MATHEMATICS HIGH SCHOOL

(4x3 + 3x2 - 30x - 10) ÷ (x -3)

Answers

Answer 1
Answer:

The division of (4x³ + 3x² - 30x - 10) by (x - 3) is equal to 4x² + 3x - 21 with a remainder of -73.

How to divide the polynomial

To divide the polynomial (4x³ + 3x² - 30x - 10) by (x - 3), we can use long division Divide the first term of the dividend by the first term of the divisor:

4x³ / x = 4x²

4x² * (x - 3) = 4x³ - 12x²

(4x³ + 3x² - 30x - 10) - (4x³ - 12x²) = 3x²- 30x - 10

Bring down the next term from the dividend:

3x² - 30x - 10

3x² / x = 3x

Multiply the divisor (x - 3) by the result from step 5:

3x * (x - 3) = 3x² - 9x

(3x² - 30x - 10) - (3x²- 9x) = -21x - 10

Bring down the next term from the dividend:

-21x - 10

-21x / x = -21

Multiply the dvisor (x - 3) by the result from step 6:

-21 * (x - 3) = -21x + 63

(-21x - 10) - (-21x + 63) = -73

The result of the division is the sum of the quotients obtained in each step:

4x² + 3x + (-21)

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Answer 2
Answer: (12x+6x-30x-10)/(x-3)=
=(-12x-10)/(x-3)
=-12x*+36- 10x+30=
=-22x+56

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A bookstore charges a standard rate for paperback or hardback books. The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book. Write a system representing the situation. Use the graph test made the solution of the system. What does the solution mean to the situation? How much does each type of book cost? You substitution to verify your solution.

Answers

The required price of the paperback book and hardback book is $2.95 and $13.95 respectively.

Given that,
The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the price of paperback be x and price of hardback books be y,
According to the question,
x = y - 11 - - - (1)
53x + 45y = 784.10 - - - (2)
From equation 1
53 [y - 11] + 45y = 784.10
y = $13.95

Now,
y = 13.95 - 11
y = $2.95

Thus, the required price of the paperback book and hardback book is $2.95 and $13.95 respectively.

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p = h - 11
53p + 45h = 784.10

just a matter of subbing and solving...
53(h - 11) + 45h = 784.10
53h - 583 + 45h = 784.10
98h = 784.10 + 583
98h = 1367.10
h = 1367.10/98
h = 13.95

p = h - 11
p = 13.95 - 11
p = 2.95

so paperbacks (p) are 2.95 a piece and hardbacks (h) are 13.95 a piece

URGENT PLEASE HELP ME WITH THIS MATH QUESTION

Answers

Answer: 90

Step-by-step explanation:

Basically you reflect twice and then rotate it

Answer :

22.5 is the answer

MARK ME AS BRANILIST

The amount of data left on a cell phone plan is 6 GB after 8 days. 1.5 GB of data is used each day. How much is a available at the beginning of the cycle?

Answers

All we have to do is add 1.5 GB per day times the 8 days that's already happened to the current 6 GB, and so it looks like this:
8(1.5)+6
12+6
18 GB at the beginning of the cycle
18 GB because if you multiply 1.5 by 8 then add 6 you get 18, add GB because thats the unit.

Anita and Maria went to the candy store. Maria bought 5 pieces of fudge and 3 pieces ofbubble gum for a total of $5.70. Anita bought 2 pieces of fudge and 10 pieces of bubblegum for a total of $3.60. Determine the cost of 1 piece of bubble gum.

Answers

! piece of Bubblegum costs $0.15 One piece of Fudge costs $1.05

Final answer:

The price of one piece of bubble gum is $0.15. This can be determined by setting up algebraic equations based on the given information, allowing the fudge and bubble gum prices to be calculated.

Explanation:

The subject of this question is algebra and it uses a system of simultaneous equations to find the price of each piece of candy.

  1. Let's say 'f' is the cost of fudge and 'g' is the cost of gum.
  2. We can write two equations based on the information given: 5f + 3g = 5.70 and 2f + 10g = 3.60.
  3. To find the cost of the bubble gum first, we can eliminate 'f' by multiplying the first equation by 2 and the second one by 5 which will give us: 10f + 6g = 11.40 and 10f + 50g = 18.00
  4. Then we subtract the second equation from the first equation. This gives us: 44g = 6.60.
  5. Finally, we divide by 44 to get the price of gum, 'g' = 6.60 / 44 = $0.15.

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If m∠2 = 137 and m∠P = 22, what is m∠O?

Answers

The measure of angle O is 21 degrees.

What are the properties of Triangle?

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

The sum of the interior angles in a triangle is 180 degrees. Therefore, we can find the measure of angle O by subtracting the measures of angles N and P from 180 degrees:

m∠O = 180° - m∠N - m∠P

We are given that m∠N = 137 degrees and m∠P = 22 degrees, so substituting these values, we get:

m∠O = 180° - 137° - 22°

m∠O = 21°

Therefore, the measure of angle O is 21 degrees.

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Complete question:

in a triangle npo If m∠n = 137 and m∠P = 22, what is m∠O?
so than this is a triangle so we know that the sum of measure of angles of a triangle is equal 180 degrees 
- in this case m<O = 180 -(137+22) = 180 -159 = 21

m<O = 21 degrees 

I have no idea how to find the values of x and y in that diagram. Can someone help?

Answers

Answer:

Multiple choice?

Step-by-step explanation:
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