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
Dmitry_Shevchenko [17]
2 years ago
11

Which graph shows the solution to this system of inequalities? y>-1/3x+1 y>2x-3

Mathematics
1 answer:
Mademuasel [1]2 years ago
6 0

Given:

The system of inequalities is:

y>-\dfrac{1}{3}x+1

y>2x-3

To find:

The graph of the given system of inequalities.

Solution:

We have,

y>-\dfrac{1}{3}x+1

y>2x-3

The related equations are:

y=-\dfrac{1}{3}x+1

y=2x-3

Table of values for the given equations is:

    x                   y=-\dfrac{1}{3}x+1             y=2x-3

   0                             1                              -3

   3                             0                              3

Plot (0,1) and (3,0) and connect them by a straight line to get the graph of y=-\dfrac{1}{3}x+1.

Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of y=2x-3.

The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.

Therefore, the graph of the given system of inequalities is shown below.

You might be interested in
A swimming pool is filled with water by using two taps A and B. Alone, it takes tap A 3 hours less than B to fill the same pool.
iris [78.8K]

Answer:

Tap A 3hrs

Tap B 6hrs

Step-by-step explanation:

Let the volume of the swimming pool be Xm^3.

Now, to get the appropriate volume, we know we need to multiply the rate by the time. Let the rate of the taps be R1 and R2 respectively, while the time taken to fill the swimming pool be Ta and Tb respectively.

x/Ta= Ra

x/Tb= Rb

X/(Ra + Rb)= 2

Ta = Tb - 3

From equation 2:

X = 2( Ra + Rb)

Substituting the values of Ra and Rb Using the first set of equations

X = 2( x/Ta + x/Tb)

But Ta = Tb - 3

1/2 = 1/(Tb - 3)+ 1/Tb

0.5 = (Tb + Tb-3)/Tb(Tb - 3)

At this juncture let’s say Tb = y

0.5 = (2y - 3)/y(y - 3)

y(y-3 ) = 4y - 6

y^2 -3y - 4y + 6 = 0

y^2 -7y + 6= 0

Solving the quadratic equation, we get y =

y = Tb = 6hrs or 1hr

We remove one hour as we know that Tap A takes 3hrs left than tap B and there is nothing like negative hours

Now, we get Ta by Tb -3 = 6 - 3 = 3hrs

5 0
3 years ago
Write an algebraic expression for two fifths the cube of a number
pashok25 [27]
N - the number

\dfrac{2}{5}n^3
7 0
3 years ago
The line plot shows students favorite pizza toppings. Which can you find using the line plot: the median, mode, range, or outlie
DiKsa [7]

Answer:

The mode is pepperoni. This data set isn't numerical.

Step-by-step explanation:

The data set is skewed right.

7 0
3 years ago
Solve this quick. plz
bulgar [2K]
120

OA = OB

angle OAN = 90 degrees, so OAB and OBA is both 30 degrees.
6 0
2 years ago
I don’t understand this
zhuklara [117]

Answer:

i think it is the last one.

7 0
3 years ago
Other questions:
  • Simplify by combining like terms.<br> 3(-2y-9)-2y
    7·2 answers
  • You have a bag full of letters and they spell SUMMER what is the probability of grabbing an m?
    10·1 answer
  • A binomial of the 4th degree with a leading coefficient-2
    8·1 answer
  • If the points below represent a direct variation, find the missing value (5,14)and (x,28)
    7·1 answer
  • What is the area of the pentagon?
    15·1 answer
  • 63x + x2 -6x +7 x -3​
    10·2 answers
  • Does the function ƒ(x) = (1∕2) + 25 represent exponential growth, decay, or neither?
    9·1 answer
  • Bart Simpson can skateboard 4 miles in 56 minutes. How many miles can he skateboard in 42 minut
    14·2 answers
  • Can someone with the last question ​
    10·2 answers
  • Using the function g(x) = 0.4x - 1.8, what would the input need to be for an output of 4.6?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!