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3 years ago

write each of the following products in standard polynomial form. (a) (x+3)(x-2)(x-8) (b) (x+2)(x-2)(x+3)(x-3)

Mathematics

1 answer:

Annette [7]3 years ago

5 0

Answer: A)x²+x-6 B) 2x²-13

Step-by-step explanation: A) (x+3)(x-2)(x-8) = x²-2x+3x-6 = x²+x-6

B) (x+2)(x-2)(x+3)(x-3) =→ x²-2x+2x-4 = x²-4

→x²-3x+3x-9 = x²-9

∴x²-4+x²-9 = <u><em>2x²-13</em></u>

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3 years ago

Sally's soccer team played 25

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2 years ago

a plane averaged 400 mph on a trip going east, but only 280 mph on the return trip. The total flying time in both directions was

Liula [17]

Answer:

1400 miles

Step-by-step explanation:

Speed is the time rate of change of distance. It is the ratio of distance to time and is given by the equation:

$Speed(S) = \frac{distance(d)}{time(t)}\\ S=\frac{d}{t}$

plane averaged 400 mph on a trip going east, but only 280 mph on the return trip.

The time spent (t₁) in going east is given by:

$S=\frac{d}{t_1}\\ t_1=\frac{d}{S} =\frac{d}{400mph}$

The time spent (t₂) in going east is given by:

$S=\frac{d}{t_2}\\ t_2=\frac{d}{S} =\frac{d}{280mph}$

The total time (t) = t₁ + t₂

t = t₁ + t₂ = 8.5 hours

$\frac{d}{400}+\frac{d}{280} =8.5\\280d+400d=952000\\680d=952000\\d=1400miles\\$

Therefore the one way distance is 1400 miles

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2 years ago