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Mathematics

1 answer:

Phoenix [80]2 years ago

3 0

The two transformations for fx and gx would be to shift by 6 units and also go up by 18.

<h3>What is a transformation?</h3>

This is the term that is used in mathematics to describe the manipulation of a line or a shape.

a. The possible transformations that can be gotten here would be to shift to the left by 6 units from what we have in the graph and also shift to the top by 18.

<h3>b. How to solve for K in the transformation</h3>

g of x = f(x - k) then

g(x)= f(x) + k

C. The value of k should be based on the way it changes based on the given points.

Vertically, g(x)=f(x) +18

Horizontally , g(x)=f(x-6)

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Find two numbers if their sum is 6.1 and their difference is 1.6

Radda [10]

For this case, the first thing we must do is define variables:
x: unknown number (1)
y: unknown number (2)
We now write the equations that model the problem:
their sum is 6.1:
$x + y = 6.1
$
their difference is 1.6:
$x - y = 1.6
$
Solving the system we have:
We add both equations:
$x + x = 6.1 + 1.6

2x = 7.7

x = 7.7 / 2

x = 3.85$
Then, we look for the value of y using any of the equations:
$x - y = 1.6

y = x - 1.6

y = 3.85 - 1.6

y = 2.25$
Answer:
The numbers are:
$x = 3.85

y = 2.25$