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Serggg [28]
3 years ago
7

4+square root of 6x-24=x

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0
Sqrt(6x-24) = x - 4
6x - 24 = (x - 4)^2
x^2 - 14x + 16 = 0
x=10 / x=4
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Your family went out to eat and the total bill was 68.50. If you leave a 15% tip, what is the total cost of the bill
KatRina [158]

Answer:

$ 78.78

Step-by-step explanation:

Calculate 15% of 68.50. then add it to the total bill.

6 0
3 years ago
Read 2 more answers
Given the function f(x) = 2|x + 6| – 4, for what values of x is f(x) = 6?
lara [203]

Answer:

x = -1 , - 11,

Step-by-step explanation:

| x | = x

|- x | = x

f(x) = 2 | x + 6 | - 4

x = - 1 , f( - 1) = 2 | - 1 + 6 | - 4 = 2 | 5 | - 4 = 10 - 4 = 6 , True

x = 1 , f( 1 ) = 2 | 1 + 6 | - 4 = 2 | 7 | - 4 = 14 - 4 = 10 , False

x = 11, f( 11 ) = 2 | 11 + 6 | - 4 = 2 | 17 | - 4 = 34 - 4 = 30 , False

x = - 11, f( - 11) = 2 | -11 + 6 | - 4 = 2 | - 5 | - 4 = 10 - 4 = 6 , True

x = 14 , f( 14 ) = 2 | 14 + 6 | - 4 = 2 | 20 | - 4 = 40 - 4 = 36 , False

x = -14 , f( - 14 ) = 2 | - 14 + 6 | - 4 = 2 | - 8 | - 4 = 16 - 4 = 12 , False

x = - 26 , f( - 26) = 2 | -26 + 6 | - 4 = 2 | -20 | - 4 = 40 - 4 = 36 , False

x = 26, f( 26 ) = 2 | 26 + 6 | - 4 = 2 | 32 | - 4 = 64 - 4 = 60 , False

                                                    OR

Given f ( x ) = 6

f( x ) = 2 | x + 6 | - 4

6  = 2 | x + 6 | - 4

6 + 4 = 2 | x + 6| - 4 + 4                 [ adding 4 to both sides ]

10 = 2 | x + 6 | + 0

5 = | x + 6 |                                    [ dividing both sides by 2 ]

- 5 =\  ( x+ 6) \ = 5\\\\                            [ \ | x | = a\  => \ -a \ =  x \ = a  \ ]

- 5 - 6 =  \ x + 6 - 6 \ = \ 5 - 6\\            [ \ subtracting \ by \ 6 \ ]

-11 = \ x \ =  - 1

3 0
3 years ago
Which statement is true about the angle bisectors of a triangle?
Rashid [163]

Answer:

Follows are the solution to the given question:

Step-by-step explanation:

There are missing details, which is why its solution is as follows:

When an angle bisector points so, its two sides of the corner are equidistant. Its corner bisector of a triangle angle is a straight line splitting its angle into two congruent directions. In such a single point, calling its incentives, follow three-angle engineers are required of its three triangle angles.

5 0
3 years ago
The quotient of two numbers is 4, and the difference is 3. What are the two numbers
Pie

Answer:

The numbers are 4 and 1

Step-by-step explanation:

Let x and y be the numbers

Quotient is division

x/y = 4

x-y =3

Taking the first equation and multiplying each side by y

x = 4y

Replacing into the second equation

4y -y = 3

3y = 3

Divide by 3

3y/3 = 3/3

y=1

Now we can find x

x -y =3

x-1 =3

Add 1 to each side

x= 4

6 0
3 years ago
A triangle has two sides of length 1 and 1. What is the smallest possible whole-number length for the third side?
lukranit [14]

Answer:

1

Step-by-step explanation:

7 0
2 years ago
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