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]
2 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]2 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]2 years ago
4 0

Answer:

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

Step-by-step explanation:

You might be interested in
A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius o
Natasha_Volkova [10]

Answer:

<h2>A) 3 cm</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V=\pi r^2H

r - radius

H - height

We have r = 1cm and H = 21cm. Substitute:

V=\pi(1^2)(21)=21\pi\ cm^3

The formula of a cone:

V=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have V = 21π cm³ and H = 7cm. Substitute:

\dfrac{1}{3}\pi(r^2)(7)=21\pi        <em>divide both sides by π</em>

\dfrac{1}{3}(7)(r^2)=21         <em>divide both sides by 7</em>

\dfrac{1}{3}r^2=3         <em>multiply both sides by 3</em>

r^2=9\to r=\sqrt9\\\\r=3\ cm

5 0
2 years ago
Read 2 more answers
Solve for z: -14z - -16z - -8z - 11z +7z = -12
Jet001 [13]
-2. gv. gv. vv. g v gvv
8 0
3 years ago
100%<br> &amp;<br> There are 16 girls and 18 boys in a class. The teacher chooses a student's name at<br> What is the probabilit
Mariulka [41]

Answer:a

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Help I need to turn this in by 12:30
11Alexandr11 [23.1K]
B- -3

If x is two according to the coordinate points, that means the equation is now -8+3y=-17

Add 8 to each side- 3y=-9

And divide -9 by 3

This gets you y=-3
5 0
2 years ago
would you prefer to purchase a cheap car which cost more to operate or to purchase a expensive car which cost less to operate? w
alexandr402 [8]

Answer: Expensive car which cost less to operate.


Step-by-step explanation: When purchasing a new expensive car it is much more reliable, the risk you run with buying a used car is it breaking down on you while you are driving. Much less likely to happen with a new car.


5 0
3 years ago
Other questions:
  • At a frisbee-throwing competition, one contestant threw a frisbee 113.47 meters.
    8·1 answer
  • The data shows the height in inches of students in Ms. Williams math class. Identify the outlier. 40, 37, 39, 40, 42, 38, 38, 37
    5·1 answer
  • Find the slope of the line that passes through the points (-1,8) and (3, -4). Is this slope greater than, less than, or equal to
    12·2 answers
  • Where would you use an inequality in the real world
    15·2 answers
  • If the mean of 6 numbers increased by 3, by how much would the sum of
    8·1 answer
  • Pls answer number 6 fast pls someone help
    9·2 answers
  • Carson's wheelbarrow can hold 345 pounds. He has p pounds of rocks in his wheelbarrow. Write the inequality to represent this si
    13·1 answer
  • Pleaseee help I’m really not sure
    14·1 answer
  • Triangle ABC is graphed on the coordinate plane below.
    10·1 answer
  • Can anyone tell me the standard form of this parabola equation?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!