1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tasya [4]
3 years ago
15

Simplify the expression using long division. (10x2 – 85x – 10) ÷ (x – 8) Question 7 options: quotient 10x – 5 and remainder –50

quotient 10x – 85 and remainder 8 quotient 10x – 5 and remainder –30 quotient 10x + 5 and remainder 30
Mathematics
2 answers:
Anna [14]3 years ago
7 0

Answer:

The quotient is (10x - 5) and the reminder is -50 ⇒ 1st answer

Step-by-step explanation:

* Lets solve the long division by easiest way

∵ (10x² - 85x - 10)/(x - 8)

∵ (10x² - 85x - 10) is the dividend

∵ (x - 8) is the divisor

- Divide the first term of the dividend by the first term of the divisor

∴ 10x² ÷ x = 10x ⇒ first term of the quotient

- Multiply 10x by the the divisor

∴ 10x(x - 8) = 10x² - 80x

- Subtract the answer from the dividend

∴ (10x² - 85x - 10) - (10x² - 80x) =

# 10x² - 10x² = 0

# -85x - -80x = -85x + 80x = -5x

# -10

∴ (10x² - 85x - 10)/(x - 8) = 10x + (-5x - 10)/(x - 8)

* Repeat the same steps again with the new dividend -5x - 10

- Divide the first term of the dividend by the first term of the divisor

∴ -5x ÷ x = -5 ⇒ second term of the quotient

- Multiply -5 by the divisor

∴ -5(x - 8) = -5x + 40

- Subtract the answer from the dividend

∴ (-5x - 10) - (-5x + 40) =

# -5x - -5x = -5x + 5x = 0

# -10 - 40 = -50

∴ (-5x - 10)/(x - 8) = -5 + -50/(x - 8)

∴ (10x² - 85x - 10)/(x - 8) = 10x - 5 + -50/(x - 8)

- The quotient is the answer of the division

∴ The quotient is (10x - 5) and the reminder is -50

densk [106]3 years ago
4 0

Answer:

The quotient is 10x - 5 and the reminder is -50

Step-by-step explanation:

You might be interested in
Hlpppp meee hshshdjdjdj​
lilavasa [31]

Answer:

its b

Step-by-step explanation:

3 0
3 years ago
Giving out BRAINLIEST, THANKS, 5 STARS, and POINTS if answered correctly!<br> PLS HELP ASAP!
AnnyKZ [126]

Answer:

it is the first option

Step-by-step explanation:

the middle (median)is 31 and where the Q starts is 26

7 0
3 years ago
9x - 4y = 36<br> what is this in slope intercept form
shusha [124]

Answer:

y = ⁹/₄x -9

Step-by-step explanation:

Brainliest Please!!

6 0
2 years ago
What are the zeros of f(x)=x(x-8)
Flura [38]

Answer:

The zeros are x=0,x=8

Step-by-step explanation:

f(x)=x(x-8)

To find the zeros, we set the equation equal to zero

0 = x(x-8)

Using the zero product property

x= 0  x-8=0

x=0  x=8

The zeros are 0,8

8 0
3 years ago
Read 2 more answers
Marcia walked 900 meters on Friday. On Saturday, she walked 4 kilometers, On Sunday, she walked 3 kilometers,600 meters. How man
goblinko [34]

Answer:8.5km

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • What is the a simpler form of the following expression (2n+2)(2n-2)
    14·2 answers
  • Simplify the question <br> -3. (6+4.6+7
    6·2 answers
  • a speck of dust is 1.2 x 10^-6m wide. Which of the following is the best way to rewrite this quantity, using more appropriate un
    5·2 answers
  • Sabastian is driving 400 miles to meet his friend. He travels 100 miles in the first two hours of his trip. If he continues at t
    13·1 answer
  • Twice the sum of 15 and x as an algebraic expression
    15·2 answers
  • Help I need answer quickly
    12·1 answer
  • A blueprint for a house has a scale of 1:30. A wall in the blueprint is 8 in. What is the length of the actual wall?
    7·1 answer
  • What is the equation of the line through the origin and (2, 5)?
    6·2 answers
  • Which statements accurately describe how to determine the y-intercept and the slope from the graph below?
    12·1 answer
  • I need help because I’m done and school is almost over and I can’t fail I’m not getting left back
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!