which expression is equivalent to −12+(−45)+31 and includes the correct justification for the equivalence?


a
−12+(−45)+1555 by the additive inverse property
b
−12+31+(−45) by the commutative property
c
(−45)+(−12)+31 by the associative property
d
−12+31+(−0.8) because the opposite of a sum is the sum of its opposites.

Abc will undergo two transformations to give aa'b'c' which pair of transformations will give a different image of aabc if the order of the transformations is reversed? a. a rotation 90' counterclockwise about the origin followed by a reflection across the y-axis b a translation 5 units down followed by a translation 4 units to the right c. a reflection across the x-axis followed by a reflection across the y-axis a rotation 180'clockwise about the ongin followed by a reflection across the y-axis reset next 2 omentum all rights reserved o atk me anything o o e

What value is a discontinuity of x squared plus 8 x plus 4, all over x squared minus x minus 6?

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.