Answer:
13, 14, 15
Step-by-step explanation:
Three consecutive integers have a sum of 42 means which 3 numbers in a row add up to 42
We can call the lowest integer x,
the next integer x+1 (since our integers need to be even)
the third integer x+2
algebraic equation: 42 = x + (x+1) + (x+2).
Combine like terms on the right side,
42 = 3x + 3
Subtract 3 from each side
39 = 3x
Divide each side by 3
x=13, which is our lowest integer.
The next two integers we find with 13 + 1 =.14 and 13 + 2 = 15
13 + 14 + 15 = 42.
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Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form: 3x^2 + 7x - 1.
The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or
7^2 - 4(3)(-1), or 49 + 12, or 61. Because the discriminant is positive, this quadratic has two real, unequal roots
Answer:
2x^2 is not equivalent
Step-by-step explanation:
3x = 3x
2x^2 = 2x^2
X(2+1) = 3x
2x + x = 3x
the odd one out is 2x^2
Answer:
False solution; [1⅐, -3 3⁄7]
Step-by-step explanation:
{x - 2y = 8
{4x - y = 8
-¼[4x - y = 8]
{x - 2y = 8
{-x + ¼y = -2 >> New Equation
____________
-1¾y = 6
y = -3 3⁄7 [Plug this back into both equations to get the x-coordinate of 1⅐]; 1⅐ = x
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