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Ostrovityanka [42]
3 years ago
6

Find the product. (3p–2)(2p^2–p+3)

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer:

6p^3−7p^2+11p−6

Step-by-step explanation:

1. You would want to foil it, which means multiplying one number from each parentheses to the next parentheses, like so:

3p * 2p ^ 2 = 6p^3

3p * -p = -3p

3p * 3 = 9p

-2 * 2p^2 = -4p^2

-2 * -p = 2p

-2 * 3 = - 6

2. Now add all of the numbers we foiled together, thus getting you:

6p^3−7p^2+11p−6

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Solve the following systems of equations. -x + y = -2 and y= -4x + 3
Yanka [14]

Answer:

y = -1

x = 1

Step-by-step explanation:

as I have done the equation in the picture, I decided to re-write the second equation so that it's easier for me to use.

7 0
3 years ago
In a survey of 2000 people who owned a certain type of​ car, 700 said they would buy that type of car again. What percent of the
Inga [223]

Answer:

the answer is 55%

Step-by-step explanation:because 1,100 is 55% of 2,000

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6 0
3 years ago
A hollow cylindrical iron pipe with external and internal radii 8cm and 6cm respectively and length 35cm is melted and recast in
marusya05 [52]

Answer: length of wire = 500cm

Step-by-step explanation:

We would determine the volume of material used in making the hollow cylindrical iron pipe by subtracting the volume of the inner pipe from the volume of the outer pipe.

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Volume of inner pipe = π × 6² × 35 = 1260π

Volume of outer pipe = π × 8² × 35 = 2240π

Volume of material used in making the hollow cylindrical iron pipe is

2240π - 1260π = 980πcm³

The solid wire made is cylindrical and has a thickness of 2.8cm. This is the diameter. It means that the radius of the wire is 2.8/2 = 1.4cm

Volume of wire = 980πcm³

Applying the volume of cylinder formula, it becomes

980π = π × 1.4² × h

where h = length of wire

h = 980/1.4² = 500cm

3 0
3 years ago
Desrina travels 70 miles at an average speed of 70 mph.
Marizza181 [45]

Total miles = 70 + 70 = 140 miles

Total time = 140 miles / 57 mph = 2.456 hours

Time 1: 70 miles / 70 mph = 1 hour

Time 2:  70 miles / x mph

Total time = time 1  + time 2:

2.456 = 1 hour + 70/x

Subtract 1 hour from both sides:

1.456 = 70x

multiply both sides by x:

1.456x = 70

Divide both sides by 1.456:

x = 70/1.456

x = 48.0769 miles per hour

Rounded to 2 dp = 48.08 miles per hour

7 0
3 years ago
Read 2 more answers
If an orbiting satellite has a diameter of 60 cm, what is the total surface area of the satellite? (HINT: surface area = 4ℼr²)
grin007 [14]

Answer:

SA = 3,600π cm²

Step-by-step explanation:

You are given the formula, and the diameter.  The formula uses radius, which is 1/2 of the diameter.  In this case, r = 30.  Plug that into the formula and simplify...

SA = 4π(30²)

   SA = 4π(900)

       SA = 3,600π

8 0
3 years ago
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