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STALIN [3.7K]
3 years ago
10

X + 3y < -18 5x + 2y <14

Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer:

<h2>The solution will be the shaded region for both.</h2>

Step-by-step explanation:

First we need to solve x + 3y = -18 and 5x + 2y = 14.

x = -18 - 3y.

Putting the above value in the second equation, we get, 5x + 2y = 14\\5(-18 - 3y) + 2y = 14\\-90 -15y - 2y = 14\\17y = - 104\\y = - \frac{104}{17} = 6.2.

Hence, x = -18 - 3y = -18 -3\times\frac{104}{17} = -36.353

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To one-one functions g and h are defined as follows.
Andreyy89

Answer:

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Step-by-step explanation:

The inverse function for a set of ordered pairs can be found by swapping the x- and y-coordinates in each pair.

  g^{-1}(-1)=9\qquad\text{from the $g(x)$ ordered pair $(9, -1)$}

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The inverse of a function expressed algebraically can be found by swapping the x- and y-variables and solving for y.

  h^{-1}(x)\qquad\text{is found from }x=h(y)\\\\x=3y+8\\x-8=3y\\\\y=\dfrac{x-8}{3}\\\\\boxed{h^{-1}(x)=\dfrac{x-8}{3}}

A function of its own inverse returns the original value:

  \boxed{\left(h\circ h^{-1}\right)(-1)=-1}

6 0
3 years ago
Pat's Pizza made 21 cheese pizzas, 14 veggie pizzas, 23 pepperoni pizzas, and 14 sausage pizzas yesterday.
Sophie [7]
The probability of the next pizza not being cheese is 
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So, P(cheese) = 21/72 x 100
which is roughly 29%

So P(not cheese) = 100 - 29 = 71%
3 0
3 years ago
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Which is the more reasonable measure for the length of a car?<br> 50m<br> 5cm<br> 5m<br><br> Thanks
Roman55 [17]

Answer:

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Step-by-step explanation:

8 0
3 years ago
The line plot shows the distances some students jumped during a Field Day competition.
trapecia [35]
To answer this question here is what you would do. I can't give you the exact answer because there is not a line plot attached.

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3 years ago
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Answer:

75

Step-by-step explanation:

Area of a triangle is <em>l </em>x <em>w </em>(length x width)

That's 4 cm x 12 cm. Now you could go ahead and figure it out from there, but you have to remember it wants the answer in meters. It tells us that for every 4cm, it is 5m. The easiest way to figure this out is to convert to meters before multiplying. Since 4 cm is 5m, the <em>l </em>becomes 5m. 4 goes into 12 three times. So we would do 5 x 3 to get 15m for the new <em>w. </em>Now we can solve for area.

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8 0
3 years ago
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