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DochEvi [55]
2 years ago
10

You have $47 to spend on music and movie downloads Each album download costs $7 and each movie download costs $8. Write and grap

h a linear inequality that represents this situation. Let x represent the number of albums and y the number of movies.
Mathematics
1 answer:
mel-nik [20]2 years ago
8 0

Answer:each album costs $7 and you buy x of them

cost of albums = 7x

each movie costs $8 and you have you have y of them

cost of movies = 8y

total cost is has to be less than $47

---> 7x + 8y < 47

sketch the graph of 7x + 8y = 47 , a straight line, and shade in the region below that line. Of course you would stay in the first quadrant, (x > 0, and y >0 , since you can't have negative number of movies and albums)

Since you can't buy partial albums and movies, both x and y have to be whole numbers.

So for solutions you would consider only ordered pairs that have whole numbers as their components.

e.g. (2, 2) or (1,5)

Step-by-step explanation: Hope this helps :)

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The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t
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H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
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g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
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Between 2 and 3 seconds. 
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. 
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