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maks197457 [2]
3 years ago
8

A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance f

rom the finish line after x minutes.
f(x) = 1 over 4x + 4
f(x) = − 1 over 10x + 4
f(x) = 1 over 10x + 10
f(x) = − 1 over 4x + 10
Mathematics
2 answers:
sergejj [24]3 years ago
7 0
The answer is f(x)= - 1/4*x +10
bogdanovich [222]3 years ago
7 0

Answer:

f(x)= -\frac{1}{4} x+10

Step-by-step explanation:dd

A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes.

LEt x be the number of minutes and f(x) be the distance traveled

Initial distance is 10 kilometer

Constant speed is \frac{1}{4}

Distance covered on running is \frac{1}{4}x

To find distance from finish line , we subtract the distance covered from initial kilometers

f(x)= -\frac{1}{4} x+10

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Find the equation of the line
Gre4nikov [31]

Answer:

y= - 1/6x -1

Step-by-step explanation:

Given:

  • y= 6x -2
  • and point (6, -2)

Perpendicular line has slope of reciprocal opposite to the given: - 1/6, so the equation:

  • y= -1/6x + b

Finding b using the intersected point:

  • -2= -1/6*6 +b
  • b= -2 +1= -1

So the equation is:

  • y= - 1/6x -1
5 0
4 years ago
Solve and show your work.<br><br> 1. 3(2x + 3) - 4x = -3<br><br> 2. 26 = 3x - 2 - 7x
yKpoI14uk [10]

Answer:

1. x=-6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(2x+3)−4x=−3

(3)(2x)+(3)(3)+−4x=−3(Distribute)

6x+9+−4x=−3

(6x+−4x)+(9)=−3(Combine Like Terms)

2x+9=−3

2x+9=−3

Step 2: Subtract 9 from both sides.

2x+9−9=−3−9

2x=−12

Step 3: Divide both sides by 2.

x=-6

3 0
3 years ago
Nicole sold 1 cherry pie and 9 pumpkin pies for $60. Lisa sold 11 cheery pies and 4 pumpkin pies for $90. what's the cost each o
bogdanovich [222]
Cherry pie  is $ C.
Pumpkin pie is $ P.

C +   9P =60 -------> C=60 - 9P
11C+4P = 90  

11(60 - 9P) +4P=90
660 - 99P + 4P = 90
-95P = -570
P =570/95 = 6
P=6
C=60-9*P=60 - 9*6= 60-54=6
C=6

Answer: 1 cherry pie -$6, 1 pumpkin pie - $6.

Check:
11C+4P = 90  , 11*6 +4*6 =90, 66+24=90, 90=90 True


8 0
3 years ago
5/4 divided by 3/5 help
34kurt

Answer:

2.08333333333

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
42/9 in mixed fraction
Anna007 [38]
The answer is 4 2/3 :)
3 0
3 years ago
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