When solving the system of equations, x + 2y = 15 which expression could be substituted 5x + y = 21for x in the second equation?
1 answer:
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Answer:
x = 2 and y = 5
Step-by-step explanation:
Given equations are :
y-x = 3 ......(1)
xy = 10 or
x = (10/y) ....(2)
Put the value of x in equation (1).
Put the value of y in equation (2).
So, the value of x is equal to 2 and that of y is equal to 5.
Using translation concepts, the graph of f(x) = (x - 2)² + 3 is given at the end of the question.
<h3>What is a translation?</h3>A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, we have that the parent and the translated function are given, respectively, by:
- g(x) = x².
- f(x) = (x - 2)² + 3.
The translations are as follows:
- Right two units, as x -> x - 2.
- Up 3 units, because f(x) = g(x) + 3.
Hence the graphs are given at the end of the answer, with the parent function in red and the translated function f(x) = (x - 2)² + 3 in green.
More can be learned about translation concepts at brainly.com/question/4521517
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