Answer:
k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Step-by-step explanation:
Solve for k over the real numbers:
4 k - 10/k = 8
Bring 4 k - 10/k together using the common denominator k:
(2 (2 k^2 - 5))/k = 8
Multiply both sides by k:
2 (2 k^2 - 5) = 8 k
Expand out terms of the left hand side:
4 k^2 - 10 = 8 k
Subtract 8 k from both sides:
4 k^2 - 8 k - 10 = 0
Divide both sides by 4:
k^2 - 2 k - 5/2 = 0
Add 5/2 to both sides:
k^2 - 2 k = 5/2
Add 1 to both sides:
k^2 - 2 k + 1 = 7/2
Write the left hand side as a square:
(k - 1)^2 = 7/2
Take the square root of both sides:
k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Answer:30:36
Step-by-step explanation:
Answer:
55% drop.
Step-by-step explanation:
To find this first divide 63 by 140 to get .45. Then multiply this value by 100 to get a value of 45%. Then you know that 55% is the amount dropped.
Answer:
33. 2x18-3. 36-3=33 the answer is 33
Answer:
1. 6
2. 40
3. 5
4. 50
5. 50
6. 5
Act. 2
1. 234
2. 123
3. 122
4. 343.
5. 111
Act. 3
Marcus gave each $120.
Brandon gets paid $9 each hour.
There are 20 boxes on each shelf.
The second page I'm not sure what that means.