A, D and E are correct
given ( x - 4 ) is a factor then x = 4 is a root
the remainder on division by (x - 4 ) = 0 as indicated by the 0 on the right side of the quotient
(x - 4 ) is a factor of 3x² - 13x + 4 → A
the number 4is a root of f(x) = 3x² - 13x + 4 → D ( explained above )
thus 3x² - 13x + 4 ÷ (x - 4 ) = 3x - 1 → E
the quotient line 3 - 1 0
3 and - 1 are the coefficients of the linear quotient and 0 is the remainder
Answer: 4
Step-by-step explanation:
x - 2y =10
x = 10 + 2y



... cancel like terms (y + 5)
= 4
The translation of the given sentence into an equation is: 7(b + 3) = 1.
<h3>How to Translate a Sentence into an Equation?</h3>
Variables can be used to represent an unknown quantity when translating statements into equation. The word "times" is represented as or means "×" (multiplication). "Sum" means addition as well.
Thus, the sentence given can be translated as shown below:
The unknown number is represented as variable b.
"The sum of a number (b) and 3" would be translated as: b + 3.
"Seven (7) times the sum of a number and 3 (b + 3)" would therefore be: 7(b + 3).
Therefore, translating the whole sentence into an equation, we would have:
7(b + 3) = 1.
Thus, the translation of the given sentence into an equation is: 7(b + 3) = 1.
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Answer:
3) Functional
4)IS NOT Functional
Step-by-step explanation:
3) Each of the X Do not have the same Y number.
4)One of the X Numbers have the same Y number
I am sorry if I could not answer number 5 and 6.