4 years ago

KNOWLEDGE CHECK: ALEKS

1 answer:

5 0

a and b: decreasing

b and c: constant

c and d: decreasing

d and e: increasing

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Arisa [49]

Keep in mind that you can gather only like terms. Two terms can be summed/subtracted if they involve the same powers of the same variables.

So, going point by point:

We can subtract the terms, because they both involve the variable $b$ , and we have $3b-7b = (3-7)b = -4b$
We can sum the terms, because they all involve the variable $a$ , and we have $a+a-5a = (1+1-5)a = -3a$
We can't sum this terms: 3 is a pure number, while 3r involves the variable r.
We can only sum the two terms: we have $7t-8t-8 = (7-8)t-8 = -t-8$
We can't sum this terms: -20 is a pure number, while -15p involves the variable p.
We can sum the terms, because they all involve the variable $g$ , and we have $-g-g-g = (-1-1-1)g = -3g$