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Hitman42 [59]
2 years ago
5

3 x +14 (3x-4) +3 x ( 6) +3 (х+2 )=4

Mathematics
1 answer:
masha68 [24]2 years ago
8 0

The value of 'x' from the expression is 9/ 11

<h3>How to simplify the expression</h3>

Given the expression;

3 x +14 (3x-4) +3 x ( 6) +3 (х+2 )=4

First, we expand the bracket

3x + 42x - 56 + 18x + 3x + 6 = 4

collect like terms

3x + 42x + 18x + 3x - 56 + 6 = 4

Add up like terms

66x - 50 = 4

66x = 4 + 50

66x = 54

Make 'x' the subject of formula

x = 54/ 66

x = 9/ 11

Thus, the value of 'x' from the expression is 9/ 11

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1

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1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =
inessss [21]

Step-by-step explanation:

\underline{ \underline{ \text{Given}}} :

  • Length of MN ( Base ) = 8
  • Length of NL ( Hypotenuse ) = 10

\underline{ \underline{ \text{To \: find}}} :

  • Length of LM ( Perpendicular )

\underline{ \underline{ \text{Using \: pythagoras \: theorem}}} :

\boxed{ \sf{ {Hypotenuse}^{2}  =  {Perpendicular}^{2}  +  {Base}^{2} }}

⤑ \sf{  Perpendicular =  \sqrt{ {(Hypotenuse)}^{2}  -   {(Base)}^{2}  } }

⤑ \sf{ \sqrt{ {(10)}^{2}  -   {(8)}^{2}  } }

⤑ \sf{ \sqrt{100  -  64}}

⤑ \sf{ \sqrt{36}}

⤑ \boxed{ \sf{6\: units}}

\pink{ \boxed{ \boxed{ \tt{Our \: final \: answer :  \boxed{ \underline { \tt{6 \: units}}}}}}}

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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5 0
3 years ago
In a study on the time that
krok68 [10]

The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.

-----------------------------

To solve this question, we need to find the confidence interval for the amount of time it takes the students to get the degree.

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

-----------------------------

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 80 - 1 = 79

-----------------------------

95% confidence interval

Standard level of confidence, we have to find a value of T, which is found looking at the t table, with 79 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 1.9905.

-----------------------------

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.9905\frac{2.2}{\sqrt{80}} = 0.5

In which s is the standard deviation of the sample and n is the size of the sample.

-----------------------------

The lower end of the interval is the sample mean subtracted by M. So it is 4.8 - 0.3 = 4.3 years.

The upper end of the interval is the sample mean added to M. So it is 4.8 + 0.3 = 5.3 years.

-----------------------------

The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.

A similar question is given at brainly.com/question/24278748

6 0
3 years ago
Clare Made Some Lemonade By Mixing 6 cups of water with 8 tablespoons of lemonade powder
kvasek [131]
That is going to be 48 for the first question because 6x8 equals 48
4 0
3 years ago
Read 2 more answers
F(x) = 2x^2 − 3x − 5 Part
riadik2000 [5.3K]

Answer:  Answer  is in the steps..

Step-by-step explanation:

f(x)= 2x^{2} - 3x -5        

A) To find the x intercepts of a parabola we have to set the whole equation equal zero because the x intercept is when y equal zero in other words where f(x) equal zero.

 2x^{2}  - 3x - 5 = 0     Now solve using quadratic formula.

  x = -b±\frac{\sqrt{b^2 -4ac } }{2a}    

  x = 3 ± \sqrt{9+40} /2a  

   x = 3 ± \sqrt{49}  / 2a

   x= 3 ± 7 /4

   x= -1   or x = 5/2  

The x intercepts are  (5/2,0)  and (-1,0)

   

B)  The graph vertex of the graph of f(x)  is going to be at a minimum because the leading coefficient of the function has a positive integer which means the parabola will open up and its vertex will be at the minimum point.

 Using the  x coordinates  we could find their average and find the x coordinate of the   vertex.

\frac{5}{2} + -\frac{1}{1}  =  \frac{3}{2} / \frac{2}{1} = 3/4  

The x coordinate of the vertex  is 3/4 so we will input that into the equation and solve for the y coordinate  

2(\frac{3}{4})^2 - 3 (\frac{3}{4}) - 5   = 18/16 - 9/4 -5  =  -49/8

The y coordinate of the vertex  is  -49/8

So the vertex is (3/4, -49/8)  

C)   First  I will graph the vertex and then graph he two x intercepts and connect then like a U shape.

5 0
4 years ago
Add the polynomials <br><br><br> (-12x^5-7x^3+12x^2+11)+(4x^3+6x^2-6x+3)
tatuchka [14]

Answer:

-12x^5-3x^3+18x^2+14

6 0
3 years ago
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