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irakobra [83]
3 years ago
13

The function h(t)=-4.92t^2+17.69t+575 is used to model an object being tossed from a tall building, where h(t) is the height in

meters and t is the time in seconds. Rounded to the nearest hundredth, what are the domain and range? domain: [0, 12.76] range: [1.8, 590.9] domain: [1.80,1276] range: [1.8, 590.9] domain: [1.80,12.76] range: [0, 590.9] domain: [0, 12.76] range: [0, 590.9]
Mathematics
2 answers:
nikklg [1K]3 years ago
5 0
We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575

</span> For the domain we have:
<span> </span>We match zero:
 -4.92t ^ 2 + 17.69t + 575 = 0
 We look for the roots:
 t1 = -9.16
 t2 = 12.76
 We are left with the positive root, so the domain is:
 [0, 12.76]

 For the range we have:
 We derive the function:
 h '(t) = - 9.84t + 17.69
 We equal zero and clear t:
 -9.84t + 17.69 = 0
 t = 17.69 / 9.84
 t = 1.80
 We evaluate the time in which it reaches the maximum height in the function:
 h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
 h (1.80) = 590.90
 Therefore, the range is given by:
 [0, 590.9]

 Answer:
 the domain and range are:
 
domain: [0, 12.76] range: [0, 590.9]
olya-2409 [2.1K]3 years ago
4 0

Answer:

The answer is D.................

Step-by-step explanation:


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tangare [24]

Answer:  $499.00

<u>Step-by-step explanation:</u>

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worty [1.4K]

Answer:

4

Step-by-step explanation:

 

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soldier1979 [14.2K]

The polynomial (a + b)(a² – ab + b²) is reconstructed as (2x + y)(4y² – 2xy + y²), then the correct option is C.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Tomas learned that the product of the polynomials (a + b)(a² – ab + b²) was a special pattern that would result in a sum of cubes, a³ + b³.

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Then the polynomial equation will be

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