Answer:
None of the above
Step-by-step explanation:
A proportional relationship is where one ratio is the same as another ratio. For example, the ratio 1:2 is the same as 2:4. If you go ahead and divide both of these ratios, you'll get the same relationship 1:2.
4 | 2x + 7 | = 16...divide both sides by 4
| 2x + 7 | = 16/4
| 2x + 7 | = 4
2x + 7 = 4 -(2x + 7) = 4
2x = 4 - 7 -2x - 7 = 4
2x = -3 -2x = 4 + 7
x = -3/2 -2x = 11
x = -11/2
so x = -3/2 and x = -11/2
f(x)= x^2 -6x +21
0 =x^2-6x+21
subtract 21 from each side to prepare for completing the square
-21 = x^2 -6x
completing the square (b/2)^2
(-6/2) ^ =3^2 = 9
add 9 to each side
-21 +9 = x^2 - 6x + 9
-21 +9 =(x-3) ^2
-12 = (x-3)^2
take the square root of each side
+- sqrt(-12) = x-3
add 3 to each side, take out the negative inside the square root
3 +- i sqrt(12)=x
simplify the square root sqrt(12)= sqrt(4)sqrt(3) =2sqrt(3)
3 +- i 2sqrt (3) = x
Answer: 3+2isqrt(3)
3-2isqrt(3)
True because if you are multiplying any number by a fraction smaller than 1, you are practically dividing it so the number become smaller. For example, multiplying by 1/2 is findind the half so its gonna get smaller.
