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
Nimfa-mama [501]
3 years ago
12

Help with this math question please

Mathematics
1 answer:
Marat540 [252]3 years ago
8 0
Re-arranging the inequality to find the test points:

x- \frac{70}{x}\ \textless \ -3 \\  \\ 
 x- \frac{70}{x}+3\ \textless \ 0 \\  \\ 
 \frac{ x^{2} -70+3x}{x}\ \textless \ 0 \\  \\ 
 \frac{(x-7)(x+10)}{x}\ \textless \ 0

This means, we need to test the inequality for x = -10, x = 0 and x = 7

Since question assumes that x > 0, so we ignore the values less than 0.
So the test points are x = 0 and x = 7

At x = 0 the expression is undefined.
Between x = 0 and x = 7 the value of expression \frac{(x-7)(x+10)}{x} is negative. At x = 7 the value of expression is 0. Above x = 7 the value of expression is positive. 

So, the solution to the given inequality will be 0 < x < 7.
In Interval notation, the solution can be written as (0,7)
You might be interested in
How much paper will be needed to cover the cylinder shown?
Advocard [28]
A=2πrh+2πr2=2·π·6·25+2·π·6^2 so the answer is D
5 0
3 years ago
Read 2 more answers
3(c+5)=12. Distributive property
avanturin [10]

Answer:

c = -1

Step-by-step explanation:

3(c+5)=12

3 × c = 3c

3 × 5 = 15

3c + 15 = 12

<u>      - 15   -15</u>

   3c = -3

c = -3 ÷ 3 = -1

Check:

3(-1+5)=12

-3 + 15 = 12

6 0
3 years ago
Read 2 more answers
62 is 10 times larger than what?
NARA [144]
To find a number 10 times smaller than 62 simply move the decimal point one place to the left.

The decimal point in 62 is at the end of the number.    62. becomes 6.2 if we move the decimal one place back.
5 0
3 years ago
Read 2 more answers
For the function f(x)=3xsquared- 2x+5 find f(1) f(-2) and f(a)
Oksanka [162]
f(x)=3x^2-2x+5\\\\&#10;f(1):\ \ Substitude\ 1 \ as\ x\ into\ function:\\&#10;f(1)=3*1^2-2*1+5=3-2+5=\textbf{6}\\\\&#10;f(-2)\ \ Substitude\ x=-2\\&#10;f(-2)=3*(-2)^2-2*(-2)+5=3*4+4+5=12+4+5=\textbf{21}\\\\&#10;f(a)\ \ substitude\ x=a\\&#10;f(a)=\underline{3a^2-2a+5}
4 0
3 years ago
The complement of (10 Points)
loris [4]

Answer:

..?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • If a vsco girl walks 1.5 miles how many yards is that???? pls answer quickly pls​
    13·2 answers
  • How do you write out the domain and range of a function?
    10·1 answer
  • Hikers spent the following amounts of time (in minutes) to complete a nature hike:48, 46, 52, 57, 58, 52, 61, 56.
    5·2 answers
  • There are 20 boys and 25 girls in a classroom what is the ratio of girls to boys
    10·2 answers
  • <img src="https://tex.z-dn.net/?f=4%E2%88%9216%C3%B74%2B4%C2%B2" id="TexFormula1" title="4&minus;16&divide;4+4&sup2;" alt="4&min
    7·1 answer
  • What is the first quartile, Q1, of the following distribution?
    7·1 answer
  • Y = 2x + 6. If x = 5, how much is y?
    7·1 answer
  • An architect drew plans for an office building.
    15·1 answer
  • The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 33
    9·1 answer
  • I need help! Does anyone understand?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!