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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. 
You might be interested in
My little sister needs help in this and I don't remember. ​
Anna71 [15]
You have to have the same denominator for both fractions, so I would multiply 3/4 by 3 that would give you 9/12 and the other one is 7/12. This means that the final answer would be 9/12>7/12.
7 0
2 years ago
If you help I will give you brainliest
hammer [34]

9514 1404 393

Answer:

  5 miles

Step-by-step explanation:

Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).

The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.

The total time is the sum of times for the two parts of the trip: walking and riding.

  walking time = walking distance/walking speed

  = w/3

  riding time = riding distance/riding speed

  = (20-w)/30

The total time is that given above:

  w/3 +(20-w)/30 = 13/6

  10w +(20 -w) = 65 . . . . . . . . multiply by 30

  9w = 45 . . . . . . . . . . . . subtract 20, collect terms

  w = 5 . . . . . . . . . . . divide by 9

The girl walked 5 miles.

8 0
3 years ago
Select the correct answer. A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the c
son4ous [18]

Answer:

The correct answer is D.

Step-by-step explanation:

Given:

General equation of second degree

x² + y² + 14 x + 2 y + 14 = 0

We must transform given equation to the canonical form from which we will read requested data.

The canonical form of the circle equation is:

(x - p)² + (y - q)² = r²  

Where p and q are the coordinates of the center of the circle and r are radius.    (p,q) = (x,y)

x² + 2 · x ·7 + 7² - 7² + y² + 2 · y · 1 + 1 - 1 + 14 = (x+7)² + (y+1) - 49 - 1 + 14 = 0

(x + 7)² + (y + 1)² = 36

We see that p = - 7 , q = - 1 and  r = 6

God with you!!!

4 0
3 years ago
Pleaseee help me answer this ASAP
Norma-Jean [14]

Answer:

C.

Step-by-step explanation:

Hope this Helps you !

7 0
3 years ago
Simplify (7x+42)/(x^2+13x+42)
Colt1911 [192]
\frac{7x+42}{x^2+13x+42}=  \frac{7(x+6)}{x^2+7x+6x+42}=   \frac{7(x+6)}{x(x+7)+6(x+7)}=  \frac{7(x+6)}{(x+6)(x+7)}=  \frac{7}{x+7}
7 0
3 years ago
Read 2 more answers
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