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]
3 years ago
12

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

Mathematics
2 answers:
Anastasy [175]3 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]3 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
The volume of this regular pentagonal pyramid is 82.5 cubic meters. What is the height of the pyramid?
a_sh-v [17]

the height of the pentagonal pyramid is 5. 70 meters

<h3>Volume of a regular pentagonal pyramid</h3>

The formula for determining the volume of a regular pentagonal pyramid is given as;

V=5/12tan(54°)ha^2

Where

  • a is the base edge
  • h is the height

We have the volume to be;

volume = 82. 5 cubic centers

height = h

a = 5m

Substitute the values

82. 5 = \frac{5}{12} × tan 54 × h ×5^2

82. 5 = 0. 42 × 1. 3764 × 25 × h

Make 'h' subject of formula

h = \frac{82. 5}{14. 45}

h = 5. 70 meters

The height of the pentagonal pyramid is 5. 70 meters

Thus, the height of the pentagonal pyramid is 5. 70 meters

Learn more about a pentagonal pyramid here:

brainly.com/question/16315924

#SPJ1

6 0
1 year ago
HURRY I NEED HELP<br> I JUST NEED TO KNOW HOW TO DO THIS PLEASE <br> ILL GIVE 5 STARS AND STUFF PLS
timofeeve [1]

Answer:

On the left, it would be + 1 for each blank, and on the right it would also be +1 for each blank.

Step-by-step explanation:

They are asking for the intervals between each number.

Hope this helps!

3 0
2 years ago
Madeline sold 200 tickets for a charter flight to Dallas. Some paid $200 for their tickets and some paid
4vir4ik [10]

Answer:

Let x = number of regular tickets sold.

Let y represent the number of student tickets sold.

12x+8y≤100012x+8y≤1000

x+y≥200x+y≥200

12x+8y≤20012x+8y≤200

x+y≤200x+y≤200

12x+8y≥1000

hope this helps

Step-by-step explanation:

8 0
2 years ago
Round 45,621 to the nearest hundred.
Schach [20]

Answer:

The answer is 45600 as 621 is less than 650 and should be rounded down.

4 0
2 years ago
Read 2 more answers
How many 6-digit numbers can be created using8, 0, 1, 3, 7, and 5 if each number is used only once?
Ludmilka [50]

Answer:

600 numbers

Step-by-step explanation:

For six-digit numbers, we need to use all digits 8,0,1,3,7,5 each once.

However, 0 cannot be used as the first digit, because it would make a 5-digit number.

Therefore

there are 5 choices for the first digit (exclude 0)

there are 5 choices for the first digit (include 0)

there are 4 choices for the first digit

there are 3 choices for the first digit

there are 2 choices for the first digit

there are 1 choices for the first digit

for a total of 5*5*4*3*2*1 = 600 numbers

6 0
3 years ago
Other questions:
  • What is the solution to y + 7 = -9 A. y = -16 B. y = -2 C. y = 2 D. y = 16
    12·1 answer
  • if he allows 40 people to choose a treat from the bag about how many lizard lollis can he expect to give away
    15·1 answer
  • Please Help!<br>i really need help with this!<br><br>​
    8·1 answer
  • What is the solution to the system of equations.<br> y= x - 1<br> x + 4y = 16
    10·1 answer
  • PLEASE HELP! EASY MATH!!
    5·1 answer
  • Section 40 ipc in hindi​
    15·1 answer
  • Sean and his cousin are playing a game where they pick up colored sticks. Sean currently has 50 points and likes to pick up the
    10·1 answer
  • What type of triangle is this ?
    9·1 answer
  • A number plus 18 is less than 28
    8·2 answers
  • Could someone please help me with this ! <br><br> And also show work
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!