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Basile [38]
2 years ago
6

Please help with this question

Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
5 0

Answer:

D) -9/4

Step-by-step explanation:

please refer to the picture I sent

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The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func
alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

h(t)=-16t^2 + 96t

Solution:

To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.

To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq  0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq  0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible  \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)

Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq  0\\-112 \geq  0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq  0\\80 \geq  0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq  0\\-112 \geq  0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

0 \leq  t \leq  6

The height will be positive in the above interval.

7 0
3 years ago
Read 2 more answers
* Example 19<br>Verify that cot 2A + tan 2A = 2 CSC 4A.​
dexar [7]

Step-by-step explanation:

hi the steps are in the picture attached by me

6 0
3 years ago
Help?! I feel so unmotivated unfortunately
valkas [14]
A. 34,964.3
b. 456,736
c. 2,000,000
d. 30,000

i believe are the correct answer, & i totally know how you feel. get well soon ♥︎
3 0
2 years ago
Is 5 a solution to the equation 3x + 1 equals 7​
Shkiper50 [21]

Answer:

no. I think its 2

Step-by-step explanation:

3x+1=7

3x=7-1

3x=6

x=2

3 0
3 years ago
2+2/4+7-9x(-5).<br><br> Please help me
Cerrena [4.2K]

Answer:

109/2 is the answer of your question . Use PEMDAS rule

3 0
2 years ago
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