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GrogVix [38]
3 years ago
8

A hovercraft takes off from a platform. Its height (in meters), 2 seconds after takeoff, is modeled by: h(x) = -3(x - 3)2 + 108

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
6 0

Answer:

Step-by-step explanation:

pshichka [43]3 years ago
4 0

Answer:

81 m

Step-by-step explanation:

At take off t = 0, substitute x = 0 into h(x)

h(0) = - 3(0 - 3)² + 108 = - 3(9) + 108 = - 27 + 108 = 81 m

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What type of transformation is used<br> when the line y = vx is transformed<br> into y= 5x?
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It gains a slope of 5 over 1

Step-by-step explanation:

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3 years ago
Help me with these questions
Elena L [17]

Answer: a = 4, b = 163,422

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

P = P_{0} e^{kt}   P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 <em>(converted 21% into a decimal)</em>

t = 36 yrs <em>(2006 - 1970) </em>

P = P_{0} e^{kt}   <em>need to solve for P₀</em>

7003 = P_{0} e^{(.21)(36)}

7003 = P_{0} e^{7.56}

7003 = P₀ (1920)

\frac{7003}{1920} = P_{0}

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 <em>(converted 21% into a decimal)</em>

t = 15 yrs <em>(2021 - 2006) </em>

P = P_{0} e^{kt}   <em>need to solve for P₀</em>

P = 7003 e^{(.21)(15)}

P = 7003 e^{3.15}

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

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

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0      or      x + 1 = 0

 x = 2          or         x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴     or   e¹ = e¹

TRUE             TRUE

*****************************************

Answer: 0 = ln 1

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

e^{-10} = \frac{1}{e^{10}}

ln(e^{-10}) = ln(\frac{1}{e^{10}})

-10 = ln 1 - 10   <em>log rules say division is subtraction</em>

 0 = ln 1



5 0
3 years ago
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Free_Kalibri [48]

Answer:

D) 6

Step-by-step explanation:

set Q has 16 values which are all even values from 4 to 36

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6, 12, 18, 24, 30, 36

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The figure below shows a parallelogram PQRS:
lawyer [7]

The figure below shows a parallelogram PQRS:


A parallelogram PQRS is shown with the diagonal SQ.


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Which is the missing statement?


Answer - Triangle PQS is congruent to triangle RSQ

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3 years ago
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