Hey there!
The solution to your question is
We simply plug the "r" value into the equation and solve:
29 + (5/6)(-1/2)
29 + -5/12
28 7/12
Hope it helps! Have an amazing day, and remember, You've got this!
Hey there!!
Let's take the length of the bigger piece as x inches
Then, the length of the smaller piece would be x - 8 inches
The sum of these lengths would be 54 inches
... x + x - 8 = 54
... 2x - 8 = 54
... Add 8 on both sides
... 2x = 62
... Divide 2 on both sides
... x = 31
Hence, the length of the bigger piece = 31 inches
The length of the smaller piece would be = 31 - 8 = 23 inches
Hope my answer helps!!
Answer:
Step-by-step explanation:
Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discharging hot water into the river is given by
T(x) = 160-0.05x^2
a. [0, 10]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
The average temperature
= (160 + 155)/2 = 157.5
b. [10, 40]
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (80 + 155)/2 = 117.5
c. [0, 40]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (160 + 80)/2 = 120
Answer:
Sometimes
Step-by-step explanation:
When x is a nonzero integer, then x can be
If x is negative, then 
is positive (multiplying negative number by -3 you get positive number).
If x is positive, then is negative (multiplying positive number by -3 you get negative number).
So, the statement "When x is a nonzero integer, the quantity -3x will be negative" is sometimes true.
