What is the binomials is a factor of the trinomials x^2+13x+40? a. x-5 b. x+5 c. x+4 d. x-4

The correct answer is:   [B]:    " (x + 5) " .

Explanation:

To solve:

Given:

" x²  +  13x + 40 " ;  factor into "two terms" ;

    →  that is;    "factor into 2 (two) binomial expressions" .

  What 2 (two) factors of:  "+ 40"  add up to " + 13 " ?  ;

+ 40, + 1  ?? ;  →   +40 + (+1) = +41 ;  →  + 41 ≠  + 13 ;

 - 40 + (-1) ?? ;  →  - 40 + (-1) = - 40 - 1 = - 41 ;  →  - 41  ≠ +13 ;

  +8, + 5 ?? ;     →  + 8 + 5 = + 13 ;  →  + 13  = + 13 .  Yes!

So;  the factors of:  " x²  +  13x + 40 "  ;

are:  " (x + 5) (x + 8) " .

        Among this 2 (two) binomial factors:  "(x + 5)"  AND:  "(x + 8)" ;

  one of these:  " (x + 5) "   —   appears among the answer choices provided;

        →  which is:     [B]:    " (x + 5) " .

The correct answer is:    [B]:     " (x + 5) " .

Hope this helps!

  Best wishes in your academic endeavors — and

     within the community!

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.