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
MAVERICK [17]
3 years ago
14

Solve the inequality. Enter any fractions as reduced improper fractions. 4x ≤ -2/5(6x + 6) The solution is _____​

Mathematics
1 answer:
Deffense [45]3 years ago
6 0

Answer:

x≤ -3/8

Step-by-step explanation:

4x\le \:-\frac{2}{5}\left(6x+6\right)\\

Expand ;

\mathrm{Expand\:}-\frac{2}{5}\left(6x+6\right):\quad -\frac{12}{5}x-\frac{12}{5}

4x\le \:-\frac{12}{5}x-\frac{12}{5}\\\\\mathrm{Add\:}\frac{12}{5}x\mathrm{\:to\:both\:sides}\\\\4x+\frac{12}{5}x\le \:-\frac{12}{5}x-\frac{12}{5}+\frac{12}{5}x

Simplify

\frac{32}{5}x\le \:-\frac{12}{5}\\\\Multiply \:both\:sides\:by\:5\\5\times\frac{32}{5}x\le \:5\left(-\frac{12}{5}\right)\\\\Simplify\\32x\le \:-12\\\\Divide \:both\:sides\:by\:32\\\frac{32x}{32}\le \frac{-12}{32}\\\\Simplify\\x\le \:-\frac{3}{8}

You might be interested in
Simplify each expression -(5p+3)
aniked [119]

Answer:

-5p-3

Step-by-step explanation:

use the distributive property

8 0
2 years ago
Find f(4) when f(x)=4x^2 - 2 x - 4
prisoha [69]

Answer:

52

Step-by-step explanation:

f(x)=4x^2-2x-4

f(4)=4(4)^2-2(4)-4 (I replaced x with (4) since we are to find f(4).)

f(4)=4(16)-2(4)-4    (By the order of operations, we take care of the exponents before whatever else we have here.)

f(4)=64-8-4           (By the order of operations, we take care of the multiplication as we see if left to right.)

f(4)=56-4              (By the order of operations, we perform addition/subtraction as we see it left to right.)

f(4)=52                 (This completes the simplification.)

We could have also put this in our calculator as:

4(4)^2 -  2(4)  -  4

This would have returned 52.

8 0
3 years ago
Tom sells baseball cards at 10 for 35 cents. Is that a better deal than 12 for 40 cents?
AVprozaik [17]
For either one of the deals, just find what one card equals and times it by how many cards the other equation has.

e.g. 0.35 cents divide by 10 = 0.035. And now, you times it by 12 since the other deal is 12 cards for 40 cents.

0.035 x 12 = 0.48

So, 10 cards for 35 cents is not the better deal.
7 0
3 years ago
Read 2 more answers
All of the following types of graphs are used to represent numerical data except a _____.
tester [92]
I am unsure but i think the answer is c or a but let me know if i'm right or wrong
7 0
3 years ago
Read 2 more answers
What is the definittion of a right angle
raketka [301]
<span>an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.</span>
3 0
3 years ago
Other questions:
  • What do the factors (x+2)(-8x+70)in the factored form represent?
    5·1 answer
  • (3 x 6) = 10 x _____ = ____
    6·1 answer
  • 1624 ÷ 3 what's the correct answer
    5·1 answer
  • Name the vertex and sides of each angle
    11·1 answer
  • Put into scientific notation 2910000
    9·1 answer
  • Is 9,13,16 a right triangle
    6·1 answer
  • What is the average of 80 and 31?
    13·1 answer
  • Freeeee points
    8·1 answer
  • *PLEASE ANSWER!!, I DONT GET IT*
    11·2 answers
  • 25 yd. 4 in. Divided by 8
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!