Answer:
6 dollars and 67 cents
Step-by-step explanation:
Factored Form:
x^2 - 4x - 5
Simplifying:
x^2 + - 4x + - 5 = 0
Reorder the terms:
- 5 + - 4x + x^2 = 0
Solving for variable " x":
Subproblem 1:
Set the factor ( - 1 + - 1x) equal to Zero and attempt to solve.
Simplifying:
- 1 + - 1x = 0
Solving:
- 1 + - 1x = 0
Move all terms containing x to the left, all other terms to the right
Add 1 to each side of equation:
- 1 + 1 + - 1x = 0 + 1
Combine Like Terms: 0 + 1 = 1
x = - 1
Divide each side by - 1
x = - 1
Simplifying: x = - 1
Subproblem 2: Set the factor (5 + - 1x) equal to Zero attempt to solve
Simplifying:
5 + - 1x = 0
Move all terms containing x to the left, all other terms to the right
Add - 5 to each side of the equation
5 + - 5 + - 1x = 0 + 5
Combine Like terms: 5 + - 5 = 0
0 + - 1x = 0 + - 5
- 1x = 0 + - 5
Combine Like Terms: 0 + - 5 = - 5
- 1x = - 5
Divide each side by - 1
x = 5
Simplifying:
x = 5
Solution:
x = { - 1, 5}
Answer when factored:
(x + 1)(x - 5)
hope that helps!!!
Answer:
I believe it's D.
Lmk if I was right, cause I'm 98% sure on this
Answer:
take lowest common factor
Step-by-step explanation:
If points f and g are symmetric with respect to the line y=x, then the line connecting f and g is perpendicular to y=x, and f and g are equidistant from y=x.
This problem could be solved graphically by graphing y=x and (8,-1). With a ruler, measure the perpendicular distance from y=x of (8,-1), and then plot point g that distance from y=x in the opposite direction. Read the coordinates of point g from the graph.
Alternatively, calculate the distance from y=x of (8,-1). As before, this distance is perpendicular to y=x and is measured along the line y= -x + b, where b is the vertical intercept of this line. What is b? y = -x + b must be satisfied by (8,-1): -1 = -8 + b, or b = 7. Then the line thru (8,-1) perpendicular to y=x is y = -x + 7. Where does this line intersect y = x?
y = x = y = -x + 7, or 2x = 7, or x = 3.5. Since y=x, the point of intersection of y=x and y= -x + 7 is (3.5, 3.5).
Use the distance formula to determine the distance between (3.5, 3.5) and (8, -1). This produces the answer to this question.
