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Evgesh-ka [11]
2 years ago
12

The functions f(x) and g(x) are shown on the graph. f(x) = |x| What is g(x)?

Mathematics
1 answer:
BabaBlast [244]2 years ago
6 0

By the knowledge on <em>absolute</em> values, <em>functional</em> theory and <em>rigid</em> transformations and given that the function f(x) = |x|, the function g(x) = f(x - 4) is equal to |x - 4|.

<h3>How is a second function in comparison with a given one?</h3>

According to the image attached herein, the function f(x) is an <em>absolute</em> value and the function g(x) results from translating f(x) in +x direction, representing a kind of <em>rigid</em> transformation as <em>Pythagoran</em> distance at every point of the function is conserved.

There, we can define the function g(x) as follows:

g(x) = f(x - k), for k > 0     (1)

By the knowledge on <em>absolute</em> values, <em>functional</em> theory and <em>rigid</em> transformations and given that the function f(x) = |x|, the function g(x) = f(x - 4) is equal to |x - 4|.

To learn more on absolute values: brainly.com/question/1301718

#SPJ1

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1/2x=5/4 solve the equation and inequalities
aivan3 [116]

The equation is simplified to x = 3/2

<h3>What are linear equations?</h3>

Linear equations are equations with the highest power of a variable as 1

Given the equation;

1/ 2x = 5/ 4

cross multiply

4 × x = 2 × 5

4x = 10

Make 'x' the subject

x = 10/ 4

Reduce to simplest term

x = 3/ 2

Thus, the equation is simplified to x = 3/2

Learn more about linear equations here:

brainly.com/question/14323743

#SPJ1

3 0
1 year ago
Question 1
miv72 [106K]
Answer is y+2=2/3(x-5) so the second one
So point slope for is y-y1=m(x-x1)
So the slope “m” is 2/3 and
x1=5 and y1=-2
So then you substitute
y-(-2)=2/3(x-(5))
y+2=2/3x-5/3
7 0
2 years ago
Solve xy^m=yx^3 for m
aleksklad [387]

Answer:

  m = 1 + 2log(x)/log(y)

Step-by-step explanation:

Taking logarithms, you have ...

  log(x) +m·log(y) = log(y) +3log(x)

  m·log(y) = log(y) +2·log(x) . . . . subtract log(x)

  m = (log(y) +2·log(x))/log(y) . . . divide by the coefficient of m

  m = 1 +2·log(x)/log(y) . . . . . . . simplify a bit*

_____

* The "simplified" form will depend on your preference. Here, I like the integer 1 brought out because most logs are irrational. The result may be very slightly more accurate if we add 1, rather than log(y)/log(y)--depending on your calculator.

6 0
2 years ago
You get 15 out of 24 questions correct on a math test. The lowest score to pass is a 70%. Did you pass, yes or no?
madam [21]
No. This is because 15/29 is .625 which is 62.5%.
7 0
3 years ago
Read 2 more answers
5x+y=4x-y=2GRAPHINGI need The Two slopes and The Two y- intercepts pleaseeeee
weqwewe [10]

Given the equations:

5x + y = 4

x - y = 2

Convert the standard from to the slope intercept from

The slope intercept form is : y = mx + c

Where m is the slope and c is y-intercept

So, for the equation 5x + y = 4

the slope intercept form will be:

y=-5x+4

so, the slope = m = -5

and y-intercept = c = 4

The graph of the line will be as following:

For the second equation: x - y = 2

The slope intercept form is :

y=x-2

The slope of the line = 1

and the y-intercept = -2

The graph of the line will be as following :

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a

4 0
1 year ago
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