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masya89 [10]
3 years ago
7

What is the solution?

Mathematics
2 answers:
wariber [46]3 years ago
5 0
Whats the attachment
ivann1987 [24]3 years ago
5 0
If you solve by graphing just remember that the slope of the lines are the x values and the y-intercept is the constant value. 

But I will also solve by substitution:

Set one equation equal to the other:

x - 1 = 1/2 x + 1

Add one to both sides of the equation:

x = 1/2 x + 2

Subtract 1/2 x from both sides of the equation:

1/2 x = 2 

Multiply both sides of the equation by two:
x = 4. 
Plug this value of x into the first equation:
y = 4 - 1 
Solve for y:
y= 3 
Check the solution by plugging the values of x and y into either equation:
3 = 1/2(4) + 1
3= 2 + 1 
3 = 3

Hope this helps and let me know if you have more questions!

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Jim is trying to improve his speed on the track so he can qualify for the State Championships. As he is running, he goes from 70
kumpel [21]

Answer:

His acceleration is \frac{1}{15} meters per seconds²

Step-by-step explanation:

Acceleration is the rate of change of the speed

The formula of acceleration is a=\frac{v_{f}-v_{i}}{t} , where

  • v_{f} is the final speed
  • v_{i} is the initial speed
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∵ Jim goes from 70 meters/minute (beginning speed) to

   106 meters/minute (final speed) in 9 seconds

∴ His initial speed v_{i} = 70 meters/minute

- Change it the meter per second

∵ 1 minute = 60 seconds

∴ \frac{70}{(1)(60)}=\frac{70}{60}=\frac{7}{6}  meters/second

∴ v_{i} = \frac{7}{6}  meters/second

∵ His final speed v_{f} = 106 meters/minute

- Change it the meter per second

∴ \frac{106}{(1)(60)}=\frac{106}{60}=\frac{53}{30}  meters/second

∴ v_{f} = \frac{53}{30}  meters/second

∵ The time of the change of his speed is 9 seconds

∴ t = 9

∵ The formula of acceleration is a=\frac{v_{f}-v_{i}}{t}

- Substitute the values of t, v_{i}  and v_{f} in the formula above

∴  a=\frac{\frac{53}{30}-\frac{7}{6}}{9}=\frac{1}{15}

∴ His acceleration is \frac{1}{15} meters per seconds²

3 0
3 years ago
What is the x-coordinate of the vertex of the parabola whose equation is y = 3x^2 + 12x + 5?
ahrayia [7]
Well it will be a simple as grid algebra 
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neonofarm [45]

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Step-by-step explanation:

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Since in the given data set as we can see that the 100 would be appeared 6 times

So this represent that the mode is 100

So here the mode would be the good measure

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elena-s [515]
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