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Alla [95]
2 years ago
6

Show all steps to find the product of -3x^3 + 2x - 4 and x^3 + x - 2.

Mathematics
1 answer:
Lana71 [14]2 years ago
7 0

Answer:

  -3x^6 -x^4 +2x^3 -8x +8

Step-by-step explanation:

Use the distributive property 4 times.

  (-3x^3 + 2x - 4)×(x^3 + x - 2)

  = -3x^3(x^3 +x -2) +2x(x^3 +x -2) -4(x^3 +x -2) . . . . once

  = -3x^6 -3x^4 +6x^3 +2x^4 +2x^2 -4x -4x^3 -4x +8 . . . . 3 more times

  = -3x^6 +x^4(-3+2) +x^3(6 -4) +2x^2 +x(-4 -4) +8 . . . . group like terms

  = -3x^6 -x^4 +2x^3 -8x +8

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Hitman42 [59]
350 hm/h is 217.48 Miles an hour
8 0
3 years ago
It is 6 kilometers from Linda's house to the nearest mailbox. How far is it in meters?
Zanzabum

Answer:

6000 meters

Step-by-step explanation:

Each kilometer is 1000 meters so 1000 x 6 is 6000

3 0
2 years ago
A rectangular window measures 54 inches by 24 inches. There is an a = 14-inch wiper blade attached by a b = 5-inch arm at the ce
nika2105 [10]
It the wiper blade (and arm) made a full rotation, 2 circles would be formed.

One small circle with radius b, and a larger circle with radius a+b.


The areas of these 2 circles are respectively:

\pi b^2=\pi\cdot 5^2=25 \pi (in^2)    and

\pi (a+b)^2=\pi (14+5)^2=361\pi (in^2)


120° is 1/3 of a complete angle 360° which form a circle, so the areas formed by the arm of length b, and the arm + the wiper blade (a+b) are:

\frac{25 \pi}{3} and \frac{361\pi}{3} in squared respectively.

the actual wiped area is \frac{361\pi}{3}-\frac{25 \pi}{3}= \frac{336\pi}{3}=112\pi \approx351.7 (in squared)


Area of the window is 54*24= 1296 (in squared)

thus, the ratio of the wiped area to the whole area of the window is 351.7/1296=0.271

Converted to percentages, this is 27.1%


Answer: 27.1%

3 0
3 years ago
Help ❤️ idc if my name shows
Elan Coil [88]

Answer:

1

Step-by-step explanation:

7 0
2 years ago
The circumference of a roll of party streamers is 9 inches. The circumference decreases by 2 inches after you use the streamers
leonid [27]
For that case the new circumference is:
 C = 9 - 2
 C = 7 inches
 By definition, the circumference is:
 C = 2 * pi * r
 Where,
 r: radio
 Substituting values:
 7 = 2 * pi * r
 Clearing the radio:
 r = 7 / (2 * pi)
 Then, the diameter is:
 d = 2 * r
 Substituting:
 d = 2 * (7 / (2 * pi))
 d = 2.228169203
 Round to the hundredth:
 d = 2.23 inches
 Answer:
 
The diameter of the roll after the decrease is:
 
d = 2.23 inches
7 0
3 years ago
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