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galben [10]
3 years ago
5

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When car

rying 15 gallons of fuel, the airplane weighs 1984 pounds. When carrying 40 gallons of fuel, it weighs 2124 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?
Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0
2424.80 lbs hope this helps
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GREYUIT [131]

Answer:

help

Step-by-step explanation:

4 0
2 years ago
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Find the numbers a, b and c if the polynomial x3−18x2+24xb−c is the cube of the binomial x+2a.
mojhsa [17]

Answer:

a=-3\\ \\b=\dfrac{9}{2}\\ \\c=216

Step-by-step explanation:

Use formula

(u+v)^3=u^3+3u^2v+3uv^2+v^3.

Hence,

(x+2a)^3=x^3+3x^2\cdot 2a+3x\cdot (2a)^2+(2a)^3=x^3+6ax^2+12a^2x+8a^3.

This expression is equal to

x^3-18x^2+24bx-c,

so we can equate the coefficients at powers of x:

x^3:\ 1=1\\ \\x^2:\ 6a=-18\Rightarrow a=-3\\ \\x:\ 12a^2=24b\Rightarrow b=\dfrac{9}{2}\\ \\1=x^0:\ 8a^3=-c\Rightarrow c=-8\cdot (-3)^3=216.

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4 years ago
Match each description with its symbolic representation. 1. P (A) The probability that both events A and B do not occur together
IgorLugansk [536]

Step-by-step explanation:

The answer is attached.

3 0
3 years ago
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Oh ok so square root of 2 is irrational since it goes on and on. square root of 18 is an irrational number too 
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8 0
3 years ago
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