Mathematics, 13.12.2019 15:31 kim95207

What 3 consecutive even numbers added together equal 42? use the equation n+(n+2)+(n+4)=42 to you solve.

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Answer from: jaisha23

To solve this problem, you need to solve the given equation.

n+(n+2)+(n+4)=42
n+n+2+n+4=42
3n + 6 = 42
3n = 36
n=12

This means that the first starting number is 12. So the 3 consecutive even numbers would be 12, 14, and 16.

To check this, we can add these numbers together, and see if we get a sum of 42.

12+14+16=42, therefore your answer is correct.

Answer from: andrecoral105

So consecutive even numbers are 2 away from each other so therefor th enumbers are
x,x+2,x+2+2
so the add upt o 42
x+x+2+x+2+2=42
add like terms
3x+6=42
subtract 6 from both sides
3x=36
divide by 3
x=12
numbers are x,x+2,x+4
12+2=14
12+4=16
numbers are 12,14,16

Answer from: Quest

hi there! my name is zalgo and i am here to you out today. the answer is pretty simple (in a way). this equation equals to 25.2!

i hope this answer !

"stay and stay proud! " - zalgo

Answer from: Quest

Answer: f(x) = -2x^3 +3x^2 +11x -6see attachedan infinite number. since the magnitude of the leading coefficient is not specified, it may be any negative number. (we have chosen the smallest magnitude integer that makes all coefficients be integers.)step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.

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