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Anton [14]
4 years ago
11

Determine the solution to f(x) = g(x) using the following system of equations:

Mathematics
1 answer:
olya-2409 [2.1K]4 years ago
5 0
In this item, we equate the functions as stated.
             f(x) = g(x)
          3x - 23 = -4.5x + 7

Transpose all the terms with variables to one side of the equation and all the constants to the other side. This is shown below.
         3x + 4.5x = 7 + 23

Combine like terms,
             7.5x = 30
Divide both sides of the equation by 7.5.
            (7.5x)/7.5 = 30/(7.5)
             <em>      x = 4</em>

Therefore, the solution to this item is that x = 4. 
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Chandresh has several fishing rods that she would like to pack in boxes. One box is shown below.
tresset_1 [31]

Answer:

the 24-inch rod

Step-by-step explanation:

5 0
3 years ago
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What is the work and answer to this problem -8(p-8)+8p=-7p+36
natulia [17]
-8p +64 +8p = 7p +36
64 = 7p + 36
64-36 = 7p +36 -36
28=7p
28/7 = 7/7p
4=p

8 0
4 years ago
Solve the system by elimination.<br> -2x+2y+3z=0<br> -2x-y+z=-3<br> 2x+3y+3z=5
jeyben [28]

Answer:

The answer to your question is:

x = 1; y = 1, z = 0

Step-by-step explanation:

                                            -2x + 2y + 3z = 0        (I)

                                             -2x - y + z = -3           (II)

                                              2x + 3y + 3z = 5      (III)

I and II. Multiply II by 2

                                      -2x + 2y + 3z = 0

                                  (2)(-2x -   y  +   z = -3 )

                                       -2x + 2y + 3z = 0

                                       -4x -  2y  + 2z = -6

                                      -6x           + 5z = - 6       (IV)

II and III. Multiply II by 3

                                      -6x - 3y +  3z = -9     (II)

                                       2x + 3y + 3z = 5      (III)

                                     -4x         + 6z = -4           (V)

IV and V. Multiply IV by 2 and V by -3

                                   -12x  +  10z = -12

                                     12x  -  18z = 12

                                             - 8 z = 0

                                                   z = 0

Substitute z in IV

                              -6x + 5(0) = -6

                             -6x = -6

                                x = 1

Substitute x and z in I

                              -2(1) + 2y + 3(0) = 0

                              -2 + 2y = 0

                                      2y = 2

                                        y = 1

8 0
3 years ago
Question 1. What expression represents "the sum of 5 times p and 9, divided by 10"?
tia_tia [17]

Answer:

C and C

Step-by-step explanation:

1) (5P + 9)/10  (C)

2) 2 times N plus 1 (C)

5 0
3 years ago
Write an expression that represents the value in cents of n nickels
erma4kov [3.2K]
An expression does not have an equal sign.
Since the value of a nickel is 5 cents and you want to find out the value of n nickels (which means if you had any number of nickels) the expression would be
.05n
8 0
3 years ago
Read 2 more answers
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