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
Marina86 [1]
2 years ago
8

The equation x^3-5x=59 has a solution between 4and 5 . Use trail and improvement method. Give your answer to 1 decimal place.

Mathematics
1 answer:
3241004551 [841]2 years ago
5 0

Answer:

4.3 to 1 decimal place.

Step-by-step explanation:

x^3 - 5x - 59 = 0

Try x = 4.1:

f(4.1) = (4.1)^3 - 5(4.1) - 59 = -10.579

Try: 4.2:

f(4.2) = 4.2^3 - 5(4.2) - 59 = -5.912,  Try x = 4.3:

f(4.3) = -0.993 (getting closer to 0!!)

f(4.4) = 4.184

NOTICE - there is a change of sign in the result so the root lies between 4.3 and 4.4.

Try x = 4.35:

f(4.35) = 1.563  so it looks like the root is closer to 4.3 than 4.4 because 1.563 is closer to zero than 4.184.

Just to double check let's calculate x = 4.32:

f(4.32) = 0.0216 - which is very close to zero.

So the answer is 4.3 to 1 decimal  place.

(I've checked it out on my calculator - the root is 4.31958).

You might be interested in
If 3 students make up 10% of the class, how many students are there total in the class?
stealth61 [152]

Answer:

30 students

Step-by-step explanation:

3 students = 10% of the class.

x students = 90% of the class.

(If more, less divides. Let x be the subject. Since we know 10% of the class already, we have to find the remaining 90% that is 100% - 10% = 90%.)

x = 90%/ 10% × 3 students. ( the percentage signs cancel out and so do the zero's.)

x= 9/1 × 3 students ( 9/1 is the same as 9)

x= 27 students

(To find the total, you must add the 10% of the students to the remaining 90% of the students in the class.)

Total number of students in the class = 27 students + 3 students

= 30 students

7 0
2 years ago
A rectangular prism has a volume of 160 cm. The height of the prism is 5 cm. The length is twice the width. What are the dimensi
Westkost [7]
The answer to your question is 8*5*4.
8*5=40                                                                                                                 
40*4=160                                                                                                               8 is twice of 4. the length is twice the width.
5 0
3 years ago
Please explain how you get the answer to...<br> a+2a+7+4a-8
sammy [17]

Answer:

9+2a+7+4a-8

2a+16+4a-8

2a+8+4a

6a+8

Step-by-step explanation:

you can't really get an answer for this problem but you can simplify it

8 0
2 years ago
Which numbers should be multiplied to obtain 175^2 − 124^22?
agasfer [191]
This question seems to me to be an exercise in applying the rule for a difference of squares in order to rewrite the difference of two relatively large numbers as the "simpler" product of other integers.


175^2-124^2=(175-124)(175+124)=51\cdot299=15,249
3 0
3 years ago
J &amp; J’s Landscaping Co. makes about $320 a weekday, and ends up with weekly expenses of $1000. How much profit do they expec
guajiro [1.7K]
The answer is D. 320x 5 the. subtract 1000
8 0
2 years ago
Other questions:
  • Which graph below does not represent a function?
    9·2 answers
  • A walking path across a park is represented by the equation y= -3x - 6 . A new path will be built perpendicular to this path. Th
    7·1 answer
  • M = y2 - y1 / x2 - x1 What is the slope of line JK? A) 5/9 B) 9/5 C) -5/9 D) -9/5
    15·2 answers
  • How many 1/8 pound servings of walnuts, s , are in 3/4 pound of walnuts?
    6·2 answers
  • Latoya drove 210 miles using 9 gallons of gas. At this rate how many gallons of gas would she need to drive 413 miles?
    14·1 answer
  • If 30 Coins In Quarters And Dimes Are Worth $4.80, How Many Of Each Coin Are There?​
    13·1 answer
  • Tia, from the blog "Talk to Tia," asked her readers, "If you had to do it over again, would you take more college prep courses i
    7·2 answers
  • Khairul deposited $600 in a bank at the end of 2010 and another $400 in the same bank at the end of 2011. The bank offers simple
    10·2 answers
  • For estimation purposes, the shape formed by the sectors is considered to be a parallelogram. Which statement is true?
    6·2 answers
  • I need these answered today please! Make sure to show the work as well.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!