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LenaWriter [7]
3 years ago
13

Explain the steps used to solve x - 2 = v(x + 10) and check for extraneous solutions.

Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0
---------------------------------------------------
Question
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x - 2 = √<span>(x + 10) 

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Square both sides
</span>---------------------------------------------------
(x - 2)² = (√(x + 10))²
(x - 2)² = (x + 10)   ← square and square root would will net off each other

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Remove brackets
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x² - 4x + 2² = x + 10
x² - 4x + 4 = x + 10

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minus x + 10 on both sides
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x² - 4x + 4 - x - 10 = 0
x² - 5x - 6 = 0

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Factorise the left side
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(x - 6)(x + 1) = 0

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Apply zero product property 
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x -6 = 0  or  x +1 = 0

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Solve x
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x = 6 or x = -1

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Answer: x = 6 or x = -1
---------------------------------------------------
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irakobra [83]

Answer:

1. The elephant should be given _ fl oz.

2. Every term in Pattern B is 1/4 the corresponding term in Pattern A.

3. 0.9 < 1.1

4. There are 7 tons in 14,000 pounds.

5. There are 17900 Milligrams in 17.9 grams.

Step-by-step explanation:

1. One ton is 2,000 pounds. So you would have to multiply 5.5 x 2,000.

5.5 x 2,000 = 11,000

Then you have to divide 11,000 by 250.

11,000/250 = 44

2. Every term in Pattern B is 4 times less than the term in Pattern A.

3. 0.9 is smaller than 1.1.

4. One ton is 2,000 pounds. 14,000/2,000 is 7 so this would mean that 14,000 pounds is 7 tons.

5. One gram is 1,000 milligrams, so you would have to multiply 17.9 by 1,000. This gives you 17900.

4 0
3 years ago
7/8 greater than or less than 2/4
Vaselesa [24]

Answer:

greater than

Step-by-step explanation:

7/8 is greater than 4/8

4 0
3 years ago
Please go to Lesson 11.11. Please show you're work AND show you're work in paper and take a picture and send it to me. Please he
nasty-shy [4]
Dear SailorMars, since I don't have a phone I will show my work on this chat. For 2. we can do 1x1x28=28 cm³ and 2x2x7=28cm³ which will have a square base, which is 2 possible molds. For 3. we can do 10x1x36=360in³, 10x2x18=360in³, 10x3x12=360in³, 10x4x9=360in³, and 10x6x6=360in³ which will have a dimension of 10 in, which is 5 possible molds.
For 4. multiply 12x8x4=384in³ and multiply 20x15x9=to get 2700in³. With the two measurements, subtract 2700-384=2316in³ of space in the box.
For 5. multiply the equations 5x2x1, 5x2x2, 5x2x3, 5x2x4, and 5x2x5 to get the volumes in order 10ft³, 20ft³, 30ft³, 40ft³, and 50ft³.
For 6. multiply the equations 3x6, 3x7, 3x8, 3x9, 3x10, 3x11, and 3x12 to get the inches in order 18 in, 21 in, 24 in, 27 in, 30 in, 33 in, 36 in.
For 1. multiply 6x8x10 to get 480 in³; the answer is C
For 2. multiply 12x8=96 and divide 576/96 to get 6 in; the answer is A
For 3. 7:50+ :28= 8:18 PM then 8:18+2:  =10:18 PM; the answer is D
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3 0
3 years ago
What is the solution to the inequality lx-4l&lt; 3? –7 &lt; x &lt; –1 1 &lt; x &lt; 7 x &lt; –7 or x &lt; –1 x &gt; 1 or x &lt;
lidiya [134]

1

So, Option B is correct.

Step-by-step explanation:

We need to solve the inequality: |x-4|< 3

Solving:

|x-4|< 3

The absolute rule says that if |u|<a and a>0, then -a<u<a

So, applying absolute rule:

|x-4|< 3\\-3

We can write it as:

x-4>-3\,\,and\,\,x-4-3+4\,\,and\,\,x1\,\,and\,\,x

Combining the intervals:

1

So, Option B is correct.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/6703816
  • brainly.com/question/11788572
  • brainly.com/question/4192226

#learnwithBrainly

5 0
3 years ago
Read 2 more answers
Find the constant of variation for the relationship shown in the following table:
EastWind [94]

In order to get the constant of variation, you can either make a linear equation that relates x and y in which the slope is the constant of variation

LINEARIZING

x = 3y

the slope of the equation is 3 and therefore the constant of variation is 3

 

<span> </span>

5 0
3 years ago
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