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
ArbitrLikvidat [17]
1 year ago
14

Using algebra, solve the inequality writing your answer in set notation. x²-x> 20

Mathematics
1 answer:
Xelga [282]1 year ago
3 0

Answer:

(-4, 0) U (1, ∞)

Step-by-step explanation:

Set each factor EQUAL to zero to find the zeroes (since it is not actually equal to zero, you will use an open circle when graphing and an open bracket when writing in interval notation).

x = 0           x-1 = 0             x + 4 = 0

                  x = 1                x = -4

Next, choose a value to the far left, between each of the zeroes, and to the far right to evaluate if it makes a true statement when input into the given inequality.

far left (I choose -5): -5(-5 - 1)(-5 + 4) > 0   →  (-)(-)(-) > 0  →   negative > 0  FALSE

- 4 to 0 (I choose -2): -2(-2 - 1)(-2 + 4) > 0   →  (-)(-)(+) > 0  →   positive > 0  TRUE

0 to 1 (I choose 0.5): .5(.5 - 1)(.5 + 4) > 0   →  (+)(-)(+) > 0  →   negative > 0  FALSE

far right (I choose 2): 2(2 - 1)(2 + 4) > 0   →  (+)(+)(+) > 0  →   positive > 0  TRUE

You might be interested in
angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 59^\circ59
Stels [109]

Answer:

Step-by-step explanation:

Ok can u tell me how to do dis pls

5 0
3 years ago
In a​ race, 49 out of the 50 bicyclists finished in less than 40 minutes. What percent of bicyclists finished the race in less t
rewona [7]

Answer:

24.5/25

Step-by-step explanation:

49/50 divided by 2 is 24.5/25

May not be correct but that's what I got

So I'd say 1%

8 0
2 years ago
You need to purchase supplies for the trip. You have $1000 to spend.
SCORPION-xisa [38]

Answer:

241.50

Step-by-step explanation:

Oxen= 40 x 2 = 80

Food=0.20 x 500 =100

Clothing = 10 x 5 = 50

total = 230

Tax= 5 percent x 230 divided by 100

= $11.50

230 +11.50

= 241.50

6 0
2 years ago
3.478 / 37 = ____ can someone explain how to do it I don't understand long division :,)
DiKsa [7]

Answer:

.094

Step-by-step explanation:

Long division is really annoying, so here we go. Have it written on your paper and follow along.

When doing long division, you want to ignore the decimal until the very end. So how many times does 37 fit into 34? It doesn't, so write a 0 on top. Instead ask how many times it can fit into 347. It can only fit 9 times, so write the 9 next to the 0. Now multiply 37 times 9, since it can fit in 9 times. Place that number (333) under the 347. Subtract that and write the new number underneath (14). Bring down the 8 and add it to the end of your new number (now 148). How many times does 37 fit into 148? It goes in 4 times perfectly. Write the 4 on top, and now multiply 4 times 37, since it goes in 4 times. Put that number (148) below the original 148, subtract, and they cancel out. You're done with the problem! Add the decimal back in. Since there 3 numbers after the decimal in 3.478, the decimal will go before 3 numbers in your answer. Hope this helped!

5 0
3 years ago
If x/y + y/x = -1 , ( x unequal y, y unequal 0) then the value of x^2 - y^2 is?
Maurinko [17]

Take your original equation \frac{x}{y} +\frac{y}{x} =-1

and multiply both sides by xy to remove the fractions. You are left with

x^2+y^2=-xy

So, x^2+y^2=-xy

Update: There is no numerical answer that can be found without being given a value for either x or y

3 0
3 years ago
Read 2 more answers
Other questions:
  • Help me please someone
    11·1 answer
  • Solve this system of equations<br><br> 3x-5y=7<br> 4x+10y=16
    10·1 answer
  • Find the distance between the points (2,10) and (-6,-7)
    13·1 answer
  • 6ft by 4ft by 12ft by 8ft by 4ft what is the answer
    8·2 answers
  • A half marothon is 13 miles, how many kilometers is that?
    9·1 answer
  • List all integers between -0.6 and 4.17<br> THANK U
    5·1 answer
  • Can someone find the answers of this Multiple Choice Questions for me?? Please!
    5·1 answer
  • Write an equation in slope intercept form plz help
    6·2 answers
  • 7 (m+5) = 21 <br> as a step by step problem?
    10·2 answers
  • Round your answer to the nearest tenth if necessary. Use 3.14 for .
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!