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svetoff [14.1K]
4 years ago
11

Five friends go out to the football field, and decide to throw tide pods onto the field, while standing at different places in t

he bleachers. Each throw is modeled by functions below, where the height of the throw is a function of how much time it is in the air:
Alastor: h= -6t^2 + 36t + 96. Bael: h= -8t^2 + 32t + 40. Corson: h= -4t^2 + 16t + 48. Danjal: h= -6t^2 + 54. Eblis: h= -4t^2 + 32t + 80.
In a thorough explanation and description of the methods you are using, and sharing and relevant computations and work, describe 1. how far up in the bleachers they started, 2. the maximum height their tide pod reached on the air, and 3. how long it took for it to hit the football field.

Also share whose went highest, and whose took longest to land.
Mathematics
1 answer:
Shkiper50 [21]4 years ago
6 0
WHAT 
I don't get it!!!
What is a tide pod serisouly!!!
Anyways
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4 years ago
The volume of a cube is 343 cubic inches. What is the length of each edge of the cube?
weeeeeb [17]

Answer:7 inches

Step-by-step explanation:

Volume of cube=343

volume of cube=length x length x length

length =L

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343=L^3

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Taking the cube root of both sides we get

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3 0
3 years ago
An online furniture store sells chairs for $50 each and tables for $550 each. Every day, the store can ship a maximum of 20 piec
Leya [2.2K]

Answer:

If 9 chairs were sold,  the store must sell  11 tables in order to meet the requirements.

Step-by-step explanation:

Selling price of each table = $50

Selling price of each table  = $550

Let the number of chairs sold in a a day = x

Let Number of tables old in a a day = y

Hence, the selling price of x chairs = x times $50 = 50 x

and the selling price of y tables = y times $550 = 550 y

Maximum number of pieces that can be shipped  = 20

⇒   x +  y ≤  20

Also, The total  selling amount should at least be $5,000

⇒   50 x +  550 y ≥ 5,000

Hence, the given system of equation is:

x +  y ≤  20

50 x +  550 y ≥ 5,000

Solving the given system:

put y =  20 - x from (1) in the equation (2), we get

50 x +  550 y =  5,000 ⇒ 50x + 550(20 -x) = 5000

or, 50x  + 11,000 - 550x = 5000

or, -500x = -6000

x = 12

or the number of chairs sold at maximum  = 12

also, y = 20- x = 20 - 12 = 8

So, number of tables sold at maximum  = 8

Now, if the number of chairs sold  = 9,

then the number of tables sold  =  20 - 9 =  11

The selling amount is   50(9) + 550(11) =  $6,500  > $5,000

Hence,  9 chairs were sold,  the store must sell   11 tables in order to meet the requirements.

5 0
4 years ago
What is the value of x
baherus [9]
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3 years ago
Read 2 more answers
Three consecutive terms of an arithmetic sequence have a sum of 12 and a product of -80. Find the terms. Hint: let the terms be
Shalnov [3]
(x - d) + x + (x + d) = 12 --> Create an equation using the first piece of information - "Three consecutive terms... have a sum of 12"

x - d + x + x + d = 12 --> Simplify the left side of this equation (d cancels out)

3x = 12 --> Divide both sides by 3

<u>x = 4
</u>


Use the value of x (x = 4) to find the value of d. To do this, set up another equation using the second piece of information.

(x - d) * (x + d) * x = - 80 --> "Three consecutive terms... have... a product of -80". Then, substitute the value of x (4) into this equation.

(4 - d) * (4 + d) * 4 = - 80 --> Multiply out the sets of brackets, the * 4 is dealt with afterwards

4(16 - 4d + 4d - d²) = - 80 --> Simplify the expression inside the brackets

4(16 - d²) = - 80 --> Multiply out these brackets by the 4

64 - 4d² = - 80 --> Subtract 64 from both sides

- 4d² = - 144 --> Divide both sides by - 4

d² = 36 --> Square root both sides

<u>d = 6

</u>
Now, find the values of the terms of the sequence by using substituting the values of x and d into the expressions given.
<u>
</u>
<u />1. x - d = 4 - 6 = <u>- 2
</u>
<u></u>2.<u> x = 4</u>
3. x + d = 4 + 6 = <u>10
</u>

The three terms are - 2, 4, 10.
<u>

</u>
5 0
3 years ago
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