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3 years ago

Wwho is barack obama

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

3 0

Barach obama was the <span>44th President of the United States and he was in office from the year 2009 to 2017.</span>

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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

6. Which of the following inequalities will require the inequality symbol to

Ad libitum [116K]

Answer:

Both -6x +7>-5 and 14x-2<12

Step-by-step explanation:

Your question said "Which of the FOLLOWING inequalities require the inequality symbol to be reversed when solving" I hope this means multiple choice because i got both 14x-2<12 and -6x +7>-5 to be reversed when i finished solving them. For 6x +7>-5 I got X < 2, and for 14x-2<12 I got X > -28, therefore those two are correct.

5 0

3 years ago

Find the slope and y-intercept of the line that is perpendicular to y=3x-3 and passes through the point (-8,-2)

kiruha [24]

I think this is right

3 0

3 years ago

Quick I need to finish this in 5 minutes****only fractions

Makovka662 [10]

The answer is 4 units long

6 0

3 years ago

Which of the following shows that polynomials are closed under subtraction when two polynomials, (5x2 3x 4) − (2x2 5x − 1), are

Verizon [17]

The closure property under subtraction is shown when the correct

result from the subtraction of polynomials is also a polynomial.

Response:

The option that shows that polynomials are closed under subtraction is; <u>3·x² - 2·x + 5 will be a polynomial</u>.

<h3>How is the option that shows the closure property found?</h3>

The closure property under subtraction for the polynomials is condition

in which the result of the difference between two polynomials is also a

polynomial.

The given polynomials being subtracted is presented as follows;

(5·x² + 3·x + 4) - (2·x² + 5·x - 1)

Which gives;

(5·x² + 3·x + 4) - (2·x² + 5·x - 1) = 3·x² - 2·x + 5

Given that the result of the subtraction, 3·x² - 2·x + 5, is also a

polynomial, we have, that the option that shows that polynomials are

closed under subtraction is; <u>3·x² - 2·x + 5 will (always) be a polynomial</u>.

Learn more about closure property here:

brainly.com/question/4334406

3 0

3 years ago