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EastWind [94]
3 years ago
5

What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(−

Mathematics
2 answers:
nadezda [96]3 years ago
7 0

Solution:

1. The given function is

f(x) = 2 x

it is equation of line passing through origin having slope 2 and the line passes through first and third quadrant.

Domain= All Real numbers, Range = All Real Numbers

2. Now , when x is replaced by (-12 x), we get

f(-12 x)= 2 × (-12 x)

Let f(-12 x)= f(z)= -24 x

it is equation of line passing through origin having slope -24 and the line passes through second and fourth quadrant.

Domain= All Real numbers, Range = All Real Numbers

Relation between the two function i.e between 1 and 2 is

→Slope of line 2 = Slope of line 1 × (-12)

→ The function 2 i.e f(z)= -24 x shifts in left Direction.

The function 1 is dilated by factor of (-12) to get function 2.

olasank [31]3 years ago
4 0
It would be replaced with f(-2) which is the reciperacle of 2x
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3 years ago
For all values of x,<br>f(x) = x^2 + 3x and g(x) = x - 4<br>Show that fg(x) = x^2 - 5x + 4​
Westkost [7]

Answer:

f(g(x)) =  x² - 5x +4

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that the functions

         f(x) = x² + 3 x   and g(x) = x-4

     f(g(x)) = f(x -4)   (∵ g(x) = x-4)

              = (x-4)² + 3(x-4)

              = x² - 2(4)x + 4² + 3x -12

             = x² - 8 x + 16 + 3x -12

             = x² - 5x +4

∴ f(g(x)) =  x² - 5x +4

4 0
3 years ago
Mrs. Potts can make 5 dozen ravioli in 1 hour. Write and solve a direct variation equation to find many she can make in 2 1/2 ho
erica [24]
A direct variation generally has the equation Y=KX 
Because Mrs. Potts makes 5 dozen ravioli in 1 hour, this will be the K value.
(5 dozen/1 hr)
To figure out how many she can make in 2 1/2 hrs. You use 5 dozen/1 hr as the K value and multiply that by 2 1/2 hrs (the X value).
The hrs will cancel out and you will be left with the number of ravioli made in 2 1/2 hrs.
5 0
3 years ago
35% of salt is in feta cheese. What percentage of salt is in that 350 g cheese?
xxMikexx [17]

The amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.

<h3>What is percentage of a number?</h3>

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

35% of salt is in feta cheese. The percentage of salt is in that 350 g cheese has to be found out.

Let suppose there is x grams of slat in feta cheese of 350 g. Thus, the amount of salt (35% of 350) is,

x=\dfrac{35}{100}\times350\\x=122.5\rm\; gm

Thus, the amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.

Learn more about the percentage here;

brainly.com/question/2085058

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5 0
1 year ago
Help please <br> Brainiest answer to whoever is first
Degger [83]
Should be 1204.75? use this answer to check your work!

My work:
14 times 18 (since there’s two triangles) = 252
36 times 28 = 1008
6.5 times 8.5 = 55.25

(1008 + 252) - 55.25 = 1204.75
6 0
2 years ago
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