All categories

3 years ago

What is the vertex of the graph of y = −4(x + 2)^2 + 5?

Mathematics

2 answers:

Kamila [148]3 years ago

8 0

Y=a(x-h)^2+k
vertex is (h,k)
given
y=-4(x-(-2))^2+(5)
vertex is (-2,5)

Alina [70]3 years ago

4 0

Y=a(x-h)^2+k

(H,k) is the. Vertex
(-2,5)

You might be interested in

Use the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x

valkas [14]

$\mathbf f(x,y,z)=x^4\,\mathbf i-x^3z^2\,\mathbf j+4xy^2z\,\mathbf k$
$\mathrm{div}(\mathbf f)=\dfrac{\partial(x^4)}{\partial x}+\dfrac{\partial(-x^3z^2)}{\partial y}+\dfrac{\partial(4xy^2z)}{\partial z}=4x^3+0+4xy^2=4x(x^2+y^2)$

Let $\mathcal D$ be the region whose boundary is $\mathcal S$ . Then by the divergence theorem,

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV$

Convert to cylindrical coordinates, setting

$x=r\cos\theta$
$y=r\sin\theta$

and keeping $z$ as is. Then the volume element becomes

$\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$

and the integral is

$\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle4\iiint_{\mathcal D}r^4\cos\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\dfrac{2\pi}3$

4 0

4 years ago

Mrs. Lynch has noted that 7 out of every 10 pieces of mail she gets are junk mail. What percent of her mail is junk?

-BARSIC- [3]

I think it would be 70% of her mail

8 0

3 years ago

Read 2 more answers

B) Here are the first four terms of a quadratic sequence.

Nookie1986 [14]

Find answer is the given attachment

5 0

3 years ago

There are 26 third graders and 32 fourth graders going on a field trip. Each van can carry 10 people

nataly862011 [7]

Answer:

Approximately 6 buses

Step-by-step explanation:

If you are wanting know how many vans they are going to need:

26 + 32 -This helps you know how many total kids there are

= 58

58 / 10 -This solves how many buses you'll need

= 5.8 - Round up, and say you need 6 buses.

4 0

3 years ago

At sea, the distance D to the horizon is directly proportional to the square root of the elevation E of the observer. If a perso

Alla [95]

The problem says that the distance D to the horizon is directly proportional to the square root of the elevation E of the observer, so:

The person who is 36 feet above the water ⇒ √36=6

A person 49 feet above the water ⇒ √49=7

So, by proportions, you have:

(7/6)x7.4= 8.63 miles

Therefore, the answer is: a person 49 feet above the water can see 8.63 miles

7 0

3 years ago