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kenny6666 [7]
3 years ago
7

Two lines, C and D, are represented by the equations given below:

Mathematics
1 answer:
hammer [34]3 years ago
4 0
Given:
line C: y = x + 14
line D: y = 3x + 2

(6,20) or (3,11)

line C: y = 6 + 14 = 20  or y = 3 + 14 = 17
line D: y = 3(6) + 2 = 18 + 2 = 20   or  y = 3(3) + 2 = 9 + 2 = 11

(6,20), because both lines pass through this point.
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What would the inverse be?
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Find the inverse of f(x)=2x-3.

1) replace "f(x)" with "y."   Then y=2x-3.
2) interchange x and y.  Then x=2y-3.                   x+3
3) solve this result for y.  Then 2y=x+3, or   y=----------------
                                                                                  2
                            -1           -1           x+3                        
4) replace y with f   (x):    f    (x) = ---------
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This is the procedure, with the answer given.
8 0
3 years ago
Solve by completing the square <br><br> 6x-x^2-7
Slav-nsk [51]

Answer:

6x-1/x^5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Y=3x+14<br> 2x-3y=-14<br> Substitution method
Montano1993 [528]

Answer:

x = -8

Step-by-step explanation:

y = 3x + 14

2x - 3y = -14

So, what is the substitution? Y of course, this is because y is equal to 3x + 14.

2x - 3 (3x + 14) = -14

Multiply 3 with the numbers in the parentheses.

2x - 9x + 42 = -14

So you maybe be wondering why it is a negative 7 instead of subtracting 9 with 2. Using PEMDAS, we always read from left to right. So it is basically 2 -9 and you get -7.

-7x + 42 = -14

Then subtract 42 from both sides.

-7x + 42 - 42 = -14 - 42

Simplify

-7x = -56

Divide 7 by both sides.

-7x / 7 = -56 / 7

x = -8

And you might ask, why we get x instead afterwards. This is because both -7 and 7 cancel each other out leaving us with x.

4 0
3 years ago
Read 2 more answers
The art teacher mixed 1/3 oz of red paint with 3/4 oz of blue paint to make purple paint. To make more of the same purple paint,
Sedbober [7]

Answer:

8/9 sorry if wrong

Step-by-step explanation:

6 0
3 years ago
Bob raises Guinea Pigs and Chinchillas on his beachfront oasis. There are a total of 60,005 animals at the oasis. The number of
raketka [301]
Let named variables as you said g- guinea pigs and c- chinchillas
System of equation is:

First is:   c+ g = 60,005 
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When we replace second in first we get:

2g+5+g = 60,005 => 3g+5= 60,005 => 3g= 60,000

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When this result we replace in the second equation we get

c= 2 * 20,000 +5= 40,000+5 = 40,005

c= 40,005

Good luck!!!!




6 0
3 years ago
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