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polet [3.4K]
3 years ago
12

An observation deck extends 120 feet out above a valley. The deck sits 70 feet above the valley floor. If an object is dropped f

rom the observation​ deck, its height h in​ feet, after t​ seconds, is given by h equals negative 16 t squared plus 70. How long will it take for the object to be 6 feet above the valley​ floor? It will take ____ seconds for the object to be 6 feet above the valley floor.
Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

Answer:

2

Step-by-step explanation:

The height formula given is:

h = -16t^2 + 70

That means the object will be initially (t=0) at the height 70 feet, from where it will be dropped.

If we want to know the time when the object will be at height 6 feet, we just need to use h=6 in the equation, and then calculate the value of t:

6 = -16t^2 + 70

16t^2 = 64

t^2 =4

t = 2 s

So, it will take 2 seconds for the object to be 6 feet above the valley floor.

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Kevin drove 357 miles using 14 gallons of gas. At this rate, how many miles would he drive using 16 gallons of gas?​
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Answer:

Kevin could drive 408 miles using 16 miles of gas.

Step-by-step explanation:

357 (1/14) = 25.5

25.5 (16) = 408

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Given a table of values of a quadratic function, which of the following do you absolutely need in order to find its equation? *
nadya68 [22]

Answer:

The general form of a quadratic function is --> y = ax2 + bx + c

Since (0, -2) exists for the function, we can plug in those values:

-2 = a(0)2 + b(0) + c

-2 = 0 + 0 + c

-2 = c

So now our function so far is --> y = ax2 + bx - 2

We have two pairs of coordinates left: (-1, -8) and (3, -8).

First, plug in the first pair and simplify as much as you can:

-8 = a(-1)2 + b(-1) - 2

-8 = a - b - 2 ( add 2 to both sides )

-6 = a - b (stop here because we can't go further)

Second, plug in the second pair and simplify as much as you can:

-8 = a(3)2 + b(3) - 2

-8 = 9a + 3b - 2 ( add 2 to both sides )

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Now we have these two equations left:

a - b = -6

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Now we solve for a and b using systems of equations, using one of three ways:

substitution

elimination

graphing (not my favorite, but it is doable)

Using substitution:

a - b = -6 can be rewritten as a = b - 6

plug into the second equation and solve for b

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9b - 54 + 3b = -6 (combine all of the b's)

12b - 54 = -6 (add 54 to both sides)

12b = 48 (divide by 12 on both sides to isolate b)

b = 4

plug b into one of the original two equations

a - 4 = -6 (add 4 to both sides)

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The quadratic equation for this table is y = -2x2 + 4b - 2

6 0
2 years ago
What is x/2.6=2? and explain why and how you got your answer .
Gnesinka [82]
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3 0
3 years ago
11.
g100num [7]

Answer:

You spend $55.78 more buying luxury items then store brand items.

Step-by-step explanation:

You have to add up all the items costs for the store branded items. And then you have to add up all the items costs for the luxury branded items. Then you subtract the luxury item costs, from the store brand items and you get, $55.78.

I HOPE THIS HELPED YOU!!!!

7 0
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