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Pie
3 years ago
8

1Ꮾx - 8 = 1Ꮞx +14 Solve for X

Mathematics
1 answer:
maxonik [38]3 years ago
6 0

Answer:

x=11

Step-by-step explanation:

16x - 8 = 14x + 14

16x - 14x - 8 = 14x - 14x + 14

2x - 8 = 14

2x - 8 + 8 = 14 + 8

2x = 22

2x/2 = 22/2

x=11

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On the first part of her trip Natalie rode her bike 16 miles and on the second part of the trip she rode her bike 42 miles. Her
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Answer:

14 mph   ( average speed during the second part of the trip )

Step-by-step explanation:

Let´s call  "x"  the average speed during the first part then

t = 5 hours

t  =  t₁  +  t₂        t₁   and  t₂   times during part 1 and 2 respectively

l = t*v           (  distance is speed by time )      t =  l/v

First part

t₁  = 16/x        and      t₂  = 42 / ( x + 6)

Then

t =   5   =  16/x   +   42 /(x + 6)

5 = [ 16 * ( x  +  6 ) +  42 * x ] / x* ( x + 6 )

5 *x * ( x + 6 )  =  16*x  + 96 +  42 x

5*x² + 30*x  - 58*x - 96  =  0

5*x²  -  28*x  -  96  =  0

We obtained a second degree equation, we will solve for x and dismiss any negative root since negative time has not sense

x₁,₂  =   [28 ± √ (28)² + 1920  ] / 10

x₁,₂  = ( 28  ± √2704 )/ 10

x₁  = 28  -  52 /10        we dismiss that root

x₂  = 80/10

x₂  =  8 mph       average speed during the first part, and the average speed in the second part was 6 more miles than in the firsst part. then the average spedd dring the scond part was 8 + 6 = 14 mph

6 0
3 years ago
When did the nfl start
Radda [10]
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4 0
3 years ago
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Answer:

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f(x) = 1

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y = 1

3 0
3 years ago
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7 0
3 years ago
What is the expanded form for 45 squared?
Orlov [11]

Answer:

C) 45 x 45

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Step-by-step explanation:

45 squared means 45² i.e 45×45

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6 0
3 years ago
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