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vivado [14]
3 years ago
11

X2 − 6x + 8 > 0 solve

Mathematics
1 answer:
Masja [62]3 years ago
5 0

Hello :

x²- 6x + 8 = x² - 2(3)(x) +8

                = (x² -2(3)(x) +9) - 9 + 8

               = ( x - 3 )² - 1²

               = (x - 3 + 1 ) (x - 3 - 1 )

x²- 6x + 8 = (x - 2 ) ( x - 4 )

x      - ∞             2             4              + ∞

ــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــــ

x - 2       --------    0   +++++   +++++++

x - 4      ---------          --------  0  +++++

(x - 2 ) ( x - 4 )  +++ 0 ------ 0 ++++++  

x2 − 6x + 8 > 0   the solution in :  ]-∞:2[ U   ]4;+∞[


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EastWind [94]

Answer:

The equation to determine the total length in kilometers is  \frac{h}{2} =(17+2)

The total length in kilometers of Josh’s hike is  38 km.

Step-by-step explanation:

Given:

Let the total length in kilometers of Josh’s hike be h.

Now Given that He has now hiked a total of 17 km and is 2 km short of being 1/2 of the way done with his hike.

It means that to reach half of the length of total length Josh needs 2 more km to add in his hiking which is done which is of 17 km.

Framing the above sentence in equation form we get;

\frac{h}{2}=(17+2)

Hence, The equation to determine the total length in kilometers is  \frac{h}{2} =(17+2)

Now Solving the above equation we get;

First we will multiply 2 on both side using Multiplication property we get;

2\times \frac{h}{2}= 2\times(17+2)\\\\h =2\times 19 =38 \ km

Hence,  The total length in kilometers of Josh’s hike is  38 km.

4 0
3 years ago
Read 2 more answers
2ax+1=ax+5 i need help with my work
OLga [1]
2ax + 1 = ax + 5

First, subtract 1 from both sides. / Your problem should look like: 2ax = ax + 5 - 1
Second, simplify ax + 5 - 1 to ax + 4. / Your problem should look like: 2ax = ax + 4
Third, subtract ax from both sides. / Your problem should look like: 2ax - ax = 4
Fourth, simplify 2ax - ax to ax. / Your problem should look like: ax = 4
Fifth, divide both sides by a. / Your problem should look like: x = \frac{4}{a}

Answer: x = \frac{4}{a}

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4 years ago
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DochEvi [55]

Answer:

Step-by-step explanation:

The midpoint of two coordinates (x1, y1) and (x2, y2) is expressed as;

M(X,Y) = {(x1+x2)/2, (y1+y2)/2}

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x1 = h, y1 = k, x2 = h, y2 = j

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M(X,Y) = {(x1+x2)/2, (y1+y2)/2}

M(X,Y) = {(h+h/2, (k+j)/2}

M(X,Y) = {(2h)/2, (k+j)/2}

M(X,Y) = {h, k+j/2}

hence the coordinates of point M is {h, k+j/2}

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