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Maru [420]
3 years ago
14

Solve. −4/3x + 1/6 < 7/9 PLEASE ANSWER IN THE NEXT HOUR!AND CHECK YOUR WORK AS WELL!

Mathematics
2 answers:
Anna35 [415]3 years ago
5 0
-4/3x + 1/6 < 7/9

-4/3x < 7/9 - 1/6           7/9 - 1/6 = 42/54 - 9/54 = 33/54 = 11/18

-4/3x < 11/18

-x < 11/18 ÷ 4/3            11/18 ÷ 4/3 = 11/24

-x < 11/24

x > -11/24
Alisiya [41]3 years ago
5 0
(-4/3) x + (1/6) < (7/9)
subtract (1/6) from both sides
(-4/3) x < (7/9) - (1/6)
(-4/3) x < (14/18) - (3/18)
(-4/3) x < (11/18)
Multiply both sides by (-3/4) (the reciprocal of (-4/3)
(-3/4)(-4/3) x > (11/18)(-3/4) Dividing by - you have to switch the inequality sign to the other direction.
x > (-33/72);  x > -11/24
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Answer:

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Step-by-step explanation:

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3 years ago
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Sphinxa [80]

Answer:

Reference angle: \frac{\pi}{2}

tan(\theta)=tan(\frac{3\pi}{2}) is not defined.

Step-by-step explanation:

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Therefore the reference angle can be calculated as following:

\frac{3\pi}{2}-\pi=\frac{\pi}{2}

 We know that tan(\theta)is:

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

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8 0
3 years ago
Solve for w: -5(3-w)+4=-5/6(24-6w)
AfilCa [17]

Answer:

no solution

Step-by-step explanation:

well first you gotta distribute

-5(-3 - w) + 4 = -5/6(24 - 6w)

15 + 5w + 4 = -20 + 5w

19 + 5w = -20 + 5w

+20           +20

39 + 5w = 5w

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39 ≠ 0

therefore there is no solution (which is the answer)

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y=3x+5

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multiply by the denominator on both sides of the equation

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multiply x and -6 by 3

add 23 to both sides to isolate y

hope this helps!

4 0
3 years ago
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