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kkurt [141]
3 years ago
10

Solve for x: −2x − 4 > 8 x < −6 x > −6 x < −2 x > −2

Mathematics
2 answers:
IRINA_888 [86]3 years ago
4 0

Answer:

A. x < -6 (first option)

Step-by-step explanation:

- 2x - 4 > 8

- 2x > 8 + 4

- 2x > 12

\boxed{\green{x <  - 6}}

Setler [38]3 years ago
3 0

Answer:

x < -6

Step-by-step explanation:

Solve for x:

−2x − 4 > 8

-2x > 12 * inequality symbol chances bc ur dividing by a negative*

x < -6

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Lily swims for 5 hours in stream that has a current of 1 mph. She leaves her dock, swims upstream for 2 miles and then swim back
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Answer:

Swimming speed in still water is approximately 1.5 mph

Step-by-step explanation:

Given the speed of the current = 1 mph

distance she swims upstream =2 miles,

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her speed against the current is x – 1.

Total time is equal to 2 miles with upstream and 2 miles downstream.

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Now Using quadratic formula to solve above equation we get;

x= \frac{-b \±\sqrt{b^2-4ac}} {2a}\\\\here \ \ a= 5,b=-4,c=-5\\\\x= \frac{-(-4) \±\sqrt{(-4)^2-4\times 5\times-5}} {2\times5}\\\\x=\frac{4 \±\sqrt{16+100}} {10}\\\\x=\frac{4 \±\sqrt{116}} {10}=x=\frac{4 \±2\sqrt{29}} {10}= x=\frac{2 \±\sqrt{29}} {5}\\ x \approx 1.5 \ or \ x = -0.7

Since speed must be positive, Hence speed of still water is about 1.5 miles per hour.

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