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Zolol [24]
3 years ago
6

Which graph represents the function of f(x) = the quantity of 9 x squared minus 36, all over 3 x plus 6?

Mathematics
1 answer:
love history [14]3 years ago
6 0
F ( x ) = ( 3 x + 6 ) ( 3 x - 6 ) / ( 3 x + 6 ) = 3 x - 6
and for domain : 3 x + 6  ≠ 0
3 x ≠ - 6
x ≠ - 2
anwser graph of 3 x - 6, with discontinuity at - 2
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Step-by-step explanation:

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Carl wants to give away 1/3(fraction) of his baseball card collection.
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3 0
2 years ago
Could anyone help me with this? Thanks in advance x
alexira [117]

Answer:

find b: since the triangle is right angle triangle apply the Pythagorean theorem

c²+b²=d²

b²=d²-c²

b²=16²-12²

b²=256-144

b²=112

<h2>b=√112 = 4√7</h2>

the sum of the angle of the triangle=180

( in top Δ abd ) sin Ф=opp/hyp

sinФ=b/d=4√7/16= √7/4  radian

convert to degrees : √7/4 *180/π= 37.91 almost 38 degrees

<h2>which makes A= 38 degrees ( adjacent angles are equal when they have common side and do not overlap)</h2>

find a=?? apply law of cosine

a²= d^2 + c^2 − 2dc cosA

a²=16² + 12²-2(16)(12)cos38

a =√(16² + 12²-2(16)(12)cos38)

<h2>a=9.87 rounded to the nearest hundredth</h2>

(i hope it is right )

5 0
3 years ago
Find the distance between the two points rounding to the nearest tenth (if necessary).
Evgesh-ka [11]

Answer:

approximately 8.5

Step-by-step explanation:

So you can use the distance formula: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ which is derived from the Pythagorean theorem because normally x2-x1 would kind of give the distance length between x2 and x1 except sometimes it would be negative which wouldn't make much sense right? but it doesn't matter because it's being squared so the value ultimately becomes positive, and the same thing goes for the y-value. the distance between x2 - x1 really represents the base and y2-y1 represents the height and then adding them together gives the hypotenuse squared which is why you take the square root over the entire thing to find the distance, since the hypotenuse is the shortest distance between two points

Now all you have to do is plug the values in to get

\sqrt{(-7 - (-4))^2 + (-8 - 0)^2}\\\sqrt{(-3)^2 + (-8)^2}\\\sqrt{9 + 64}\\\sqrt{73}\\distance \approx 8.5

5 0
1 year ago
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