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LenaWriter [7]
3 years ago
11

Graph the linear inequality. 3x-y<6

Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

Step-by-step explanation:

3 x - y < 6

dividing whole equation by 6 equation comes out to be

\frac{3x}{6}-\frac{y}{6}

\frac{x}{2}+\frac{y}{-6}

from the above equation we can clearly see that the x and y co-ordinate

x co-ordinate will be (2,0) where y coordinate will be(0,-6)

and the plot is given in the attachment given below.

where as the shaded portion gives the desired  region.

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A company has two manufacturing plants with daily production levels of 5x+17 and 3y-4,respectively.
Troyanec [42]

Complete question :

A company has two manufacturing plants with daily production levels of 5x + 11 items and 2x - 3 items, respectively, where x represents a minimum quantity. The first plant produces how many more items daily than the second plant?

Answer:

3x + 14

Step-by-step explanation:

Given that:

Production level of plant 1 = 5x + 11

Production level of plant 2 = 2x - 3

The first plant produces how many more items daily than the second plant :

Plant 1 production - plant 2 production

(5x + 11) - (2x - 3)

Open the bracket :

5x + 11 - 2x + 3

5x - 2x + 11 + 3

3x + 14

Daily production of plant 1 exceeds that of plant 2 by 3x + 14

6 0
3 years ago
Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 8 terms
arlik [135]
First, we need to solve for the common ratio from the data given by using the equation.

a(n) = a(1) r^(n-1)
15 = -3 r^(2-1)
-5 = r
r = -5

Then, we can find the sum by the expression:

S(n) = a(1) ( 1 - r^n) / 1-r
S(8) = -3 (1 + 5^8) / 1+5
S(8) = -195313
3 0
3 years ago
Angela's car payment is due January 31. This bill is always paid automatically from her checking account. It is January 30 and A
hram777 [196]
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7 0
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Read 2 more answers
Find the value of x.<br> 50
Mariana [72]

Answer:

x = 18 degrees

Step-by-step explanation:

50 - 32 = 18

7 0
2 years ago
Read 2 more answers
PLEASE HELP ME!!!!!!
Nata [24]

9514 1404 393

Answer:

  vertex: (2, -3.2)

  axis of symmetry: x = 2

  zeros: x=0, x=4

  formula for axis of symmetry:

  • x = <x-coordinate of vertex>
  • x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +c
  • x = average of zeros, (z1 +z2)/2

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

__

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

  x = 2

__

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

__

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

  x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

  x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

  x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

  y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

  x = h . . . . . . equation of axis of symmetry

8 0
2 years ago
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