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2 years ago

Solve the inequality l 3x + 6l < 12

Mathematics

1 answer:

aleksandrvk [35]2 years ago

6 0

In this question , we have to solve the given inequality question.

When removing the absolute sign , we will get a compound inequality which is

-12<3x+6<12

Now whatever we do in the middle, we have to do to both sides.

First we get rid of 6, and for that, we subtract 6

-12-6<3x+6-6<12-6

-18<3x<6

Now we need to get rid of 3, and for that we divide whole inequality by 3, that is

-6<x<2

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Given the trinomial 2x*2 + 4x + 4, predict the type of solutions. a. Two rational solutions b. One rational solution c. Two irra

OverLord2011 [107]

Answer:

d. Two complex solutions

Step-by-step explanation:

We have been given a trinomial $2x^2+4x+4$ and we are supposed to predict the type of solutions of our given trinomial.

We will use discriminant formula to solve for our given problem.

$\text{Discriminant}=b^2-4ac$ , where,

$a =\text{Coefficient of }x^2$ ,

$b =\text{Coefficient of }x$ ,

$c =\text{Constant }$

Conclusion from the result of Discriminant are:

$D$

$D=0\text{ means one real zero with of multiplicity two}$

$D>0\text{ means two distinct zeroes}$

Upon substituting our given values in above formula we will get,

$\text{Discriminant}=4^2-4*2*4$

$\text{Discriminant}=16-32$

$\text{Discriminant}=-16$

Since our discriminant is less than zero, therefore, out given trinomial will have two complex solutions and option d is the correct choice.

3 0

2 years ago

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Classify by degree and number of terms:

tester [92]

Answer:

cubic binomial is your answer

6 0

2 years ago

What is the value of the expression ? (243^2)^1/10 A.9 B.81 C.3 D.27

podryga [215]

$(243^2)^{\tfrac 1{10}}\\\\=243^{\tfrac 2{10}}\\\\=243^{\tfrac 15}\\\\=(3^5)^{\tfrac 15}\\\\=3^{\tfrac 55}\\\\=3^1\\ \\=3\\\\\text{Hence the the answer is C.}$

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1 year ago

2 If = X – 1= 4, then x = x – , 3

GalinKa [24]

Answer:

X=15/2

Step-by-step explanation:

hope it helps you

have a great day

3 0

2 years ago

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PLEASE HELP ASAP!!!

Pie

The formula for percent error is:

((Approximate value - exact value) / exact value) x 100

1) 14-12 = 2

2/12 = 0.1666

0.166 x 100 = 16.7% (Rounded to nearest tenth)

2) 231 - 215 = 16

16/215 = 0.74419

0.74419 x 100 = 7.4419% ( Round as needed)

3) 17.1 - 16.5 = 0.6

0.6/16.5 = 0.36364

0.36364 x 100 = 3.6364% (Round off as needed)

4) 1081 - 1150 = -69

-69/1150 = -0.06

-0.06 x 100 = -6% = 6% error

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2 years ago

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