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timofeeve [1]
3 years ago
5

When her number is divided by 12, the remainder is 6, what is the remainder when the number is idvided by 9?

Mathematics
1 answer:
pentagon [3]3 years ago
3 0
Remainder: 6 when divided by 12
So 12x6= 72
Original number: 72
72/9= 8
The remainder: 8
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Hi. I need help with these questions.<br>See image for question.<br>​
Oduvanchick [21]

Step-by-step explanation:

<u>Given</u>

  • f(x) = 4x³ + 3x² - 2x - 1

<u>Divide it by the following:</u>

<u>(a) 2x + 1</u>

  • 4x³ + 3x² - 2x - 1 =
  • (4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =
  • 2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =
  • (2x + 1)(2x² + 1/2x - 5/4) + 1/4

Quotient =  2x² + 1/2x - 5/4

Remainder = 1/4

<u>(b) 2x - 3</u>

  • 4x³ + 3x² - 2x - 1 =
  • (4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =
  • (2x -3)(2x² + 4.5x + 5.75) + 16.25

Quotient = 2x² + 4.5x + 5.75

Remainder = 16.25

<u>(c) 4x - 1</u>

  • 4x³ + 3x² - 2x - 1 =
  • (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =
  • (4x - 1)(x² + x - 1/2) - 3/2

Quotient = x² + x - 1/2

Remainder = - 3/2

<u>(d) x + 2</u>

  • 4x³ + 3x² - 2x - 1 =
  • (4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =
  • (x + 2)(4x² - 5x + 8) - 17

Quotient = 4x² - 5x + 8

Remainder = - 17

8 0
2 years ago
Read 2 more answers
Can you guys give me 3 examples of the inverse property
Irina-Kira [14]

Of multiplication or addition?


3 0
3 years ago
Consider the inverse function. which conclusions can be drawn about f(x) = x2 2? select three options.
Elodia [21]

The function has a y-intercept at (0, 2). Then the correct options are A, B, and E.

The complete question is attached below.

<h3>What is the maximum and minimum value of the function?</h3>

The condition for the maximum will be

f"(x) < 0

The condition for the minimum will be

f"(x) > 0

Consider the inverse function.

f⁻¹(x) = -√(x - 2)

Then the conclusion of the function f(x) = x² + 2 will be

Differentiate the function, then we have

f ' (x) = 2x

Again differentiate, then we have

f" (x) = 2

f" (x) > 0

Then the function has a minimum value at (0, 2)

The function has a y-intercept at (0, 2)

Then the correct options are A, B, and E.

More about the maximum and minimum value of the function link is given below.

brainly.com/question/13581879

#SPJ1

5 0
1 year ago
mr.ross is building playroom.he is going to tile the flooring using 20cmx20cm tiles. the floor measures 2mx4m in area. how many
Valentin [98]

Answer:

200 tiles

Step-by-step explanation:

area of the floor = 2m×4m

the tile=20cm×20cm

the tiles needed to complete the job will be

2m×4m

——–—–

20cm×20cm

change the meters to centimeters

200cm×400cm

————————

20cm×20cm

therefore the answer is 200tiles.

3 0
2 years ago
1. What operation is being used in the equation?<br> x + 15 = 22
Harlamova29_29 [7]
Property of addition I think
5 0
3 years ago
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