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snow_lady [41]
3 years ago
13

Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)

Mathematics
1 answer:
inessss [21]3 years ago
6 0

Answer:

The Function rule for line is: \mathbf{y=-\frac{13}{5}x}

Option A is correct option.

Step-by-step explanation:

Find a function rule for the line that passes through the origin (0,0) and the point (5, - 13)

The function rule is of form: \mathbf{y=mx+b}

where m is slope and b is y-intercept

Finding slope:

The formula used to find slope is: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=0, y_1=0, x_2=5, y_2=-13

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-13-0}{5-0}\\Slope=\frac{-13}{5}\\Slope=-\frac{13}{5}

Finding y-intercept

We will use point(0,0) to find y-intercept

y=mx+b\\0=-\frac{13}{5}(0)+b\\0=0+b\\b=0

So, y-intercept is 0

The Function rule for line having slope m=-13/5 and y-intercept b=0:

y=mx+b\\y=-\frac{13}{5}x+0\\y=-\frac{13}{5}x

So, The Function rule for line is: \mathbf{y=-\frac{13}{5}x}

Option A is correct option.

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PUT THESE NUMBERS IN ORDER GREATEST TO LEAST ✔✔ I WILL ADD BRAINLIST
Fiesta28 [93]

Answer:

2 12/16, 2 18/25, and lastly 2.

Step-by-step explanation:

Since 2 is least, we can put that at the end. That leaves us with 2 18/25 and 2 12/16. Since 12/16 is greater, we will put that as the greatest. 2 18/25 is in the middle. Hope this helps!

6 0
3 years ago
Carmen received a gift of $5,000 from her grandmother and decided to invest it. the expression 5000(1.0005)^12t represents the a
Natalija [7]

The equivalent expression for the expression that represents the amount Carmen would earn is 5000(1.0005^12)^t.

<h3>What is the equivalent expression?</h3>

Based on the expression given, Carmen's investment is compounded monthly.

The formula for calculating future value:

FV = P (1 + r)^nm

  • FV = Future value
  • P = Present value
  • R = interest rate
  • m = number of compounding
  • N = number of years

5000(1.0005)^12t

= 5000(1.0005^12)^t

50002.5^12t

Please find attached the complete question.To learn more about future value, please check: brainly.com/question/18760477

7 0
2 years ago
The second hand of a clock makes a full revolution once every minute. What is its angle of rotation after 20 seconds? After 45 s
nikklg [1K]
360/60 = 6

6 degrees every second

6*20 = 120 degrees


120 degrees after 20 seconds


6 * 45 = 270

270 degrees after 45 seconds


Hope I helped!

Let me know if you need anything else!

~ Zoe
7 0
3 years ago
Answers plz<br> i don’t get it
masha68 [24]
The third option has the highest value
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What is the value of x?<br> (3x)<br> (x + 40)<br><br> 20<br> 35<br> 60<br> 70
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Good luck !
5 0
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