Step-by-step explanation:
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Answer:
B. 0.78
Step-by-step explanation:
0.78 would be closest to the nearest hundredth, depending on where the decimal is depends on how many numbers that come after the decimal.
Therefore 0.078 would be to the nearest thousandths and 7.8 would be to the nearest tenths.
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.
Answer:
abc = - 126
Step-by-step explanation:
(2x + 3)(3x - 1) ← expand product using FOIL
= 6x² + 7x - 3 ← in standard form
with a = 6, b = 7, c = - 3
Then
abc = 6 × 7 × (- 3) = - 126
Answer:
x = -1
Step-by-step explanation:
y = 6x - 14 y= -8x
6x-14 = -8x
- 6x
-14 = 14x
x = -1