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
yulyashka [42]
3 years ago
11

G(x) = 35x^2– 48x – 27; 7x + 3 how do i solve this using long division?

Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0

35<em>x</em>² = 7<em>x</em> • 5<em>x</em>, and

5<em>x</em> (7<em>x</em> + 3) = 35<em>x</em>² + 15<em>x</em>

Subtract this from the dividend to get an initial remainder of

(35<em>x</em>² - 48<em>x</em> - 27) - (35<em>x</em>² + 15<em>x</em>) = -63<em>x</em> - 27

-63<em>x</em> = 7<em>x</em> • (-9), and

-9 (7<em>x</em> + 3) = -63<em>x</em> - 27

Subtract this from the previous remainder to get a new one of

(-63<em>x</em> - 27) - (-63<em>x</em> - 27) = 0

and we're done.

Now just gather the terms in bold (and the remainder, but since it's 0 we leave it out). So we have

(35<em>x</em>² - 48<em>x</em> - 27) / (7<em>x</em> + 3) = 5<em>x</em> - (63<em>x</em> + 27) / (7<em>x</em> + 3)

(35<em>x</em>² - 48<em>x</em> - 27) / (7<em>x</em> + 3) = 5<em>x</em> - 9

You might be interested in
Phoebe took a survey of her classmates' favorite sport. The results are in the table below:
olga55 [171]

Answer:

.14

Step-by-step explanation:

7 0
3 years ago
Solve the following quadratic equation 3×^2-5=0
coldgirl [10]
ANSWER:

X= radical 15/3 , radical -15/3

Decimal form:

X=1.29099444
X=-1.29099444


MARK ME BRAINLIEST PLEASE
8 0
3 years ago
9/6=x/10 what is x? How to figure it out.
skelet666 [1.2K]

Answer:

x=15

Step-by-step explanation:

(10*9)/6=10*x/10

90/6=x

15=x

4 0
3 years ago
A man has 33 coins in his pocket, all of which are dimes and quarters. If the total value of his change
kupik [55]

Answer:

Number of dimes = 16

Number of quarters = 17

====================================================

Work Shown:

d = number of dimes

q = number of quarters

d+q = 33 coins total, this solves to d = 33-q

10d = value of all the dimes in cents

25q = value of all the quarters in cents

10d+25q = 585 cents total

--------------

Plug in d = 33-q and solve for q

10d+25q = 585

10(33-q) + 25q = 585

330-10q+25q = 585

15q+330 = 585

15q = 585-330

15q = 255

q = 255/15

q = 17

The man has 17 quarters

d = 33-q = 33-17 = 16

He also has 16 dimes.

--------------

Check:

16 dimes + 17 quarters = 33 coins total

16 dimes = 16*10 = 160 cents

17 quarters = 17*25 = 425 cents

160 cents + 425 cents = 585 cents

The answer is confirmed.

3 0
2 years ago
15=―2<br><br>a. x = 7.5b. x = -7.5c. x = d. ―215=215​
skad [1K]

Answer:

i think it is a

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • it takes one printer, working alone, 9 h longer to print a payroll than it takes a second printer. working together, the printer
    12·1 answer
  • Which of the following best describes the graph of the polynomial function below?
    15·2 answers
  • Solve the equality for z z+8&gt;12 Simplfy your answer as much as possible
    14·1 answer
  • 7/12 × 3/7 × 1/2 = ? <br><br>Please include steps!!!!!
    12·2 answers
  • Please Help!!! Braniest!!!!
    5·1 answer
  • What is the answer for 12
    9·1 answer
  • What is the slope of a line perpendicular to 24x-9y=63
    13·1 answer
  • Which graph represents the solutions of 0.8x - 0.6 ≥ 0.9x + 4.1?​
    5·1 answer
  • Help me get the anwser to this Equation
    5·1 answer
  • The two tables give the number of pints of red and blue paint that are used to make different amounts of two shades of purple pa
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!