Answer:
(x, y) = (-0.6, 0.8) or (1, 4)
Step-by-step explanation:
Use the second equation to substitute for y in the first.
(x -1)² +((2x +2) -2)² = 4
x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses
5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms
Now we can rearrange the middle term to ease factoring by grouping.
(5x² -5x) +(3x -3) = 0
5x(x -1) +3(x -1) = 0
(5x +3)(x -1) = 0
The values of x that make these factors zero are ...
x = -3/5, x = 1
The corresponding values of y are ...
y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5
y = 2(1) +2 = 4 . . . . . . . . for x = 1
The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).
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A graphing calculator verifies these solutions.
2 × 2 × 3 × 7 = 84
2, 3, 7
Answer:
Step-by-step explanation:
23. 1/x^7
24.-1/a^2
26. x^12
27. x^3y^15
29. 1/(4c^2d^6)
30. x^6y^3
Answer:
Step-by-step explanation:
To be linear, it has to be increasing or decreasing by the same value each time
Not a
Not B
Its C!
Not D
For this case we have the following function:
f (c) = (9/5) c + 32
Substituting the value of c = 20 we have:
f (20) = (9/5) (20) + 32
Rewriting we have:
f (20) = (9) (4) + 32
f (20) = 36 + 32
f (20) = 68
Answer:
The conversion for this case is given by:
f (20) = 68
option A