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
Umnica [9.8K]
3 years ago
12

Which of the following inequalities matches the graph? graph of an inequality with a solid line through the points (0, −2) and (

2, 1)with shading above the line
  3x − 2y greater than or equal to 4
 3x − 4y less than or equal to 2
 3x − 2y less than or equal to 4
 The correct inequality is not listed.

Mathematics
2 answers:
AlladinOne [14]3 years ago
5 0
1) Equation of the line

Slope, m = [-2 -1]/[0 - 2] = -3 / -2 = 3/2
y-intercept, b = -2

y = 3x/2 - 2


2) Inequality
The points over the line have y-coordinate greaetr than the value of the line, then

y ≥ 3x/2 - 2

2y ≥ 3x - 4

3x - 2y ≤ 4

3) Answer: 3x - 2y less than or equal to 4.
Ne4ueva [31]3 years ago
3 0

Answer:

The correct option is 3.

Step-by-step explanation:

It is given that graph of an inequality with a solid line through the points (0, −2) and (2, 1) with shading above the line.

The equation of solid line is

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

y+2=\frac{1+2}{2-0}(x-0)

y+2=\frac{3}{2}x

The y-intercept of the line is -2 and the shaded region is shading above the line. So, (0,0) must be lies in the shaded region.

Check the related equation by point (0,0).

0+2=\frac{3}{2}(0)

2=0

The statement is true if and only if the sign is greater than or equal instead of equal.

The required inequality is

y+2\geq \frac{3}{2}x

Multiply both sides by 2.

2y+4\geq 3x

4\geq 3x-2y

3x-2y\leq 4

Therefore option 3 is correct.

You might be interested in
Which translation rule describes the translation that is 2 units to the left and 8 units down?
lisov135 [29]

Answer: (x,y) → (x - 2, y - 8)

Step-by-step explanation:

Two units to the left would mean decreasing value on the x-axis, making it -2.

Eight units down would, again, mean decreasing value on the y-axis, making it -8.

Therefore, (x,y) → (x - 2, y - 8) is the correct translation rule.

I hope this helps :)

I get it, Geometry can be pretty difficult sometimes... I'm in it right now lol

8 0
2 years ago
Rafael reads 3/4 chapters in 4/5 hours
Inessa [10]
I do not know the full question being asked, but if he reads 3/4 chapters in 4/5 hours, he would read 6/4 chapters, or 1 1/2 chapters in 1 3/5 hours.

Please mark Brainliest if helpful!
If this isn’t your question, please provide it fully in the comments of this answer. :))
4 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. What is the volume of t
katen-ka-za [31]

Answer/Step-by-step explanation:

Volume = L*W*H

L = 10.4

W = 5

H = 8

10.4* 5 = 52

L*W = 52

52* 8 = 416

L*W*H = 416

Therefore,

ANSWER: 416

if needed in volume form 416^3

3 0
3 years ago
A cooling tower is 120 meters tall. The sides of the tower are in the shape of a hyperbola defined by the equation x^2/500 - y^2
Reil [10]

Answer:

100m

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How do I factor 1/4d-3/4
dolphi86 [110]
1/4d - 3/4 =
1/4(d - 3)
4 0
4 years ago
Other questions:
  • Graph this equation Y = IxI – 3 ...?
    8·2 answers
  • Suppose GH = JK , HI = KL and <1 =
    14·1 answer
  • The vertices of parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0). ABCD is reflected over the x-axis to create parallelogr
    10·1 answer
  • Determine the recursive function that defines the sequence.
    11·1 answer
  • A roll of wire has 51 inches of wire. If each bracelet requires 7.2 inches of wire, estimate the number of bracelets that can be
    10·1 answer
  • Please help me with this math question if u answer with no file link I will mark brainlist!!
    6·2 answers
  • Solve the equation 7x-4(-4x-16)= -166
    13·2 answers
  • Two friends share 4 oranges equally. how much does each friend get?
    5·2 answers
  • Functions assignment<br> Y= 2/3x+20 <br> When x=21 what is the function and solution
    7·1 answer
  • Solve the following question:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!