Answer:
1. x = +/- 2
- 7
2. x = 
+/- 
3. n = 
+/- 
Step-by-step explanation:
1. Divide both sides by 2: (x + 7)^2 = 8
Square root both sides: x + 7 = +/- 2
Subtract 7 from both sides: x = +/- 2 - 7
2. Square root both sides: x - 3 = 
Since there is a negative inside the radical, we need to have an imaginary number: 
. So, 
Add 3 to both sides: x = +/-
3. Divide by -5 from both sides: (n - 2)^2 = -2
Square root both sides: n - 2 = 
Again, we have to use i: 
Add 2 to both sides: n = +/-
Hope this helps!
Answer:
<h2>x = 2.5</h2>
Step-by-step explanation:
He ran 4 miles per hour for one hour, which means he ran 4 miles.
He cycled 6 miles at 12 miles per hour, which means he cycled for one half an hour.
His total miles was 4 + 6 = 10 total miles.
His total time was 1 hour + one half an hour = 1.5 hours.
His average speed is total distance divided by total time:
10 / 1.5 = 6 2/3 miles per hour.
Answer:
-(2y+3)×(3y+5)
Step-by-step explanation:
- 3y(2y + 3) - 5(2y + 3)
Factor out - (2y+3)
-(2y+3)×(3y+5)
For this case we have the following expression:
We must rewrite both sides of the equation.
For this, we use the distributive property.
We have then:
Adding similar terms we have:
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Thus, the equation has infinite solutions.
Answer:
infinitely many
