The reciprocal of a number is the opposite of any known/unknown number
-x
four subtracted from this
-x-4
"h and k cannot both equal zero" -- yes, it can. if the vertex of a parabola is at (0, 0), there's nothing incorrect/invalid about that!!
"k and c have the same value" -- k and c do not have the same value. "k" is the y-value of the vertex and c is the constant in your quadratic equation, and the constant is not necessarily the y-value.
"the value of a remains the same" -- this is true. the a's in your equations are the same values, because the a-value is the coefficient of the x-variable in both equations. y = a(x - h)^2 and y = ax^2 -- both of these have a applying to your x-variables.
"h is equal to one half -b" -- this isn't true. the formula for calculating the x value of the vertex (h is the x-value of the vertex) is h = (-b/2a). -b/2a is not the same as one half -b because this answer choice doesn't involve the a-value.
Hey there!
2x + 5(2 + 6x) + 3(2x - 7)
DISTRIBUTE
= 2x + 5(2) + 5(6x) + 3(2x) - 7
= 2x + 10 + 6x + 6x - 7
COMBINE the LIKE TERMS
= (2x + 6x + 6x) + (10 - 7)
= 2x + 6x + 6x + 10 - 7
= 8x + 6x + 10 - 7
= 14x + 3
Therefore, your answer is: 14x + 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
