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
olga_2 [115]
4 years ago
13

Solve the inequality −x2<4

Mathematics
1 answer:
Sedaia [141]4 years ago
6 0
-------------------
−x * 2 < 4

-2x < 4

x > -4/2

x > -2
-------------------

-------------------
-x² < 4 has no solutions
-------------------
You might be interested in
Write the phrase as a mathematical expression. Use x as the variable.
11111nata11111 [884]

Answer:

4(2x+7) which is equal to 8x+28

4 0
1 year ago
If x^2+y^2=1, what is the largest possible value of |x|+|y|?
Marianna [84]

If <em>x</em>² + <em>y</em>² = 1, then <em>y</em> = ±√(1 - <em>x</em>²).

Let <em>f(x)</em> = |<em>x</em>| + |±√(1 - <em>x</em>²)| = |<em>x</em>| + √(1 - <em>x</em>²).

If <em>x</em> < 0, we have |<em>x</em>| = -<em>x</em> ; otherwise, if <em>x</em> ≥ 0, then |<em>x</em>| = <em>x</em>.

• Case 1: suppose <em>x</em> < 0. Then

<em>f(x)</em> = -<em>x</em> + √(1 - <em>x</em>²)

<em>f'(x)</em> = -1 - <em>x</em>/√(1 - <em>x</em>²) = 0   →   <em>x</em> = -1/√2   →   <em>y</em> = ±1/√2

• Case 2: suppose <em>x</em> ≥ 0. Then

<em>f(x)</em> = <em>x</em> + √(1 - <em>x</em>²)

<em>f'(x)</em> = 1 - <em>x</em>/√(1 - <em>x</em>²) = 0   →   <em>x</em> = 1/√2   →   <em>y</em> = ±1/√2

In either case, |<em>x</em>| = |<em>y</em>| = 1/√2, so the maximum value of their sum is 2/√2 = √2.

6 0
3 years ago
Complete the stem-and-leaf plot for the list of test grades.73, 42, 67, 78, 99, 84, 91, 82, 86, 94
evablogger [386]
Stem/leaf
4/2
5/
6/7
7/3,8
8/2,4,6
9/1,4
4 0
2 years ago
Solve the two-step equation. 5.1 = –3x – 4.2 1. Add 4.2 to both sides. 2. Divide both sides by -3. The solution is x = _________
Serggg [28]

Answer:

5.1 = -3x - 4.2

-3x - 4.2 = 5.1

-3x = 5.1 + 4.2

-3x = 9.3

x = 9.3/-3

x = -3.1

6 0
3 years ago
Read 2 more answers
633 divided by 3 long division pls I'm doing a test 5th grade kk​
solong [7]

hi!!

here is your answer

Answer:

221

Step-by-step explanation:

when you divide 633 by 3, you will get 211

hope it helps you ❤❤❤

3 0
3 years ago
Other questions:
  • The following data was collected from 10 visitors to Disneyland. A researcher stood at the entrance gate and interviewed the fir
    15·1 answer
  • A football quarterback enjoys practicing his long passes over 40 yards. He misses the first pass 40% of the time. When he misses
    12·2 answers
  • Are 55:100 and 66:120 equal
    12·1 answer
  • write an equation of the line that passes through -3,0 and has a slope of 6 put your answer in standard form
    9·1 answer
  • Which of the following is the equation of a line that is parallel to y=5x-3 and that passes through the point (2,5)
    10·1 answer
  • Brandy made a scale drawing of a house. The hall closet is 8 inches long in the drawing. The actual closet is 4 feet long. What
    15·1 answer
  • Word problem: if the mayor weighed 240 pounds and he lost 75.9738 how Mitch does he weigh now?
    9·2 answers
  • Mr. Brown chooses a fiction book at random from a list of books and then chooses a second fiction book from those remaining.
    5·2 answers
  • For school lunch students have 3 meat choices (beef, chicken, or fish), 2 potato choices (mashed or fried), and 3 drink choices
    14·2 answers
  • HELP PLEASE!!!!! i need to find the rate of change
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!