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weeeeeb [17]
3 years ago
15

Which graph represents the solution to the system of inequalities below?

Mathematics
1 answer:
Reika [66]3 years ago
3 0

Answer:

The correct option is;

B

Step-by-step explanation:

The given system of inequalities are;

5·x - 4·y > 4...(1)

x + y < 2...(2)

Representing both inequalities as a function of "y", gives;

For, 5·x - 4·y > 4...(1), we have;

-4·y > 4 - 5·x

y < 4/(-4) - 5·x/(-4)

∴ y < 5·x/4 - 1

For x + y < 2...(2), we have;

y < 2 - x

Therefore, y is less than the values given by the equation of the straight line equalities, and the feasible region is given by the common region under both dashed lines representing both inequalities as shown in the attached diagram created using Microsoft Excel

The correct option is therefore, B.

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If anyone knows the answer to this can you help me
Murljashka [212]

Answer:

<h3>             C.    y + 7 = -7(x - 3)</h3>

Step-by-step explanation:

The equation of a line is:

                          y - y₀ = m(x - x₀)

where <em>m</em> is the slope and <em>(x₀, y₀)</em> is the point which the line passes through

The product of slopes of two perpendicular lines is  -1

so if given lines slope is ¹/₇ them:

     ¹/₇·m = -1

        m = -7

(3, -7)     ⇒    x₀ = 3,  y₀ = -7

Therefore:

               y - (-7) = -7(x - 3)

                <u> </u><u>y + 7 = -7(x - 3) </u>

4 0
3 years ago
Look for a Pattern Identify the coordinates of four points on the line with
Alexeev081 [22]

Answer:

I dont know the answer so I cant help

4 0
3 years ago
Which expression is equivalent to 10i/2-i<br> a. –5i – 2<br> b. –4i – 2<br> c. 4i – 2<br> d. 5i – 2
scoray [572]
The answer to the question is
C. 4i-2
4 0
3 years ago
Read 2 more answers
A box in the shape of a rectangular prism has a width that is 5 inches greater than the height and a length that is 2 inches gre
aliina [53]

The volume of the rectangular prism can be express in standard polynomial as follows:

x³ + 12x² + 35x

<h3>How to find the volume of a rectangular prism?</h3>

volume of a rectangular prism = lwh

where

  • l = length
  • w = width
  • h = height

Therefore,

let

height = x

width = x + 5

length = x + 5 + 2 = x + 7

Therefore,

volume = x(x + 5)(x + 7)

volume = x(x² + 7x + 5x + 35)

volume = x(x² + 12x + 35)

volume = x³ + 12x² + 35x

learn more on volume here: brainly.com/question/2005063

#SPJ1

7 0
2 years ago
What is the answer to the question
S_A_V [24]

The equation of the parallel line is y = –2x – 11.

Solution:

Given equation of the line is y = –2x – 5.

Slope of this line is (m_1) = –2

To write the equation parallel to this line and passes through (–4, –3).

<em>If two lines are parallel, then they have the same slope.</em>

\Rightarrow m_1=m_2

\Rightarrow m_2 =-2

<u>Point-slope formula:</u>

y-y_1=m(x-x_1)

Substitute the given values in the formula, we get

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

y+3=-2(x+4)

y+3=-2x-8

Subtract 3 from both sides of the equation.

y+3-3=-2x-8-3

y=-2x-11

Hence the equation of the parallel line is y = –2x – 11.

5 0
3 years ago
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