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zalisa [80]
3 years ago
14

Do not factor by grouping. Solve 2(x-2)^1/3=x+2

Mathematics
1 answer:
icang [17]3 years ago
5 0

Step-by-step explanation:

2(x-2)⅓=x+2

so we first cube each side,such that...

(2(x-2))⅓•³=(x+2)³

we get...

2(x-2)=(x+2)³

expanding...

2x-4=x³+6x²+12x+8

grouping....

x³+6x²+12x+8-2x+4=0

solving...

x³+6x²+10x+12=0

now you can use you calculator to solve for the possible values of x

<em>I</em><em> </em><em>hope</em><em> </em><em>this</em><em> </em><em>will</em><em> </em><em>help</em>

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Hannah and Leah are running around a circular track. Hannah takes 5 minutes to complete one lap, and Leah takes 6 minutes to com
Dima020 [189]
The answer is 30 minutes. Because 6 x 5 = 30 while 5  6 = 30 as well. Hope this helped.
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3 years ago
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Which statements are true about the graph of the system of linear inequalities? Check all that apply. y &gt; 3x – 4 y &lt; x + 1
romanna [79]

Answer:

  • The graph of y > 3x − 4 has shading above a dashed line.
  • The graph of y < x + 1 has shading below a dashed line.
  • The graphs of the inequalities will intersect.

Step-by-step explanation:

y > ... means the shading will be above the corresponding line.

y < ... means the shading will be below the corresponding line.

These lines have different slopes, so the solution spaces <em>must</em> overlap, hence <em>there must be solutions</em> to the system.

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<em>Comment on last choice</em>

It isn't clear exactly what is intended by the last offered statement. Both of the listed points are in the solution space of y > 3x-4. Neither point is in the solution space of y < x+1.

Together, the two graphs intersect the entire y-axis. Jointly, they only intersect the y-axis on the interval -4 < y < 1.

The y-intercepts of the two boundary lines are (0, 1) and (0, -4). Neither of these points is in the solution space of the system of inequalities.

3 0
3 years ago
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. Find the height of a triangle whose base is 50 cm and whose area<br> is 500 cm².
-Dominant- [34]

Answer:

height = 20 cm

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

here b = 50 and A = 500, hence

\frac{1}{2} × 50h = 500, that is

25h = 500 ( divide both sides by 25 )

h = 20 cm

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Triss [41]
The answer should be neither
4 0
3 years ago
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Can you help with this one please? I'll mark ya
sammy [17]

The correct answer is A. Its starts from 20 and If the sign does not include equal to (> or <),  the circle should be unfilled.

8 0
3 years ago
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