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DENIUS [597]
3 years ago
6

Select the ordered pairs that are solutions to the system of inequalities {y≤-2x+6x−y<6.

Mathematics
1 answer:
elixir [45]3 years ago
3 0

Answer:

(1.5, 0)

Step-by-step explanation:

Given the system of inequalities y≤-2x+6x−y<6.

separating the inequality

y≤-2x+6x−y

Get the y intercept. This occurs at x = 0

y≤-2(0)+6(0)−y

y = - y

y+y = 0

2y = 0

y = 0

Get the x intercept. This occurs at y = 0

-2x+6x−y<6

-2x+6x−0<6

4x < 6

x < 6/4

x < 3/2

x < 1.5

Hence the ordered pair is (1.5, 0)

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Answer

<u><em>8:28 Hope this helps.</em></u>

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masya89 [10]
Neither P, nor A are on the sketch 
I guess P is the upper right corner of the rectangle 
and A=(0,1) 

P belongs to the line going through (1,0) and B(0,y) 
<span>but we don't know the y-coordinate of B </span>

<span>the triangle is right and isosceles, so pythagoras a²+a²=2² ... 2a²=4 ... a²=2 ... a=sqrt2 </span>
now look at the right triangle BOA 
<span>his hypotenuse is AB=sqrt2 and the <span>the kathete</span> OA is 1 </span>
so y²+1²=(sqrt2)² ... y²+1=2 ... y²=1.. y=1 
so the coordinates of B are (0,1) 

the line going through (1,0) and (0,1) is L(x)=-x+1 

P belongs to this line, so the coordinates of P are P(x,-x+1) (0<x<1) 

b) so if that's P, the height of the rectangle is -x+1 and the width=2x 
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5 0
3 years ago
6. Tax: If sales tax is figured at 7.25%, how
notsponge [240]

Answer:

1.81,2.54,3.77

Total

8.12

Step-by-step explanation:

To find the tax, multiply the original amount by the tax rate

tax

25 * 7.25%

25 *.0725

Rounding to the nearest cent

1.81

35 * 7.25%

35 *.0725

Rounding to the nearest cent

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52 * 7.25%

52 *.0725

Rounding to the nearest cent

3.77

Total for all three

1.81+2.54+3.77=8.12

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3 years ago
The family arcade center charges an entry fee of $11 plus an additional $1 per game played. Which of the following functions des
HACTEHA [7]
You probably made an error while writing the options. 
The correct ans is: 

C(x)= \frac{11+x}{x}

Entry Fee for the player is $11.
Player is charged $1 for each game played. So for x games played, the charges will be $ x.

So, total charges for x games played will be:
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Average Cost per game played = Total Cost/Total Games played
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C(x)= \frac{11+x}{x}
3 0
3 years ago
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