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shutvik [7]
3 years ago
8

Graph f(x) =x and g(x) =-1/3x+2

Mathematics
1 answer:
Serjik [45]3 years ago
3 0
Hello! I'll write the instructions to graph these functions.

f(x)=x
Technically, this function is y=x, so the slope would be 1. To graph this one, start at the origin (0,0) and move up one unit, and to the right one unit since this is a positive slope.

g(x)= -1/3x+2
First, plot a point at y=2 when x=0. 2 is your y-intercept. Your slope is negative, so the line will be decreasing. From your first point, head down 1 unit and to the right 3 units. Continue plotting points from the previous points.

Also, if you have a graphing calculator, here are the steps to graphing the functions: ON, Y= (enter your functions), and press GRAPH or 2nd, TABLE to see individual points. Hope this helps! :)
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How long will it take to earn $1800 in interest if $6000 is invested at a 6% annual interest rate? how many years
Simora [160]

Answer:

Total interest will $1800 after 5 years.

Step-by-step explanation:

It is given that the principle amount is $6000.

Rate of interest rate is 6% per annum.

Total interest is $1800.

Formula for simple interest is

I=\frac{P\times r\times t}{100}

Where, P is principle, r is rate of interest in percent and t is time in years.

Substitute P=6000, r=6 and I=1800 in the above formula.

1800=\frac{6000\times 6\times t}{100}

1800=\frac{36000t}{100}

1800=360t

Divide both sides by 360.

\frac{1800}{360}=t

5=t

Therefore the total interest will $1800 after 5 years.

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3 years ago
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The scale factor that Thea uses to go from Rectangle Q to Rectangle R is equal to 6.

<h3>What is the scale factor from rectangle Q to rectangle R?</h3>

In geometry, the scale factor is a ratio of the resulting length to the initial length. Since the area of the square is equal to the square of its side length, then the scale factor is equal to:

k² = A' / A

k = √(A' / A)

Where:

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If we know that A = 2 and A' = 72, then the scale factor is:

k = √(72 / 2)

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9514 1404 393

Answer:

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Step-by-step explanation:

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Here, the time t is in hours, so the "unit rate" will be <something> per hour. The answer choices suggest that the <something> is "miles". That is, the units of the equation are ...

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