All categories

2 years ago

Rewrite f(x) = -2(x-3)^2 from vertex form to standard form

Mathematics

1 answer:

anyanavicka [17]2 years ago

6 0

Answer:

f (x) = -2x^2 + 12x -18

Step-by-step explanation:

hope this helps

You might be interested in

Integrate G(x,y,z)equalsz over the parabolic cylinder yequalszsquared, 0less than or equalsxless than or equals2, 0less than

yKpoI14uk [10]

I gather you're supposed to compute the integral of $G(x,y,z)=z$ over a surface $S$ that is the part of the parabolic cylinder $y=z^2$ with $0\le x\le2$ and $0\le z\le\frac{\sqrt{15}}2$ .

We can parameterize $S$ by

$\vec s(x,z)=x\,\vec\imath+z^2\,\vec\jmath+z\,\vec k$

with the given constraints on $x$ and $z$ . Take the normal vector to $S$ to be

$\vec s_x\times\vec s_z=-\vec\jmath+2z\,\vec k$

so that the surface element is

$\mathrm dS=\|\vec s_x\times\vec s_z\|\,\mathrm dx\,\mathrm dz=\sqrt{1+4z^2}\,\mathrm dx\,\mathrm dz$

Then in the integral, we have

$\displaystyle\iint_Sz\,\mathrm dS=\int_0^2\int_0^{\sqrt{15}/2}z\sqrt{1+4z^2}\,\mathrm dz\,\mathrm dx=\boxed{\frac{21}2}$

5 0

3 years ago

What is the radius of a circle if it's area is 36π?

alexira [117]

Area= pi x r^2
hence,

pi x r^2 = 36 x pi

=> r^2=36
=>r= root over 36 = 6

in short...the radius is 6

5 0

3 years ago

Paul bought a package of 6 spiral notebooks for a total cost of $13.50. which equation represents p

baherus [9]

Answer: Each notebook costs $2.25. (6p = $13.50)

Step-by-step explanation:

You simply have to divide $13.50 by 6 to get the quotient of $2.25. $2.25 indicates the unit rate between the two.

8 0

3 years ago

Simplify |−3 − 8|<br> A. –11<br><br> B. –5<br><br> C. 5<br><br> D. 11

bazaltina [42]

Answer:

<h3>It's answer is D. 11 </h3>

Here we can see there is modulus so

while doing calculation

| -3-8 |

| -11 |

Here it is modulus so - changes into +

so it's answer is 11.

8 0

3 years ago

Evaluate the radical. 125−−−√3

VikaD [51]

Answer:

Answer should be 5

Step-by-step explanation:

3 0

3 years ago