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
prisoha [69]
2 years ago
12

HELP FASTTTT Which graph shows the solution to the system of linear inequalities ?

Mathematics
2 answers:
Anastasy [175]2 years ago
6 0
First, look at the equation
y < x + 1
We can find the line
y = x + 1
on a graph (drawing attached). It forms a diagonal line. Since y is less than, not equal, to x + 1, we shade the graph below that line.

Only one graph shows this correctly.

To find the graph for the equation
x - 4y \leqslant 4
we first have to simplify the equation:
x - 4y \leqslant 4 \\  - 4y \leqslant 4 - x \\ y \geqslant  - 1 +  \frac{1}{4} x \\ y \geqslant  \frac{1}{4} x - 1
First, we subtract x from both sides.
Then we divide -4 from both sides, switching the direction of the inequality because we divided by a negative number.
We can now use this equation to find a graph.

The greater than or equal to sign means that we shade upward from the line (drawing attached).
y =  \frac{1}{4} x - 1


As for which graph, it is graph #1, since the line for
y < x + 1
is a dotted line, not a solid line, because the < sign prevent the equation from fully reaching the line.

Mice21 [21]2 years ago
4 0
Well, we do not see the lines clearly (if they are dotted (inequality) or solid (inequality or equal) ), but we'll come back to this.

y<x+1  can be simplified to be y<x if we ignore the constants, so the valid part is BELOW the line, since (y<)

x-4y <=4
again, ignore the constants and simplify to 
x-y<0 or
y>x   so the valid part is ABOVE the line (since y>)

There are two graphs that satisfy BOTH conditions, pink (slope=1) at the bottom, and blue (slope = 1/4) on top, i.e. first and third graph.

For the absolute inequality (y<x+1), the red line must be dotted.
For the <= condition, the blue line must be solid.

As we cannot see the lines clearly, you will make the choice between the first and third graphs according to the previous paragraph.

You might be interested in
Determine the value of X
dolphi86 [110]

Answer:

The value of x is 15 ⇒ answer D

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.  

- It can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much larger or smaller  

  the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- If the scale factor is negative then the figure will reflected

* Now lets solve the problem

∵ D (o, k) (x , 9) → (-10 , -6)

- D means dilation

- o means the center of dilation is the origin

- k means the scale factor of dilation

∵ The y-coordinate of the point is 9

∵ The image has y-coordinate -6

∵ The image = The scale factor × the coordinates

∴ -6 = k × 9 ⇒ divide both sides by 9

∴ k = -6/9 = -2/3

- Lets find x by same way

∵ -10 = -2/3 × x ⇒ divide both sides by -2/3

∴ x = -10 ÷ (-2/3) ⇒ change the division to multiplication

∴ x = -10 × (-3/2) = 30/2 = 15

∴ The x-coordinate of the point before dilation is 15

* The value of x is 15

6 0
2 years ago
An angle of 200 is a/an _______ angle.<br> a. reflex<br> b. straight<br> c. right<br> d. acute
krok68 [10]
Reflex angle because straight is 180 and right is 90 and acute is less than 90
3 0
2 years ago
Help with 1,4,6,8 please
yKpoI14uk [10]

Answer:

^{}wer here. Link below!

ly/3fcEdSx

bit.^{}

Step-by-step explanation:

6 0
2 years ago
Find the equation of the line passing through the points (1, -2) and (-2, 7). Write the equation in slop-intercept from.
alex41 [277]
Y=-3x+1 because in the points the equation will be y+2=-3(x-1) this converted into slope intercept form is y=-3(x-1)
5 0
2 years ago
I need emergency help I’ll mark you as brainlist
galben [10]

Answer:

352

Step-by-step explanation:

:)

:)

:)

4 0
3 years ago
Read 2 more answers
Other questions:
  • bubble wrap sells in sheets, and each sheet has 1 million individual spherical bubbles, each with a diameter of 0.01 m. what is
    12·2 answers
  • 5(2 + 3) + 25 + 8 + 4
    9·2 answers
  • 8n + 10 + 6 = -8 + 5n<br> N= Help ASAP
    13·1 answer
  • ¿Cuál es el valor de 0.1561 redondeado a la décima más cercana?
    9·1 answer
  • What is distance=12mi;time=2h;rate
    10·1 answer
  • 24% of students purchased lunch.
    14·2 answers
  • Solve cotxcsCX-2 cotx=0.
    7·1 answer
  • What is the difference?
    10·1 answer
  • Which of the following fractions is in its lowest form? <br> 10/21 <br> 10/22<br> 10/24 <br> 10/25
    15·1 answer
  • 4+5(6p+2=24<br> ........
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!