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geniusboy [140]
2 years ago
9

Use the graph that shows the solution to f(x)=g(x).

Mathematics
1 answer:
Charra [1.4K]2 years ago
4 0

The solution to the system of equations is given as follows:

x = 1 and x = 3.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the two equations are:

\frac{1}{x - 2} = x - 2

Applying cross multiplication:

(x - 2)(x - 2) = 1

x² - 4x + 4 = 1

x² - 4x + 3 = 0

(x - 1)(x - 3) = 0

Hence the solutions are:

  • x - 1 = 0 -> x = 1.
  • x - 3 = 0 -> x = 3.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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What is the slope-intercept form of the function described by this table?
Pavel [41]

Answer:

y = -4x +2

Step-by-step explanation:

As x-values increase by 1, y-values decrease by 4. The slope of the line is ...

... m = (change in y)/(change in x) = -4/1 = -4

We can use the first (x, y) pair as a point to use in the point-slope form of the equation of a line. That form can be written, for slope m and point (h, k) ...

... y = m(x -h) +k

using m = -4 and (h, k) = (1, -2), we can fill in the numbers to get ...

... y = -4(x -1) -2

... y = -4x +4 -2 . . . . eliminate parentheses

... y = -4x +2 . . . . . . slope-intercept form

_____

<em>Alternate approach</em>

After you recognize that a change in x of 1 gives a change in y of -4, you can work backward one step to find the table value for y corresponding to x=0. That will be -2+4 = +2. Now, you know both the slope (-4) and the y-intercept (+2), so you can write the equation directly from this knowledge:

... y = -4x +2

7 0
3 years ago
The equation of this circle is (x + <br> )2 + (y + <br> )2 = <br> .
Alex787 [66]

Answer:

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I think this is the answer.

7 0
2 years ago
The number of undergraduates at Johns Hopkins University is approximately 2000, while the number at Ohio State University is app
dem82 [27]

Answer:

The answer is "Option C"

Step-by-step explanation:

please find the complete question in the attached file:

Its ratio of samples by Johns Hopkins will be about the equivalent than those from Ohio State because sample varying depending on the sample, each of them would have the same variability also like the amount, that's why he assumes the variance of sample sizing in the sample percentage p with both the hat above, relative to the confidence interval in Ohio State determined from its Johns Hopkins test.

6 0
3 years ago
9 weeks and 5 days<br> - 1 week and 6 days<br> ------------------------------
Butoxors [25]

Answer:

55 days or about 7 weeks

Step-by-step explanation:

9(7)= 63              because there are 7 days in one week

63+5=<u><em>68</em></u>

1(7)=7

7+6=<u><em>13</em></u>

68-13=55

6 0
3 years ago
Read 2 more answers
Find the missing side.​
sesenic [268]

Answer:

10

Step-by-step explanation:

Area of traingle:1/2

50=1/2.10.x

50=5x

50/5=5x/5

50/5=5x/5  

x=50/5

x=10

3 0
3 years ago
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