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
avanturin [10]
3 years ago
15

Given the system of inequalities:

Mathematics
2 answers:
Margaret [11]3 years ago
8 0
Answer:
First inequality: y > \frac{4}{5} x - \frac{1}{5}
Second inequality: y < 3 + x

Explanation:
The inequality in slope-intercept form has the following general formula:
y < mx + c or y > mx + c (according to the given sign)
where m is the slope and c is the y-intercept

This means that to get any inequality in slope-intercept form, we will have to isolate the y on one side of the inequality.

First given inequality:
4x - 5y < 1
4x - 5y + 5y < 1 + 5y
1 + 5y > 4x
1 + 5y - 1 > 4x - 1
5y > 4x - 1
y > \frac{4}{5} x -  \frac{1}{5}
comparing this to the general form, we would find that:
slope (m) = 4/5
y-intercept (c) = 1/5

Second given inequality:
y - x < 3
y - x + x < 3 + x
y < 3 + x
comparing this to the general form, we would find that:
slope (m) = 1
y-intercept (c) = 3

Hope this helps :)
ss7ja [257]3 years ago
5 0

Answer:

B

Step-by-step explanation:

You might be interested in
The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its wei
IrinaVladis [17]

Answer:

  • 3/5 kg

Step-by-step explanation:

The weight of an object on Moon is 6 times smaller than same on Earth.

<u>If it weights 18/5 kg on Earth then its weight  on Moon is:</u>

  • 18/5 * 1/6 = 3/5 kg
4 0
2 years ago
Read 2 more answers
The function T(n) is defined below. Which of the following are equal to T(8)? Check all that apply. T(n) = 4n - 5
Klio2033 [76]
T(n)=4n-5\\\\T(8)=4\cdot8-5=32-5=27\\\\T(5)+T(3)=4\cdot5-5+4\cdot3-5=20-5+12-5=22\neqT(8)\\\\T(7)+4=4\cdot7-5+4=28-5+4=27\\\\Answer:\\B.\ 27\\D.\ T(7)+4
3 0
3 years ago
Can someone help me?<br><br><br>2x-3y= -1 <br>y=x-1<br><br>​
MrRissso [65]
X=4 & y=3

Explanation:

Picture
5 0
1 year ago
Solve for x, 0 ≤ x ≤2π (2cosx-1)(2sinx+√3 ) = 0
vladimir1956 [14]

Answer:

x = π/3, x = 5π/3, x = 4π/3

Step-by-step explanation:

Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3  = 0.

2\cos \left(x\right)-1=0,\\2\cos \left(x\right)=1,\\\cos \left(x\right)=\frac{1}{2}

Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.

Similarly:

\:2\sin \left(x\right)+\sqrt{3}=0,\\2\sin \left(x\right)=-\sqrt{3},\\\sin \left(x\right)=-\frac{\sqrt{3}}{2}

The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.

So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.

5 0
3 years ago
Solve the following system of inequalities graphically on the set of axes below. State
tankabanditka [31]

Answer:

The answer is definitely C

Step-by-step explanation:

Following the system of inequalities will graph this solution best on the graph, it is the inequality represented in the graph.

ur wlcm :)

correct me if im wrong

brainliest please?

6 0
2 years ago
Other questions:
  • PLEASE HELP ASAP!!!!!!! 20 POINTS
    11·1 answer
  • A teacher needs to find out how many seventh graders will be going on a field trip. Which best describes the population that the
    10·2 answers
  • Round the number to the place of the underlined digit.<br><br> 0.758
    15·1 answer
  • Suppose that a manufacturer is testing one of its machines to make sure that the machine is producing more than​ 97% good parts
    5·1 answer
  • Kim kept track of how much cereal she ate for 2 months and found that she ate 256 ounces of cereal in that time. How many pounds
    11·2 answers
  • Without subtracting 360 from 9pi/4, how is 9pi/4 equal to 2pi + pi/4?
    8·1 answer
  • Check out the Points Scored by Lebron James during his 2012 season: 10,11.15, 18, 20, 20, 21,23, 24, 24, 26
    7·2 answers
  • A coin jar contains 10 quarters, 6 dimes, and 8 nickels. Find the probability that a dime is chosen at random from the jar and t
    13·1 answer
  • Tiana’s car traveled 111 miles on 3/8 of a tank of gas. How far will she be able to go on a full tank of gas?
    6·1 answer
  • Choose all the numbers that are common multiples of 3 and 12.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!