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
tia_tia [17]
3 years ago
6

Which number line shows the solution set for |p-3|=9?

Mathematics
1 answer:
Mademuasel [1]3 years ago
3 0

Answer:

Option b

p = -6 or p = 12

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function f(x) = |x|  x> 0 for all real numbers.

Then the equation:

|p-3| = 9 has two cases

(p-3) = 9    if h > 3  (i)

-(p-3) = 9    if h < 3 (ii)

We solve the case (i)

p = 9 + 3\\p = 12

We solve the case (ii)

-p +3 = 9\\p = 3-9\\p = -6

Then the solution is:

p = -6 or p = 12

You might be interested in
What is the highest number known to man
dimaraw [331]

Answer:

Infinity

Step-by-step explanation:

You cannot go higher than this

7 0
3 years ago
Read 2 more answers
Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6
Alla [95]

Given:

The expression is:

2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

m+n=-6

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

P(x)=2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

P(2)=P(-1)              ...(i)

Substituting x=-1 in the given polynomial.

P(-1)=2(-1)^3+m(-1)^2+n(-1)+c

P(-1)=-2+m-n+c

Substituting x=2 in the given polynomial.

P(2)=2(2)^3+m(2)^2+n(2)+c

P(2)=2(8)+m(4)+2n+c

P(2)=16+4m+2n+c

Now, substitute the values of P(2) and P(-1) in (i), we get

16+4m+2n+c=-2+m-n+c

16+4m+2n+c+2-m+n-c=0

18+3m+3n=0

3m+3n=-18

Divide both sides by 3.

\dfrac{3m+3n}{3}=\dfrac{-18}{3}

m+n=-6

Hence proved.

7 0
2 years ago
Please help with question got stuck
julsineya [31]

Answer:

y=4x

Step-by-step explanation:

8 0
2 years ago
If a woman get 7000 dollars for every 3 hour how much will she make for 81 hours
vovikov84 [41]

Answer:

567000 dollars

Step-by-step explanation:

Straightforward if 7000 for 3 hours then 3*27=81 and 7000*81=567000

5 0
2 years ago
Read 2 more answers
(02.01 LC)
NeTakaya
Angle C prime D prime and A prime
4 0
3 years ago
Read 2 more answers
Other questions:
  • Two friends mix blue paint and yellow paint to make batches of green paint, as shown in the tables. Jarrod Cups Blue Cups Yellow
    11·2 answers
  • A dime weighs about 1/12 ounce. Jody has 1 pound (16 ounces) of dimes. About how many dimes she has?
    5·2 answers
  • A recent survey of cell phone users indicated that 56 percent of the respondents prefer to use cell phones for texting rather th
    9·2 answers
  • Two scientists are running experiments testing the effects of a vaccine on different control groups. The results are shown in th
    15·2 answers
  • 8n + 12 - 5n = 21<br> n=?
    10·2 answers
  • HELP ME ASAP! PLS!!!!
    6·2 answers
  • An online music club sells compact discs for $13.95 each plus $1.95 shopping and handling per order. If Maria’s total bill was $
    9·1 answer
  • HELP AND YOU WILL GET BRAINLIEST!!!!!!!!
    6·2 answers
  • An online camping supplies outlet charges $14 for a canteen,
    9·1 answer
  • What number is 5he same ratio to 64 as 5 is to 8
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!