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
andre [41]
3 years ago
9

Solve the inequality

Formula1" title=" \frac{2x}{x + 3} \leqslant 3" alt=" \frac{2x}{x + 3} \leqslant 3" align="absmiddle" class="latex-formula">
The solution set is

Mathematics
1 answer:
Fofino [41]3 years ago
3 0

Domain:x\neq-3\\\\\dfrac{2x}{x+3}\leq3\qquad\text{subtract 3 from both sides}\\\\\dfrac{2x}{x+3}-3\leq0\\\\\dfrac{2x}{x+3}-\dfrac{3(x+3)}{x+3}\leq0\\\\\dfrac{2x}{x+3}-\dfrac{3x+9}{x+3}\leq0\\\\\dfrac{2x-(3x+9)}{x+3}\leq0\\\\\dfrac{2x-3x-9}{x+3}\leq0\\\\\dfrac{-x-9}{x+3}\leq0\Rightarrow(x+3)(-x-9)\leq0\\\\x=-3,\ x=-9\\\\x\in(-\infty,\ -9]\ \cup\ (-3,\ \infty)

You might be interested in
There are 60 tables in a restaurant, with 25% of them seating 2 people. The tables remaining seat 4 people. How many seats are t
matrenka [14]
60 x .25 = 15 seat 2 people each.
60 - 15 = 45 remaining tables seat 4 people each.
15 x 2 = 30
45 x 4 = 180
180 + 30 = 210 seats
5 0
3 years ago
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!
Aneli [31]

Answer:

5

Step-by-step explanation:

(125) ^ 1/3

What number multiplied by itself 3 times is 125

5*5*5

25*5

125

6 0
3 years ago
Read 2 more answers
 the number of Significant Figures in 13410000 *​
-BARSIC- [3]

Answer:

hhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

hhhhhhhhhhhh

3 0
2 years ago
Read 2 more answers
A slow pitch softball diamond is actually a square 60 ft on a side. how far is it from home to second ​base?
krek1111 [17]
For this case we have a square whose sides are known and equal to 60 ft.
 We want to find the diagonal of the square.
 For this, we use the Pythagorean theorem.
 We have then:
 d^2 = 60^2 + 60^2

d =  \sqrt{60^2 + 60^2}

 d =  \sqrt{3600 + 3600}

d = \sqrt{2*3600}

d = 60\sqrt{2}

 Answer:
 
from home to second ​base it is about:
 d = 60\sqrt{2} feet
3 0
3 years ago
Find the surface area of the prism.
8_murik_8 [283]

Answer:

148^2

Step-by-step explanation:

2(lb+bh+lh) = 2(4*5+5*6+4*6)=148 in^2

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is the area of the figure? How do you find it?
    8·1 answer
  • What is the center and radius of this circle
    7·1 answer
  • Which of the following points is a solution of y &gt; |x| + 5? <br><br> 0,5<br> 1,7<br> 7,1
    9·1 answer
  • 5+5times8+9-10times 100
    13·2 answers
  • Harry rides his bike 25 3 over 8<br> karen rides her bike 25 3 over 8<br> Who rode further
    12·1 answer
  • Which of the following is equivalent to: 6 - 2x &gt; 3(4x - 2)?
    8·1 answer
  • What plus what equals 500
    11·2 answers
  • For an angle Θ with the point (5, -12) on its terminating side, what is the value of cosine
    7·1 answer
  • an unopened can of iced tea contains 350 cubic centimeters of liquid. if the van is 5 inches long and has a .8 inch diameter, wh
    11·1 answer
  • a shipping box has the dimensions of 12inches, 16 inches, and 24 inches. what is the length of the longest item that could fit i
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!