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Maslowich
3 years ago
10

|x-4|=6x+16 solve equation please

Mathematics
1 answer:
Delicious77 [7]3 years ago
7 0

Step-by-step explanation:

|x-4|=6x+16 To find the absolute value :

x - 4 = 6x + 16 or x - 4 = -6x - 16 for first equation

x - 4 = 6x + 16 export like terms to the same side of the equation

-4 - 16 = 6x - x (The terms chages signs from negative to positive and from positive to negative when exported to the other sideof the equation)

-20 = 5x divide by 5

-4 = x

For the second equation

x - 4 = -6x - 16 export like terms to the same side of the equation

x + 6x = -16 + 4

7x = -12

x = 1.7 approximately

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What types of numbers are undefined when they are under a radical sign? If you were dealing with the number √-1, would it be def
Misha Larkins [42]
The square root of a a negative integer is imaginary.
It would still be a negative under a square root if you multiplied it by 2, therefor it will still be imaginary, or I’m assuming as your book calls it, undefined.
2•(sqrt-1) = 2sqrt-1

If you add a number to -1 itself, specifically 1 or greater it will become a positive number or 0 assuming you just add 1. In that case it would be defined.
-1 + 1 = 0
-1 + 2 = 1

If you add a number to the entire thing “sqrt-1” it will not be defined.
(sqrt-1) + 1 = 1+ (sqrt-1)

If you subtract a number it will still have a negative under a square root, meaning it would be undefined.
(sqrt-1) + 1 = 1 + (sqrt-1)

however if you subtract a negative number from -1 itself, you end up getting a positive number or zero. (Subtracting a negative number is adding because the negative signs cancel out).
-1 - -1 = 0
-1 - -2 = 1

If you squared it you would get -1, which is defined
sqrt-1 • sqrt-1 = -1

and if you cubed it, you would get a negative under a square root again, therefor it would be undefined.
sqrt-1 • sqrt-1 • sqrt-1 = -1 • sqrt-1 = -1(sqrt-1)

Sorry if this answer is confusing, I don’t have a scientific keyboard, I’ll get one soon.
8 0
3 years ago
Please answer this correctly
meriva

Answer:

33.3%

Step-by-step explanation:

The numbers greater than 6 from the spinner are 7 and 8.

2 numbers out of total 6 numbers.

2/6 = 1/3

= 0.333

= 33.3%

4 0
3 years ago
Please help Slove for x
gayaneshka [121]

Answer:

x = 20

Step-by-step explanation:

These angles are consecutive interior angles, so when added they will equal 180 degrees (according to the consecutive interior angles theorem).

3x - 10 + 5x + 30 = 180          add/subtract all like terms

8x + 20 = 180

8x = 160

x = 20  <--- This will be your answer

Hope it helps!

7 0
4 years ago
Complete the table with the number of sit-ups you have to do sunday so that the mean number of sit-ups per day is 100
marissa [1.9K]

The mean is the average of the numbers.

It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Let the number of sit-ups you have to do Sunday be x. Then the sum of all sit-ups is

100+65+120+150+90+0+x=525+x.

The number of days is 7.

Thus, the mean is

\text{mean}=\dfrac{525+x}{7}.

You know that the mean number of sit-ups per day is 100, equate these two means and solve the equation:

\dfrac{525+x}{7}=100,\\ \\525+x=700,\\ \\x=700-525,\\ \\x=175.

Answer: 175 sit-ups

5 0
3 years ago
Write the equation for a circle with a center at (5,-2) and a radius of 4.
choli [55]

Answer:

(x-5)^2+(y+2)^2=4^2

Step-by-step explanation:

The equation of a circle is: ( x - h )^2 + ( y - k )^2 = r^2 where ( h, k ) is the center and r is the radius. Therefore, the equation in this instance is (x-5)^2+(y+2)^2=4^2.

8 0
3 years ago
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