Answer:
Its the second choice.
Step-by-step explanation:
g(x) = (x - 3)^2 + 9
The -3 in the parentheses moves the graph of x^2 3 units to the right.
The + 9 moves it upwards 9 units.
The algebraic expression for the word phrase "the product of a number and 3" as a variable expression is 3z
<h3>How to write an algebraic expression for the word phrase "the product of a number and 3" as a variable expression?</h3>
The word phrase is given as:
"the product of a number and 3"
Represent the number with z
So, the word phrase can be rewritten as:
"the product of a number z and 3"
The product of a number z and 3 is represented as:
z * 3
When evaluated,, the expression becomes
z * 3 = 3z
Hence, the algebraic expression for the word phrase "the product of a number and 3" as a variable expression is 3z
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Given that Nicholas has a 115 fantasy and science fiction books which is 46% of his collection.
Now we have to find what is total number of books in his collection.
Let number of books in Nicholas collection = x
then number of fantasy and science fiction books = 46% of x = 0.46x
We already know that he has 115 fantasy and science fiction books, so both values will be equal and give equation:
0.46x=115
now we can solve this equation to find the answer.

x= 250
Hence final answer is:
Nicholas has 250 books in his collection.
Answer:
hi sorry but i dont know what is the answer
Step-by-step explanation:
im very very sorry
Answer:
No, it cannot have a unique solution. Because there are more variables than equations, there must be at least one free variable. If the linear system is consistent and there is at least one free variable, the solution set contains infinitely many solutions. If the linear system is inconsistent, there is no solution.
Step-by-step explanation:
the questionnaire options are incomplete, however the given option is correct
We mark this option as correct because in a linear system of equations there can be more than one solution, since the components of the equations, that is, the variables are multiple, leaving free variables which generates more alternative solutions, however when there is no consistency there will be no solution