS FOR RIGHT ANSWER!!!

Mathematics

1 answer:

dangina [55]3 years ago

6 0

Answer:

a=10 and b= -12

Step-by-step explanation:

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Which value of m will create a system of parallel lines with no solution?

Pepsi [2]

Rearranging y = 8x -4y = 12 in the y = mx + b form gives y = 2x - 3

y = 2x - 3

y = mx - 6 (already in y = mx + b form)

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Parallel lines have the same slope.

m = 2

Note that the two lines have the different y-intercepts and are not the same line.

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3 years ago

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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 $C=18w+30$

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3 years ago

Find the area of the circle. Round your answer to the nearest hundredth 3in

FrozenT [24]

Answer:

28.26 square inches

Step-by-step explanation:

Formula for area of a circle:

$A=\pi r^2$

Radius is 3.

$A= \pi (3)^2\\A=\pi 9$

Use 3.14 for pi:

$A = 3.14 * 9 = 28.26\\A=28.26$

The area should be 28.26 square inches.

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3 years ago

Write a formula that describes the value of an initial investment of $1200, growing at an interest rate of 4%, compounded monthl

Flauer [41]

Answer:

f(x)=1200(1.04)^n

Step-by-step explanation:

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3 years ago

Explain the steps in calculating the mean absolute<br>deviation of a set of data.

Sergeeva-Olga [200]

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. ... Divide the sum of the absolute values of the differences by the number of data values.

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3 years ago

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