In the past 4 months, Alex has lost 8 pounds, gained 9 pounds, lost 2 pounds, and lost another 6 pounds. Find his total change in weight. please provide with strategies!! ❤️​

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Explanation:

Draw a vertical number line. Let's say we start at 0 on the number line. Zero means no net change (he doesn't gain weight, nor does he lose weight either).

Losing 8 pounds means we go down 8 units. Think of it like being at the ground level and then going down 8 floors to the basement level of a large building (eg: parking garage maybe).

After this movement, we're at -8 on the number line. Then move up 9 units to arrive at +1 or just 1 on the number line. So Alex has gained those 8 pounds back to his original weight, plus an extra pound. So that's why -8+9 = 1.

Then move down 2 units to get to -1. Lastly, from -1 move 6 units down to get to -7.

So overall, Alex has lost 7 pounds when everything is said and done.

Refer to the diagram below. We start at point A, move to point B after losing 8 pounds, then to C when gaining 9 pounds, and so on until we get to point E. Point E is at -7 on the vertical number line to represent that he lost 7 pounds.

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We can think of it in another way:

add up all the losses to get

loss of 8 + loss of 2 + loss of 6 = loss of 16

So he lost 16 pounds if we ignore the "gained 9 pounds", but we have to account for that. So we'll take 9 away from 16 to get 16-9 = 7.

Overall, Alex lost 7 pounds.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

47.28 or 47.2857143

step-by-step explanation:

you just divide 331 by 7 and you get that answer. ( i think so tho)