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
DaniilM [7]
4 years ago
12

How many integers $n$ satisfy the inequality $3n^2 - 4 \le 44$?

Mathematics
2 answers:
FromTheMoon [43]4 years ago
8 0

Answer:

7 integers

Step-by-step explanation:

The inequality to solve is  3n^2-4

We can do algebra and solve this:

3n^2-4

If we solve 3n^2-48=0, we will get the intercepts. So:

3n^2-48=0\\3(n^2-16)=0\\n^2-16=0\\n^2=16\\n=4,-4

<em>Since, the inequality is less than, the solution set is all numbers between -4 and 4. So</em>

<em>-4 < n < 4</em>

<em />

<em>*note: -4 and 4 is NOT included, so the integers in the range are:</em>

<em>-3, -2, -1, 0, 1 , 2, 3</em>

<em>Which is </em><em>7 integers.</em>

Softa [21]4 years ago
8 0

Answer:

7

Step-by-step explanation:

You might be interested in
Write a sequence that has two arithmetic means between 9 and 24.
OleMash [197]

Answer: 9, 14, 19, 24.

8 0
3 years ago
Y=−2x+4<br> Complete the missing value in the solution to the equation.<br><br> (____,-2)
mestny [16]

(3, - 2)

given y = - 2, then

- 2x + 4 = - 2 ( solve for x )

subtract 4 from both sides

- 2x = - 6 ( divide both sides by - 2 )

x = \frac{-6}{-2} = 3


3 0
3 years ago
Read 2 more answers
I've been looking in the study guide but can't find how to solve it
OLga [1]
The answer is -1/16 or -0.0625, do you need to see work?
6 0
3 years ago
Read 2 more answers
What is the best order-of-magnitude for 0.000006?
seraphim [82]
So,

Optimally, we want a number between 1 and 10 multiplied by a power of ten.

If we move the decimal place 6 places to the right, we get 6.

So we want 10^{-6}.

The correct option is C.
7 0
4 years ago
Sally is making 15 individual blueberry cheesecakess. How many pounds of blueberries will be in each cheesecake if 514 pounds of
Ne4ueva [31]

Answer:

34.26

Step-by-step explanation:

514 divide by 15 cheesecakes is 34.26 repeating

6 0
3 years ago
Other questions:
  • Thanks for your answer.
    10·2 answers
  • Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
    7·1 answer
  • At the start of the month the value of the investment is 48.45. By the end of the month the value investment changed by a loss o
    8·1 answer
  • if 1 centimeter on the scale drawing represents 3 feet what will be the diameter of clarise's fish pond
    5·2 answers
  • Can someone help me please???
    14·1 answer
  • Please understand the explanation
    9·1 answer
  • Given ---AB || ---RS Prove: QA/QR = QB/QS
    15·1 answer
  • Which of the following is a point-slope equation for a line with the point
    15·1 answer
  • An egg carton holds 12 eggs. A breakfast buffet uses 96 eggs by
    11·1 answer
  • Card Name (APR %) Existing Balance Credit Limit
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!