Answer Correct me if I'm wrong but I believe it is 4 dollars and 62 cents. (4.62$)
Step-by-step explanation:
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: 
Step-by-step explanation:
The slope of the line is
Using the point (-2, 0) to substitute into point-slope form, we get the equation to be 
Given the set of equations:
2x + y = 10
y = 3x
Let's solve for x and y.
Here, let's use substitution method.
Substitute 3x for y in equation 1:
2x + y = 10
2x + 3x = 10
5x = 10
Divide both sides by 5:
In equation 2, substitute 2 for x to find y.
y = 3x
y = 3(2)
y = 6
Therefore, we have:
x = 2 and y = 6
ANSWER:
x = 2, y = 6
Answer:
x = -14, 4
Step-by-step explanation:
9 = |x + 5|
~Split into 2 equations
x + 5 = -9 and x + 5 = 9
~Solve for x in both
x + 5 = -9
x = -14
x + 5 = 9
x = 4
Best of Luck!
