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
Anastasy [175]
3 years ago
11

What is the solution to the inequality? -2/3(2x - 1/2) ≤ 1/5x - 1 Express your answer in interval notation.

Mathematics
1 answer:
almond37 [142]3 years ago
8 0

ANSWER


-\frac{2}{3}(2x-\frac{1}{2})\le \frac{1}{5}x-1


Multiply through by LCM of 15


(15) \times -\frac{2}{3}(2x-\frac{1}{2})\le 15(\frac{1}{5}x-1)





-10(2x-\frac{1}{2})\le 3x-15



Expand brackets to obtain,



-20x+5\le 3x-15



Group like terms



15+5\le 20x+3x




20\le 23x


\frac{20}{23}\le x




x\ge \frac{20}{23}


In interval form it is written as


[\frac{20}{23}, \infty)







You might be interested in
Find the value of x.
joja [24]

Answer:

x=45

Step-by-step explanation:

The angles are supplementary

45+3x=180

-45

3x=135

divide by 3

x=45

3 0
3 years ago
I meedddddddde helppp plsss pls
Marina86 [1]
Your answer is 300 miles
3 0
3 years ago
Find the reciprocal of 19/13
mariarad [96]

Answer:

13/19

Step-by-step explanation:

To find the reciprocal, flip the number.

The reciprocal of 19/13 is 13/19

~

7 0
3 years ago
Read 2 more answers
Which equation can be used to show the relationship between the circumference C and a diameter D of a circle
Firlakuza [10]
The diameter is the distance from one side of a circle to the other, if you cross through the center. The circumference is the distance around the circle. The circumference is equal to two time pi time the radius (C=2*pi*r)
3 0
3 years ago
Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


4 0
2 years ago
Other questions:
  • Find the gcf of 36 and 68
    15·1 answer
  • When we plot all the points that satisfy an equation or inequality we __ it.
    13·1 answer
  • What are the domain and range and asympote of h(x)=6^x -4?
    11·2 answers
  • Choose which function is represented by the graph
    15·2 answers
  • If 16 oz of granola cost 5.99 how much does 1 oz of granola cost?
    8·1 answer
  • The table below shows what 300 Boxer students ate for lunch on Friday. What is the ratio of the number of students who ate soup
    12·1 answer
  • Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.
    12·1 answer
  • What answer this is ?
    10·1 answer
  • Which is NOT true?<br> 11 = 11<br> 11 = 18 - 7<br> 11 + 5 = 15 + 11<br> 11 + 3 = 6 + 8
    11·2 answers
  • HELP ME (I WILL GIVE BRAINLIEST IF CORRECT)!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!