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mrs_skeptik [129]
1 year ago
7

Please help me name the inequality that is shown on the number line.

Mathematics
1 answer:
Wewaii [24]1 year ago
5 0

Since the starting point of the arrow is black, that means the sign of inequality should be

\leq\text{ or }\ge

Since the arrow is pointed to the right (+ve part of the number line), then

The sign of inequality is

\ge

Since the starting point of the arrow is in the middle between -1 and 0, then

It is at -0.5, then

The inequality should be

x\ge-0.5

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Solve the quadratic function by completing the square. What are the missing pieces in the steps?
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Answer:

x = -2; or x = -8

Step-by-step explanation:

Solve the quadratic function by completing the square. What are the missing pieces in the steps? -32=2(x^2+10)

-32+___=2(x2+10x+25)

18=2(x+5)^2

9=(x+5)^2

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Solution:

From the first line:

-32+___=2(x2+10x+25)

Also, in the second line:

18=2(x+5)^2

Let the missing piece on line 2 be a, hence:

x² + 10x + 25 = (x + 5)² and -32 + a = 18

a = 18 + 32 = 50

-32 + 50 =2(x²+10x+25)

18 = 2(x+5)²

Dividing through by 2:

18 / 2= [2(x+5)² / 2]

9 = (x + 5)²

Taking square root of both sides:

√9 = √(x + 5)²

± 3 = x+5

Simplifying the equation to get:

3 = x + 5; -3 = x + 5

x = 3 - 5; or x = -3 - 5

x = -2; or x = -8

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