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andrezito [222]
3 years ago
15

Solve for x 2|x-6|+14=38

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Answer:

x=18   x=-6

Step-by-step explanation:

2|x-6|+14=38

The first step is to isolate the absolute value

Subtract 14 from each side

2|x-6|+14-14=38-14

2|x-6|=24

Divide by 2 on each side

2/2|x-6|=24/2

|x-6| = 12

Now we can seperate the absolute value into two parts, the positive and the negative

x-6 =12          x-6 = -12

Add 6 to each side

x-6+6 =12+6     x-6+6 = -12+6

x=18                    x= -6

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Perform the following division:
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Hey!


Alright, the first step to solving this division problem would be to convert the mixed fraction into a simple fraction.  To do that, we'll multiply the denominator by the whole number and then add that total to the numerator.

<em>Original Fraction :</em>
3 \frac{3}{4}

<em>New Fraction {Changed by Conversion} :</em>
\frac{15}{4}

Now that we've successfully done that we'll have to change the equation.

<em>Old Equation :</em>
\frac{15}{4} ÷ \frac{2}{8} = ?

<em>New Equation {Changed by Flipping the Second Fraction and the Symbol} :</em>
\frac{15}{4} · \frac{8}{2} = ?

Now we multiply straight across.

<em>Old Equation :</em>
\frac{15}{4} · \frac{8}{2} = ?

<em>Solved :</em>
\frac{120}{8}

Almost done!
Now we have to simplify the fraction.

<em>Old Fraction :</em>
\frac{120}{8}

<em>New Fraction {Changed by Simplification} :</em>
\frac{15}{1}

Now just convert it to a whole number by removing the fraction line and the number, and that's it!

<span><em>So, 3  \frac{3}{4} ÷ \frac{2}{8} equals</em></span>  15.

Hope this helps!


- Lindsey Frazier ♥
7 0
3 years ago
Which statement correctly compares the two functions shown?
krok68 [10]

Answer:

C.

Step-by-step explanation:

For Function 2

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11=2m+b

11-8=2m-m

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8=3+b

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y=3x+5

Function 1

y=4x+5

Function 2

y=3x+5

....................

Function 1 has the same y-intercept and greater slope than Function 2.

4 0
2 years ago
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6+6+4+4
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3 years ago
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skelet666 [1.2K]
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6 0
2 years ago
Jack and Jill start driving from the same location. Jack drives 30 miles south while Jill drives west. If Jack and Jill are 78 m
arsen [322]

Answer:

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Step-by-step explanation:

For better understanding, I'll make use of an attachment.

From the attachment,

O represents the start point

OB = 30 --- Jack

AB = 78 -- Distance between them

Required

Find OA; Jack's distance

To do this, we make use of Pythagoras theorem

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<em>Hence, Jill drove 72 miles</em>

5 0
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