Using translation concepts, the correct option is given as follows:
The graph of f(x) is shifted to the right to create g(x).
<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.
For this problem, the functions are given as follows:
That is, g(x) = f(x - 31), hence the function was shifted <u>31 units to the right</u> and the correct option is given by:
The graph of f(x) is shifted to the right to create g(x).
More can be learned about translation concepts at brainly.com/question/4521517
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The polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12. Then the correct option is D.
<h3>What is Algebra?</h3>
Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
According to the fundamental theorem of algebra.
The polynomial function has only exactly 6 roots.
The roots are the value of the variables in the polynomial at which the value of the polynomial is zero.
If the degree of the variable is n then the number of the roots will be n or less than n.
If the number of the roots are 6, then the degree of the variable will be 6 in the polynomial.
Then the polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12.
More about the Algebra link is given below.
brainly.com/question/953809
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Answer:
Y=-40x+122
Step-by-step explanation:
hello
Due to the nature of the data, it is most convenient to model this problem as a linear function.
To solve this problem we must use the equation that defines a line, then start assigning the corresponding values
y1=82bananas per day
X1=1 dolar
y2=52bananas per day
x2=1.75dolar
line ecuation
y − y 1 = m(x − x 1 )
where
solving:
Y-82=-40(x-1)
Y=-40x+40+82
Y=-40x+122
let's try the result!
Price =1dolar
Y=-40(1)+122=82bananas per day
Price=1.75dolar
Y=-40(1.75)+122=52bananas per day
Answer:
y= -40
Step-by-step explanation:
Answer:
x = (+ - ) 9
Step-by-step explanation:
x^2 = 81
u know how u can sometimes cancel something out by doing the opposite.
This is one of those times as well. the opposite of ^2 = square root.
so if we take the square root of both sides, this will cancel out the^2 on the left side.
sqrt (x^2) = sqrt(81)
x = (+-) 9.....thats a positive and a negative sign...because the sqrt of 81 is both 9 and -9.
