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3 years ago

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

1 answer:

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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Answer correct you get brainliest answer

zloy xaker [14]

Answer:

$y = {x}^{2} - 2$

Or if you want with the value of h too.

$y = {(x - 0)}^{2} - 2$

Step-by-step explanation:

$y = a {(x - h)}^{2} + k$

Find the value of h and k by using the formula.

$h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a}$

From y = x²-2

$a = 1 \\ b = 0 \\ c = - 2$

Substitute these values in the formula.

$h = - \frac{0}{2(1)} \\ h = 0$

Therefore, h = 0.

$k = \frac{4(1)( - 2) - {0}^{2} }{4(1)} \\ k = \frac{ - 8}{4} \\ k = - 2$

Therefore, k = - 2.

From the vertex form, the vertex is at (h, k) = (0,-2). Substitute h = 0, a = 1 and k = -2 in the equation.

$y = a {(x - h)}^{2} + k \\ y = 1 {(x - 0)}^{2} - 2 \\ y = {(x)}^{2} - 2 \\ y = {x}^{2} - 2$

These type of equation where b = 0 can also be both standard and vertex form.

4 0

3 years ago

Trevor is racing his dirt bike at about 30 miles per hour. If he keep a up this rate for an hour and a half, how many miles will

Free_Kalibri [48]

Answer: 45 miles

Step-by-step explanation:

Since Trevor rides 30 mph and does this for 1.5 hours, multiply 30 by 1.5

30 * 1.5 = 45

3 0

3 years ago

I'm lost.. How do you even start it???

Anastasy [175]

$2x+y=4\\
-x+y=1\\\\
2x+y=4\\
\underline{x-y=-1}\\
3x=3\\
x=1\\\\
1-y=-1\\
y=2
$

7 0

3 years ago

Read 2 more answers

What is -3/4+2 3/4 O 3 1/2 O 3 3/4 O 2 1/2 O 2

sveticcg [70]

Answer:

D. 2

Step-by-step explanation:

Common denominator is already presented which is 4.

-3/4 and 3/4 cancel each other out.

you can also convert to decimal form -3/4 + 2 3/4 is the same as:

-0.75 + 2.75 = 2.

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2 years ago

During dance practice, Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she d

Flura [38]

Try adding the two and think of it mentally as if you were drinking the amount of cups of water that's what I do when I have questions like these :))

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3 years ago