This is the working. the answer is x is less than half. the number line is beside it.
I hope it helped
Answer: x=15
Step-by-step explanation:
Equation: 107=(9x-115)+(4x+27)
Step 1: 9x+4x-115+27=107
Step 2: 13x-115+27=107
Step 3: 13x-88=107
Step 4: 13x-88+88=107+88
Step 5: 13x=195
Step 6: 13x/13=195/13
x=15
Consider this option (basic steps are marked).
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:
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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Yes, quadrilateral means its four angles have equal measures.