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Alja [10]
3 years ago
7

A system of linear inequalities is shown below. y ≥ –2x – 3 1 y<2x+1 Which of the following ordered pairs is a solution to th

e graph of the system of inequalities? Select all that apply. A. (–4, 1) B. (–3, –4) C. (0, –3) D. (0, 1) E. (5, –2)
Mathematics
1 answer:
anzhelika [568]3 years ago
3 0
The points (0, -3) and (5, -2) are solutions to the system of equations.

To find the solutions, you first have to graph both of the lines in the problem.
y = -2x - 3 and y = 2x + 1. Then, to shift them to an inequality, you have to shade the half-plane that they represent. 

The solution is the space that they have in common. In this case, it will be on the right side of the graph.

The points (0, -3) and (5, -2) are included in the shaded region they have in common.
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lilavasa [31]
24x+4x , I’m pretty sure
3 0
3 years ago
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Given the height, h, and the volume v of a certain cylinder, alex uses the formula v ph r 5 !§ to compute its radius, r, to be 1
dmitriy555 [2]
We know that
volume of a cylinder=pi*r²*h
r=√[V/(pi*h)]
r=10 m

A <span>second cylinder has 
V2=V-----> volume of the second cylinder
h2=25*h----> height of the second cylinder
r2----> radius of the second cylinder
r2=</span>√[V2/(pi*h2)]----> r2=√[V/(pi*25*h)]---> r2=(1/5)*√[V/(pi*h)

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7 0
3 years ago
8(3x - 4) = 4x - 2<br> What is x?
Serga [27]

Answer:

x=2/3

Step-by-step explanation:

8 (3x-4)= 4x-2

24x-32= 4x-2

20x=30

x=2/3

4 0
3 years ago
Find all of the points on the x-axis which are 6 units from the point (−1, 1).
anyanavicka [17]
All the points that are 6 units from (-1, 1) are those on the circle
  (x+1)^2 +(y-1)^2 = 36

For y=0, the two points of interest satisfy
  (x+1)^2 +1 = 36
  (x+1)^2 = 35 . . . . . . subtract 1
  x+1 = ±√35
  x = -1±√35

The points you seek are (-1-√35, 0) and (-1+√35, 0), about (-6.916, 0) and (4.916, 0).

5 0
3 years ago
Y=-7X-14<br> 1. What is the y-intercept of the graph of the given function? How do you know?
34kurt

Answer:

(0, -14)

Step-by-step explanation:

The y intercept of the graph of the function is at (0, -14)

In the equation y = mx + b, the constant b is the y value of the y intercept. In this equation, b is equal to -14, so this means the y intercept is at (0, -14).

We can also find the y intercept by setting x equal to 0, then solving for y.

Substitute 0 for x:

y = -7x - 14

y = -7(0) - 14

y = 0 - 14

y = -14

So, the y intercept is at (0, -14)

7 0
3 years ago
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