Answer:
Step-by-step explanation: poop
Answer:
(x-3) (x+5) => x*x+5x-3x-15
=> x*x+2x-15
Step-by-step explanation:
Answer:
|x - 5| = 2
Step-by-step explanation:
Since we are not given a zero on the number line, we do the following:
Average = midpoint between two numbers on the number line
For this number line,
Average = 3 + 7 ÷ 2
Average = 5
Next we find how many units away are each number from the middle:
3 is 2 units away from 5
7 is 2 units away from 5
Units away = 2
Let's use the formula:
|x - average| = Units away
Substitute values into equation
|x - 5| = 2
Now we solve
Solve for x over the integers:
|x - 5| = 2
Split the equation into two possible equations:
x - 5 = 2 or x - 5 = -2
Add 5 to both sides:
x = -5 + 5 = 2 + 5 or x - 5 + 5 = -2 + 5
Answer:
x = 7 or x = 3
LOOK AT THE GRAPH AND NUMBER LINE
Answer:
15 miles
Step-by-step explanation:
Let
be the miles in the circular park path,
the time Louisa takes to finish and
the time Calvin takes to finish both in hours.
Then
, the longitude is equal to the velocity times the time used to finish. So
![x=5t_{L}](https://tex.z-dn.net/?f=x%3D5t_%7BL%7D)
![x=6t_{C}](https://tex.z-dn.net/?f=x%3D6t_%7BC%7D)
And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:
![t_{C}=t_{L}-0.5](https://tex.z-dn.net/?f=t_%7BC%7D%3Dt_%7BL%7D-0.5)
Three equations, three unknowns, the system can be solved.
Equalizing the equation with x :
![5t_{L}=6t_{C}](https://tex.z-dn.net/?f=5t_%7BL%7D%3D6t_%7BC%7D)
In this last equation replace
with the other equation and solve:
With Louisa's time find x: