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Sophie [7]
3 years ago
7

Solve and graph the absolute value inequality: |2x + 4| > 14. number line with open circles on negative 9 and 5, shading goin

g in the opposite directions. number line with open circles on negative 9 and 5, shading in between. number line with closed circles on negative 9 and 5, shading going in the opposite directions. a number line with open circles on negative 5 and 5, shading going in the opposite directions.
Mathematics
1 answer:
Rudiy273 years ago
6 0
<span>|2x + 4| > 14

⇒ 2x + 4 > 14 or 2x + 4 < -14

⇒ 2x > 14 - 4 or 2x < -14 - 4

⇒ 2x > 10 or 2x < -18

⇒ x > 5 or x < -9

The graph will be a </span><span>number line with open circles on negative 9 and 5, shading going in the opposite directions.</span>
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The China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. If the list price is $
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Answer: See explanation

Step-by-step explanation:

Since the complement is the difference between 100% and discount rate. Since the China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. Therefore, the discount rate will be 80% and the complement 20%.

Therefore, the trade discount will be:

= List price × Trade discount rate

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3 years ago
Given triangle ABC is similar to triangle DEF, angle A measures 30 degrees, and angle F measures 50 degrees, what is the measure
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Answer:

100 degrees

Step-by-step explanation:

Since triangle ABC is similar to triangle DEF, their angles are basically the same.

All angles of a triangle have to add up to 180.

We are already given two angles: 30 and 50

Add them together: 30 + 50 = 80

Now we subtract the number from 180

180 - 80 = 100

The remaining angle has to be 100 degrees

6 0
2 years ago
Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the explicit rule for this sequence in simpli
MA_775_DIABLO [31]

The required recursive function will  be expressed as an = 3000 + 500n

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3 years ago
Find the height of the triangle. A=2c^3+16, b=c+2
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4 years ago
Evaluate the equation 4K-10/k=8
solong [7]

Answer:

k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)

Step-by-step explanation:

Solve for k over the real numbers:

4 k - 10/k = 8

Bring 4 k - 10/k together using the common denominator k:

(2 (2 k^2 - 5))/k = 8

Multiply both sides by k:

2 (2 k^2 - 5) = 8 k

Expand out terms of the left hand side:

4 k^2 - 10 = 8 k

Subtract 8 k from both sides:

4 k^2 - 8 k - 10 = 0

Divide both sides by 4:

k^2 - 2 k - 5/2 = 0

Add 5/2 to both sides:

k^2 - 2 k = 5/2

Add 1 to both sides:

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Write the left hand side as a square:

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Take the square root of both sides:

k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)

Add 1 to both sides:

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Add 1 to both sides:

Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)

4 0
3 years ago
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