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
lapo4ka [179]
3 years ago
15

. 1−|3p+1|=−3! Thank you

Mathematics
1 answer:
inn [45]3 years ago
6 0

Answer:

p = - \frac{5}{3}, p = 1

Step-by-step explanation:

Given

1 - | 3p + 1 | = - 3 ( subtract 1 from both sides )

- | 3p + 1 | = - 4 ( multiply both sides by - 1 )

| 3p + 1 | = 4

The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus

3p + 1 = 4 OR - (3p + 1) = 4

Subtract 1 from both sides

3p = 3 ( divide both sides by 3 )

p = 1

OR

- (3p + 1) = 4, that is

- 3p - 1 = 4 ( add 1 to both sides )

- 3p = 5 ( divide both sides by - 3 )

p = - \frac{5}{3}

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions

p = 1 : 1 - | 3 + 1 | = 1 - |4| = 1 - 4 = - 3 ← true

p = - \frac{5}{3} : 1 - | - 5 + 1 | = 1 - | - 4 | = 1 - 4 = - 3 ← true

Thus the solutions are p = 1, p = - \frac{5}{3}

You might be interested in
Select all of the ordered pairs that make the inequality y > x2 + 3x – 4 true. (0, 0) (2, 1) (–2, –1) (–5, –1)
sergeinik [125]

Answer:

4times1/4(y-(-25/4))=(x-(-3/2)) small 2

4p(y-k)=(x-h)small 2

something like that I belive

or just y>xsmall2+3x-4

7 0
3 years ago
Read 2 more answers
What times two equals 148
Ratling [72]
That would be 74 because when you divide 148/2=74
3 0
3 years ago
Read 2 more answers
Please help me asap!
poizon [28]

Answer:

24 units

Step-by-step explanation:

Given is a circle with two chord BE and CD

BE and CD intersect at A

By circle chords intersection theorem we have

DA*AC = EA*AB

i.e. 8(15) = 5(AB)

Divide by 5 both the sides

AB =8(15)/5 = 8(3) = 24 units

Verify:

Let us check now whether chord intersection theorem is satisfied.

DA*AC = 8(15) = 120

EA*AB = 5(24) = 120

Since these two equal, we verify that answer is right.


8 0
3 years ago
What do you need to know in order to do a rotation? Complete a rotation of your choice and identify the rule for this
Maurinko [17]
You are suppose to use a ruler to rotate the thing you need to rotate
6 0
3 years ago
What is the simplest form of 7 and eight tenths
yarga [219]

Answer:

7/10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • There are 2,475 books in total in the library.
    7·1 answer
  • Mr. Smith ate a snack with 80.79 total calories. If the chips he ate were 43.39 calories, how
    6·1 answer
  • Consider ΔDEF with centroid at point G and median EH. What is GH, if EG=3x+4 and GH=x+10?
    8·1 answer
  • Help mee!!!!!!!!!!!!
    14·2 answers
  • ) The point Q15, 1) is rotated 270° clockwise around the origin. What are the coordinates
    11·1 answer
  • A polygon with all equal side is called?​
    14·1 answer
  • Please answer this correctly
    8·2 answers
  • Solve the system by substitution!
    10·1 answer
  • Which are vertical angles to 4?
    12·1 answer
  • Which expression is equivalent to 3.5 B +4.5+0.5 B -0.5-1.5 B?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!