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postnew [5]
3 years ago
12

Match the solution set given in inequality notation with the solution set given in interval motion x > 7.8

Mathematics
1 answer:
Maslowich3 years ago
7 0

Answer:

(7.8, ∞)

Step-by-step explanation:

Given the inequality :

x > 7.8 ; the inequality can be explicitly interpreted as x greater than 8 ; this means that the inequality holds for all values of x above 7.8

The interval for which the inequality holds true is :

x > 7. 8 - - - > (7.8, ∞)

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The manager of a theater noted that for every 10 admission tickets sold, the theater sells 3 bags of popcorn at $2.25 each, 4 so
Shalnov [3]

Answer:

$1.475 is the average amount of snack sales per ticket sold.

Step-by-step explanation:

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\text{Average} = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

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5 0
3 years ago
Write an equation of the line passing through the given points.
ANEK [815]

Answer:

The equation of the line passing through the given points.

(1,-5) and (-4,5) is

y=-2x-3

Step-by-step explanation:

Given:  

Let,  

point A( x₁ , y₁) ≡ ( 1 ,-5)

point B( x₂ , y₂ )≡  (-4 , 5)

To Find:  

Equation of Line AB =?  

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Equation of a line passing through a points A( x₁ , y₁) and point B( x₂ , y₂ ) is given by the formula Two -Point Form,  

(y-y_{1})=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\times (x-x_{1})

Now on substituting the slope and point A( x₁ , y₁) ≡ ( 1 ,-5) and B( x₂ , y₂ )≡  (-4 , 5) we get

y-(-5)=\frac{5--5}{-4-1}\times (x-1)\\ \\y+5=\frac{10}{-5}(x-1)\\ \\y+5=-2(x-1)\\y+5=-2x+2 ......Applying\ Distributive\ property\\\\y=-2x+2-5\\\\y=-2x-3....Which\ is\ required

The equation of the line passing through the given points.

(1,-5) and (-4,5) is

y=-2x-3

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