Writ the rule that represents the function (0,0),(1,1),(2,0),(3,-1),4,32)

Which of the following triangles has a circle inscribed?

____ [38]

Answer:

its your first option.

Step-by-step explanation:

Brainliest?

5 0

2 years ago

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The polynomial in standard form that represents the perimeter of the quadrilateral

Naddik [55]

Answer:

3(4x-1)

Step-by-step explanation:

I hope this is correct and helpful

6 0

2 years ago

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

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A drink manufacturer increases the volume of its cans by 25%.They now hold 450ml.How much did they used to hold?

ss7ja [257]

Answer:

562.5ml

Step-by-step explanation:

using percentage multipliers you just have to do:

add 0.25 to 1 because that will make 125%

then multiply it by 450ml

450ml x 1.25 = 562.5ml

7 0

3 years ago

Latitia had 12 marbles. After she gave 2 marbles to Amelia she has 10/12 of her marbles left. What fraction of the marbles did l

Elenna [48]

Answer:

The answer here would be 1/6.

Step-by-step explanation:

If Amelia originally has 12 marbles (12/12), then gives away 2, she then has 10 marbles (10/12). This means she gave away 2 of the 12 marbles she has (2/12). This fraction can then be reduced to 1/6 by dividing the denominator and numerator by 2.

7 0

3 years ago