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Alisiya [41]
3 years ago
13

Jim has a number (n) of CDs in his collection. Marcus has 5 less than 2 times the number of CDs Jim has. Which expression repres

ents the number of CDs Marcus has?
Mathematics
2 answers:
9966 [12]3 years ago
5 0
Use the expression the problem gave.  Let n equal the number of CDs Jim owns.  
n=# of CDs Jim owns
5 less means subtract
2 times means multiply let Marcus = number of Marcus's CDs
Marcus=5-2n
Aleks [24]3 years ago
3 0

Answer:

2n -5 is the expression which represents the number of CDs Marcus has

Step-by-step explanation:

Given the statement: Jim has a number (n) of CDs in his collection.

⇒ Jim has a number of CDs in his collection = n

Also, it is given that Marcus has 5 less than 2 times the number of CDs Jim has.

"2 times the number of CDs Jim has" means 2n

"5 less than 2 times the number of CDs Jim has" means 2n -5

then;

Marcus has the number of CDs = 2n -5

Therefore, the expression which represents the number of CDs Marcus has ; 2n -5

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zepelin [54]

Answer:

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

Step-by-step explanation:

We need to find equation from the table given

x     f(x)

3     -5

7     -2

11     1

15    4

We can write equation in the form of y=mx+b

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: Slope=\frac{y_2-y_1}{x_2-x_1}

From the table we have: x_1=3, y_1=-5, x_2=7, y_2=-2

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}

So, we get slope m=\frac{3}{4}

Now, finding y-intercept

Using the slope m=\frac{3}{4} and point (3,-5) we can find y-intercept

y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}

The y-intercept is b=\frac{-29}{4}

So, the equation having slope m=\frac{3}{4} and y-intercept b=\frac{-29}{4} will be:

y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

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Please explain how you find the slope of a graph? Please explain with photos.
gogolik [260]

☁️ Answer ☁️

Here's what I found:

Identify the coordinates (x₁,y₁)and(x₂,y₂). We will use the formula to calculate the slope of the line passing through the points (3,8) and (-2, 10).

Input the values into the formula. This gives us (10 - 8)/(-2 - 3).

Subtract the values in parentheses to get 2/(-5).

Simplify the fraction to get the slope of -2/5.

Check your result using the slope calculator.

To find the slope of a line we need two coordinates on the line. Any two coordinates will suffice. We are basically measuring the amount of change of the y-coordinate, often known as the rise, divided by the change of the x-coordinate, known the the run. The calculations in finding the slope are simple and involves nothing more than basic subtraction and division.

Here's the link:

https://www.omnicalculator.com/math/slope#:~:text=How%20to%20find%20slope%201%20Identify%20the%20coordinates,5%20Check%20your%20result%20using%20the%20slope%20calculator.

Here's a video to help you: https://m.you tube.com/watch?v=wvzBH46D6ho

(Just remove the space)

Hope it helps.

Have a nice day noona/hyung.

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3 years ago
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