Answer:
The unit rate is 0. 14 miles per minute.
Hence, option a is correct.
Step-by-step explanation:
Given
Running of 5/4 a mile in 9 minutes.
To determine
The unit rate = ?
Given that the running 5/4 a mile in 9 minutes.
i.e.
Miles covered in 9 minutes = 5/4 or 1.25 miles
Miles covered in 1 minute = 1.25/9
= 0. 14 miles per minute
Therefore, we conclude that:
The unit rate is 0. 14 miles per minute.
Hence, option a is correct.
Hello from MrBillDoesMath!
Answer:
The fourth choice, b = +\- sqrt( sg + a^2)
Discussion:
s = (b^2 - a^2)/g => multiply both sides by "g"
sg = b^2 - a^2 => add a^2 to both sides
sg + a^2 = b^2 => take the square root of each side
b = +\- sqrt( sg + a^2)
which is the fourth choice.
Thank you,
MrB
Answer:
-1/8
Step-by-step explanation:
lim x approaches -6 (sqrt( 10-x) -4) / (x+6)
Rationalize
(sqrt( 10-x) -4) (sqrt( 10-x) +4)
------------------- * -------------------
(x+6) (sqrt( 10-x) +4)
We know ( a-b) (a+b) = a^2 -b^2
a= ( sqrt(10-x) b = 4
(10-x) -16
-------------------
(x+6) (sqrt( 10-x) +4)
-6-x
-------------------
(x+6) (sqrt( 10-x) +4)
Factor out -1 from the numerator
-1( x+6)
-------------------
(x+6) (sqrt( 10-x) +4)
Cancel x+6 from the numerator and denominator
-1
-------------------
(sqrt( 10-x) +4)
Now take the limit
lim x approaches -6 -1/ (sqrt( 10-x) +4)
-1/ (sqrt( 10- -6) +4)
-1/ (sqrt(16) +4)
-1 /( 4+4)
-1/8
it would be > because the square root of 2 is more than 1.
Answer:
You should stick with option D