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
Likurg_2 [28]
3 years ago
6

Solve |1 - 4x| > 7 and Solve |5x - 1| < 1 PLEASE EXPLAIN!

Mathematics
1 answer:
denis-greek [22]3 years ago
3 0
Since |1-4x|>7 it can also be 1-4x<-7
so you get 1-4x>7 then get the x by its self -4x>7 then you make the x positive. multiply by -1 so you switch the sign 4x<7 divid by 4 and you get x<7/4 now you go on to the other equation 1-4x<-7 you get the x by itself and get -4x<-8 and multiply by -1 to get a positive number so you swith the sign 4x>8 so you didid by 4 and get x>2 so you get an interval notation of (-infinity,7/4) u (2,+infinity)

the |5x-1|<1 interval notation is (-2/5 ,0)
You might be interested in
An opaque cylindrical tank with an open top has a diameter of 3.25 m and is completely filled with water. When the afternoon Sun
kicyunya [14]

Answer:

10.69

Step-by-step explanation:

We must first know that the angle of refraction is given by the following equation:

n_water * sin (A_water) = n_air * sin (A_air)

where n is the refractive index, for water it is 1.33 and for air it is 1.

The angle (A) in the air is 22.8 °, and that of the water is unknown.

Replacing these values we have to:

1.33 * sin (A_water) = 1 * 0.387

sin (A_water) = 1 * 0.387 / 1.33

A_water = arc sin (0.2907) = 16.9 °

now for the tank depth:

h = D / tan (A_water)

D = 3.25

Replacing

h = 3.25 / tan 16.9 °

h = 10.69

Therefore the depth is 10.69 meters.

6 0
3 years ago
Mary has 12 marbles 3/12 of the marbles are yellow 2/12 of the Marvels are blue The rest of the marbles are green How many marbl
Oxana [17]

Answer: 7 marbles are green.

Step-by-step explanation:

      Since we have 12 marbles in total, 12/12 = 1. Since the fractions have denominators of 12 as well, we can easily tell there are 3 yellow marbles (3/12) and there are 2 blue marbles (2/12).

      Lastly, we need to find how many are green. We can subtract the yellow and blue marbles from the total of 12 marbles.

12 - (3 + 2)

12 - (5)

7 marbles are green.

7 0
3 years ago
Read 2 more answers
Charla is finding points on a number line.
Natalija [7]

Answer:

Point C represents 2/3

5 0
3 years ago
What is average of 3 and 5​
vesna_86 [32]

Answer: 4

Step-by-step explanation: you add 5 and 3, then you divide by the number of numbers which is 2.

5 0
4 years ago
Read 2 more answers
You want to be able to withdraw $25,000 from your account each year for 25 years after you retire. You expect to retire in 15 ye
devlian [24]

Answer:

$375.49

Step-by-step explanation:

- This question tests our knowledge of annuities

-Given the desired final amount is $25,000, the term is n=25 and the interest rate is 4%, the principal amount invested can be calculated as:

A=\frac{P(1+i)^n-1}{i}\\\\25000=\frac{P(1.04)^{25}-1}{0.04}\\\\\\=375.49

Hence, the annual deposits are $375.49

5 0
3 years ago
Other questions:
  • Determine whether the sequence converges or diverges. If it converges, give the limit. 60, 10, five divided by three, five divid
    9·1 answer
  • Ms. Kendrick plans to buy a laptop for $1,345 in 12 weeks. She has already saved $145. How much should she save each week so she
    9·1 answer
  • 2 1/2 and 1/2 are reciprocals. True or false?
    14·1 answer
  • Marcie wants to enclose her yard with a fence. your yard is in the shape of a rectangle attached to a triangle. the formula for
    12·1 answer
  • If you are on a ship at sea navigating to a point that is 300 miles north and 400 miles west, find the distance from tour ship t
    8·1 answer
  • The graph below shows the solution to which system of inequalities?
    6·2 answers
  • What is the rate of change of the
    5·1 answer
  • ITS URGENT PLEASE HELP!!! I will give brainliest if correct! Someone please help?
    8·1 answer
  • Can anyone help ill give more points
    11·1 answer
  • Select all the decimals that round to 40 when they are rounded to the tens place.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!