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
astraxan [27]
2 years ago
12

How many solutions are there if m < 0 and p > k ? p + m| x + n| = k

Mathematics
1 answer:
neonofarm [45]2 years ago
4 0

9514 1404 393

Answer:

  2

Step-by-step explanation:

The solutions are ...

  p +m|x +n| = k . . . . . given

  m|x +n| = k -p . . . . . . subtract p

  |x +n| = (k -p)/m = (p -k)/-m . . . . . . must have (p-k)/-m ≥ 0

  x = -n ± (p -k)/-m

For the given conditions, m < 0, p > k, we are guaranteed that (p-k)/-m > 0, so there are 2 solutions.

You might be interested in
What’s the missing leg length
kow [346]

Answer:

15

Step-by-step explanation:

pythag theorum

6 0
3 years ago
Read 2 more answers
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 28t2 – 24t, where t i
vekshin1

In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when t > 0

Profit after t months:

P(t) = t^4 - 10t^3 + 28t^2 - 24t

0 months:

This is P(0). So

P(0) = 0^4 - 10*0^3 + 28*0^2 - 24*0 = 0

1 month:

This is P(1). So

P(1) = 1^4 - 10*1^3 + 28*1^2 - 24*1 = -5

2 months:

This is P(2). So

P(2) = 2^4 - 10*2^3 + 28*2^2 - 24*2 = 0

3 months:

This is P(3). So

P(3) = 3^4 - 10*3^3 + 28*3^2 - 24*3 = -9

4 months:

This is P(4). So

P(4) = 4^4 - 10*4^3 + 28*4^2 - 24*4 = -32

5 months:

This is P(5). So

P(5) = 5^4 - 10*5^3 + 28*5^2 - 24*5 = -45

6 months:

This is P(6). So

P(6) = 6^4 - 10*6^3 + 28*6^2 - 24*6 = 0

7 months:

This is `P(7). So

P(7) = 7^4 - 10*7^3 + 28*7^2 - 24*7 = 175

After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.

For another example of a function involving numeric value, you can check brainly.com/question/24231879

8 0
3 years ago
Suppose it is known that 10% of all people in Texas have a specific blood type. Suppose we take a random sample of 500 Texas res
Mila [183]

Answer:

a) 50

b) 6.71

c) 0.0681

Step-by-step explanation:

check the attached file below

5 0
3 years ago
Need help with 12 plz
Flura [38]

Answer:

see below    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

HOUSE  - LIBRARY                            = 1 3/5 MILES

LIBRARY - MALL - KYLE'S HOUSE   =  1 1/3 + 4/5 = 4/3 + 4/5 =

                                                                    20/15 + 12/15 = 32/15 = 2 2/15 miles



8 0
3 years ago
Find the area of the figure.
SpyIntel [72]

Answer:

the length is 3

Step-by-step explanation:

length times 6 equals 2

6 divided by 2 equals 3

5 0
2 years ago
Other questions:
  • A toxic radioactive substance with a density of 2 milligrams per square centimeter is detected in the ventilating ducts of a nuc
    6·1 answer
  • Janet is designing a frame for a client. She wants to prove to her client that m∠1 = m∠3 in her sketch. What is the missing just
    7·2 answers
  • Half of a liter is equal to 16.91 ounces. How many ounces are there in 3 liters?
    9·2 answers
  • Maddy wrote a pattern starting at 3 and following the rule "add 2.". Ted wrote a pattern starting at 0 and following the rule "a
    6·2 answers
  • Simplify the expression.<br>13[6^2/(5^2-4^2)+9]<br><br> 181<br><br> 169<br><br> 26<br><br> 585
    11·1 answer
  • I WILL MARK BRAINIEST
    15·1 answer
  • Find the slope of the line that passes through (1, 15) (10, 8)
    10·2 answers
  • The circumference of a circle is 28.888 centimeters. What is the circle's radius?
    5·1 answer
  • How do you solve 57.82 divided by 0.784
    6·1 answer
  • Find the slope<br><br> -3/5<br><br> 3/5<br><br> 5/3<br><br> -5/3
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!