Answer:
4:1 (divide both sides by 3)
Step-by-step explanation:
When competing the square, you want to have
at the end, and using the fact that the x term and coefficient are really
, we see that the third option is the most efficient way to start
31 is g = -19
32 is x = -9
34 is w = -11
31:
g-(-7) = -12
g+7 = -12
g = -19
32:
-5x = 45 divide by -5
x = -9
33 looks like it has a print error so I can’t figure that out, I don’t know where the |-2| is supposed to be
34:
(w-1)/4 = -3 multiply by 4
w - 1 = -12
w = -11
In this item, it can be seen that from an expression of,
(4 + 5i) + (-3 + 7i)
Aiko transformed the equation by factoring out the i's from the expression and wrote it as,
(4 + 5)i + (-3 + 7)i
Now this is wrong because i there is not a variable but a notation that 5 and 7 are imaginary numbers. In fact, she cannot factor out the i's because it is not present in both -3 and 4. The answer therefore to this item is the last sentence, "Aiko incorrectly used the distributive property by combining ..."
