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jeyben [28]
3 years ago
8

I need help with this problem!

Mathematics
1 answer:
lana [24]3 years ago
3 0

Answer:

IH

Hope this helps!

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I need the answers and explanation to a b c and d
snow_lady [41]

Answer:

  a) 4x -3y ≥ -24

  b) 2x +3y ≥ -12

  c) 4x -3y ≤ 12

  d) 2x +3y ≤ 24

Step-by-step explanation:

All of the given points are on the axes, so it is useful to know the intercept form of the equation for a line is ...

  x/a +y/b = 1 . . . . . . where a is the x-intercept and b is the y-intercept.

<h3>a)</h3>

The boundary line for the first side is ...

  x/-6 +y/8 = 1

  4x -3y = -24 . . . . . . multiply by -24 to put in standard form

The graph shows the quadrilateral is to the right of this line, so its inequality is ...

  4x -3y ≥ -24

__

<h3>b)</h3>

The boundary line for side 2 has equation ...

  x/-6 +y/-4 = 1

  2x +3y = -12 . . . . . multiply by -12

The quadrilateral is to the right of this line, as well, so its inequality is ...

  2x +3y ≥ -12

__

<h3>c)</h3>

We can see from the graph that the x-intercept of the boundary line for side 3 is x=3. The equation for that boundary line is ...

  x/3 +y/-4 = 1

  4x -3y = 12

The quadrilateral is to the left of this line, so its inequality is ...

  4x -3y ≤ 12

__

<h3>d)</h3>

Apparently, side 4 is intended to use points already given. We assume it passes through (6, 4) and (0, 8). This boundary is parallel to side 2, so will have the same equation, but with a different constant.

  2x +3y = 2(0) +3(8) = 24

The quadrilateral is to the left of this line, so its inequality is ...

  2x +3y ≤ 24

__

The second attachment shows a graph of the four inequalities with their shading.

_____

<em>Additional comment</em>

All of the inequalities are written in standard form, so the x-coefficient is positive for all of them. The direction of the inequality symbol can be chosen to select values of x that are greater than or less than those on the boundary line. If the shading is to be to the right, then larger x-values are required, and the inequality will have the form ax + by ≥ c (a > 0). If shading is to the left, then smaller x-values are required, and the inequality symbol points in the other direction.

The figure is a parallelogram, not a rectangle.

7 0
2 years ago
Plz help question below
bearhunter [10]
Plan A costs a total of $95 since it says $95 for unlimited talk and text.

Plan B:
(.10 x 800) + (.05 x 1000)
The (.10 x 800) represents 10 cents per talk minute for 800 minutes.
The (.05 x 1000) represents 5 cents per text message for 1000 text messages.
Solve:
.10 x 800 = 80
.05 x 1000 = 50
80 + 50 = 130
This means Plan B will cost him $130 under these conditions.

Plan C:
20 + ((.05 x 800)+(.05 x 1000))
The 20 + represents a flat rate of $20 per month.
The (.05 x 800) represents 5 cents per call minute.
The (.05 x 1000) represents 5 cents per text.
Solve:
.05 x 800 = 40
.05 x 1000 = 50
20 + 40 + 50 = 110
This means Plan C will cost him $110 under these conditions.

Plan D:
45 + (.10(800 - 500))
The 45 + represents a flat monthly rate of $45.
The (800 - 500) represents how many minutes he has to pay for with the 500 free.
The .10 is the cost per extra minute.
Solve:
800 - 500 = 300
.10 x 300 = 30
45 + 30 = 75
This means Plan D will cost him $75 under these conditions.

In short:
Plan A- $95
Plan B- $130
Plan C- $110
Plan D- $75 
The least expensive among these is Plan D, which only costs $75 per month.
5 0
3 years ago
A trapezoid is ______________ isosceles. Question 4 options: Always Sometimes Never
oksian1 [2.3K]

Answer:

A 3SIDED shape

Step-by-step explanation:

3 0
3 years ago
I need help for my daughters homework for write the sentence as an inequality
Taya2010 [7]

Answer:

15 < t ÷5

Step-by-step explanation:

all it wants is for you write the sentence as an equation.

I really hope this helps

3 0
3 years ago
Expression where the solution is 19
MA_775_DIABLO [31]
We want something that equals 19 right? Anything can work here such as
10+9=19 <---we have our outcome as 19 
If you want something more complex 
<span>1(10)+10-1=? 
</span>When you solve that it equals 19! :) 
7 0
2 years ago
Read 2 more answers
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