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
Arada [10]
2 years ago
7

(Look at photo)

Mathematics
1 answer:
Lorico [155]2 years ago
3 0

Answer: Choice G   \left| \frac{p-n}{n} \right|

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

Explanation:

Pick a positive number for p, and a negative value for n. Make sure that p is further away from 0 than n is (so that |p| > |n| is a true statement).

I'll go for these values

  • p = 5
  • n = -2

Replace every copy of p with 5, and replace every copy of n with -2. Then evaluate or simplify. Use your calculator if needed.

Let's start with choice F.

F = \left| \frac{p-n}{p} \right|\\\\F = \left| \frac{5-(-2)}{5} \right|\\\\F = \left| \frac{5+2}{5} \right|\\\\F = \left| \frac{7}{5} \right|\\\\F = \left| 1.4 \right|\\\\F = 1.4\\\\

Now onto choice G

G = \left| \frac{p-n}{n} \right|\\\\G = \left| \frac{5-(-2)}{-2} \right|\\\\G = \left| \frac{5+2}{-2} \right|\\\\G = \left| \frac{7}{-2} \right|\\\\G = \left| -3.5 \right|\\\\G = 3.5\\\\

Next up is evaluating the expression for choice H.

H =  \left| \frac{p+n}{p-n} \right|\\\\H =  \left| \frac{5+(-2)}{5-(-2)} \right|\\\\H =  \left| \frac{5-2}{5+2} \right|\\\\H =  \left| \frac{3}{7} \right|\\\\H \approx \left| 0.4286\right|\\\\H \approx 0.4286\\\\

Then let's compute expression J.

J =  \left| \frac{p+n}{p} \right|\\\\J =  \left| \frac{5+(-2)}{5} \right|\\\\J =  \left| \frac{5-2}{5} \right|\\\\J =  \left| \frac{3}{5} \right|\\\\J =  \left| 0.6 \right|\\\\J =  0.6\\\\

Lastly, compute expression K.

K = \left| \frac{p+n}{n} \right|\\\\K = \left| \frac{5+(-2)}{-2} \right|\\\\K = \left| \frac{5-2}{-2} \right|\\\\K = \left| \frac{3}{-2} \right|\\\\K = \left| -1.5 \right|\\\\K = 1.5\\\\

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

To summarize, when plugging p = 5 and n = -2 into each expression, we got these results:

  • F = 1.4
  • G = 3.5
  • H = 0.4286 (approximate)
  • J = 0.6
  • K = 1.5

Expression G leads to the largest output.

Therefore, \left| \frac{p-n}{n} \right| has the largest value when p > 0 and n < 0.

You might be interested in
How to solve -8-7x+5=4
Vlad1618 [11]
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation for example : -8-7x+-5(4)=0 . But the zero turned to -1 because a non zero constant never equals 0,but the problem doesn’t have a solution, but the answer is -1
3 0
3 years ago
4 + h - 8 - h expression
Bond [772]
4+h+-8+-h

(h+-h)+(4+-8)

Answer is =-4
6 0
3 years ago
16. Max is sitting in the stands at the baseball stadium. He catches a
Margaret [11]
Feet, what is the angle of desperation fromax 678
4 0
3 years ago
Which operation should be used to solve x - 5 = 12?
Arlecino [84]

Answer:

addition

Step-by-step explanation:

if u add 5 to both sides, the -5 and the +5 would cancel out, leaving you with x=17

5 0
3 years ago
Read 2 more answers
Estimate the sum of 489 + 749
TEA [102]
The answer would be 1100 because all u have to do is 7 plus 4 and add 2 zeros at the end
5 0
3 years ago
Read 2 more answers
Other questions:
  • .
    14·1 answer
  • It is about maths/Es sobre mates<br> 1/2+1/8:(6-7/4:2)-1/41
    13·1 answer
  • Convert 45°C to Fahrenheit using the formula F= 5 C + 32.
    9·1 answer
  • There are 12 students in the gym class. If 4 students can sit on 1 bench, how many benches are needed for all students ?
    11·2 answers
  • Please Help I WILL MAKE YOU BRAINLIEST!!<br> The question is in the picture!!
    11·2 answers
  • Find the factor of 12 x square - 7 x + 1​
    6·1 answer
  • Researchers randomly studied the relationship, if any, between male and female grade point averages in a population of seniors w
    6·1 answer
  • Marc has 45 CDs in his collection, and Corinna has 61. If Marc buys 4 new CDs each month and Corinna buys 2 new CDs each month,
    11·1 answer
  • Write the equation of the line passing through the points (15,3) and (-3, -3).​
    13·2 answers
  • 8th grade word problem, show steps please (will give brainiest) :)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!