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earnstyle [38]
3 years ago
7

If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b​

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Answer:

(a - √b​)

Step-by-step explanation:

Roots occur as positive and negative conjugates. Therefore, the conjugate of (a + √b) is (a - √b)

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19.2*10^8

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6 0
3 years ago
Hint: You won't flip the sign in every problem. ONLY FUP it when you or by a 9 - 2x &lt; 6x - 15 Solutions You solve and graph t
svetoff [14.1K]

You only flip the inequality sign when you multiply or divide both sides by a negative number.

================================================

Problem 1

3 - 8x \ge -29\\\\-8x \ge -29-3\\\\-8x \ge -32\\\\x \le \frac{-32}{-8} \ \text{ inequality sign flip}\\\\x \le 4

The inequality sign flip happens because we divided both sides by -8.

The graph will have a closed circle at 4 with shading to the left.

Three solutions are x = 0, x = 1, x = 2. You can pick any three numbers you want as long as they are 4 or smaller.

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Problem 2

1x+2x-7 < 6\\\\3x-7 < 6\\\\3x < 6+7\\\\3x < 13\\\\x < \frac{13}{3}\\\\x < 4 \frac{1}{3}

The graph will have an open circle at 13/3 = 4&1/3 = 4.333 approx. The shading is to the left. No inequality sign flip happens because we divided both sides by a positive number.

Your choice of three solutions is correct. You can pick anything smaller than 4.3333

================================================

Problem 3

9-2x \le 6x-15\\\\-2x-6x \le -15-9\\\\-8x \le -24\\\\x \ge \frac{-24}{-8} \ \text{ inequality sign flip}\\\\x \ge 3

The solution set is any value 3 or larger. Three solutions are x = 5, x = 6 and x = 7.

The graph has a closed circle at 3 on the number line. The shading is to the right.

8 0
3 years ago
A semicircle has a center at X and diameter WZ. The radius XY of the semicircle has a length of 2. The chord YZ has a length of
siniylev [52]
, it is important to recognize that the point (x,y) in the first quadrant represents any point on the semicircle. In Figure 2, the same semicircle is shown with the inscribed rectangle drawn for three different values of x.
4 0
3 years ago
The gymnastics center where Shannon works has a rectangular pit filled with foam. The pit is 6 meters long, 5 meters across, and
saul85 [17]

Answer:

90 meters

Step-by-step explanation:

Volume = length x width x height

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3 0
3 years ago
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saul85 [17]

Answer:

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Step-by-step explanation:

Let n = number

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Divide by 5 on each side

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n = -7/5

5 0
3 years ago
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