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alexdok [17]
2 years ago
14

The weight of Jacob’s backpack is made up of the weight of the contents of the backpack as well as the weight of the backpack it

self. Seventy percent of the total weight is textbooks. His notebooks weigh a total of 4 pounds, and the backpack itself weighs 2 pounds. If the backpack contains only textbooks and notebooks, which equation can be used to determine t, the weight of the textbooks?
Mathematics
2 answers:
Dafna11 [192]2 years ago
7 0
If the backpack (b) contains only textbooks (t) and notebooks (n), the total weight of the backpack is:

b+t+n

but notebooks are 4 pounds, so actually:

b+t+4

also, the backpack weights 2 pounds, so the total weight is:

2+t+4 =t+6
 now, "Seventy percent of <span> the total weight is textbooks. ", this means that


t=70%(t+6) - this equation can be used to determine the weight of the textbooks!
</span> 




puteri [66]2 years ago
3 0

Answer:

d. 0.7(t + 4 + 2) = t

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Answer:

f(g(x)) = \frac{1}{3}x^4 - 18x^2 + 252

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Given

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Required

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Determine g(f(x))

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Expand Brackets

f(g(x)) = (x^2 - 27)(\frac{1}{3}x^2 - 9) + 9

f(g(x)) = x^2(\frac{1}{3}x^2 - 9) - 27(\frac{1}{3}x^2 - 9) + 9

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f(g(x)) = \frac{1}{3}x^4 - 18x^2 + 252

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Expand Brackets

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y = \sqrt{\frac{x}{3} - 3}

Represent y with g(x)

g(x) = \sqrt{\frac{x}{3} - 3}

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