Left Side
if x = a number
five times a number means 5 · a number = 5 · x
add a negative sign; -5·x
simplify; you don't need the multiplication symbol; -5x
minus 2·x = -2x
plus 3 = +3
-5n-2x+3
Sign
less than or equal to = ≤
Right Side
triple of x = 3·x = 3x
4 minus triple of x = 4-3x
4-3x
The final inequality is -5x-2x+3 ≤ 4-3x
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The third option
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Answer:
x = ±√2
Step-by-step explanation:
x - 1 = 1/(x + 1)
(x -1)(x + 1) = 1 Multiplied each side by x + 1
x² - 1 = 1 Difference of two squares
x² = 2 Add 1 to each side
x = ±√2
x-1 is the reciprocal of x+1 when x = -√2 or x = √2.
Check:
(a) x = -√2
-√2 - 1 = 1/(-√2 + 1)
-(√2 + 1) = (√2 +1)/[(-√2 +1)(√2 + 1)]
-(√2 + 1) = (√2 +1)/(-2 +1)
-(√2 + 1) = (√2 +1)/(-1)
-(√2 + 1) = -(√2 +1)
(b) x = √2
√2 - 1 = 1/(√2 + 1
√2 - 1 = (√2 - 1)/[(√2 + 1)(√2 - 1)
]
√2 - 1 = (√2 - 1)/(2 - 1)
√2 - 1 = (√2 - 1)/1
√2 - 1 = √2 - 1
OK.
Answer:
Step-by-step explanation:
y = 4.8x + C
53.8 = 4.8(4) + C
53.8 = 19.2 + C
C = 34.6
Answer:
8x + 3
Step-by-step explanation:
Given
2(5x - 1) - (2x - 5)
Distribute first parenthesis by 2 and second by - 1
= 10x - 2 - 2x + 5 ← collect like terms
= 8x + 3