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Bond [772]
3 years ago
6

For which values of the variables the following equality is true?

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
6 0

Answer:

For The value of a = 0 and c = 0 , The given expression equality is true  

Step-by-step explanation:

Given expression as :

\frac{3a^{2}+ac+2c-6a}{3a - c} = a - 2

Or, 3 a² + ac + 2 c - 6 a = ( a - 2 ) × ( 3 a - c )

Or, 3 a² + ac + 2 c - 6 a =  3 a² - ac - 6 a + 2 c

Or, (  3 a² + ac + 2 c - 6 a ) - ( 3 a² - ac - 6 a + 2 c ) =0

Or, ( 3 a² - 3 a² ) + ( ac + ac ) + ( 2 c - 2 c ) + ( - 6 a + 6 a ) = 0

or,  0 + 2 ac + 0

Or, 2 ac = 0

∴  a =0  and c = 0

Hence For The value of a = 0 and c = 0 , The given expression equality is true  .  Answer

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= 2 - 4
jekas [21]

Answer:

Please find attached the required inverse of a function chart

Step-by-step explanation:

The inverse of a function is found by reversing the operations of the  function

The inverse of the function f(x) = 2·x - 4 is found as follows;

x = 2·x - 4

x + 4 = 2·x

x = (x + 4)/2 = x/2 + 2

Therefore, the inverse of the function f(x) = 2·x - 4 is f(x) = x/2 + 2

The inverse function is plotted by generating data points as follows;

{}x         {}          f(x)

0                2

1                  2.5

2                 3

3                  3.5

4                   4

5                   4.5

6                   5

7                   5.5

8                   6

9                   6.5

10                  7

11 {}                   7.5

12{}                    8

13                 8.5

14                  9

15                  9.5

16               10

5 0
3 years ago
Find the coordinates for the midpoint of the segment with endpoints given. (12, 4) and (-8, 8) (2, 6) (10, 6) (2, 2)
cluponka [151]
The given coordinates are:
p1: (12,4) and p2: (-8,8)

Th x coordinate of the midpoint is calculated as follows:
Xmidpoint = (x1+x2) / 2 = (12+-8) / 2 = 4/2 = 2

The y coordinate of the midpoint is calculated as follows:
Ymidpoint = (y1+y2) / 2 = (4+8) / 2 = 12/2 = 6

Based on the above calculations, the midpoint of the segment with the given coordinates is (2,6)
8 0
3 years ago
What is 0.25 (repeating 5) as a fraction?​
Vanyuwa [196]
1/2 or 2/4 pretty sure
4 0
3 years ago
If you get 20 dollars a week and you want to to something that cost $901 how many months will it take to save up
Troyanec [42]

Answer:15 Months

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What number is one hundred more than 792?
Andrej [43]
One hundred more than 792 = 792 + 100

792 + 100 = 892

892 is your answer

hope this helps
7 0
3 years ago
Read 2 more answers
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