All categories

1 year ago

What is this problem

Mathematics

1 answer:

Veronika [31]1 year ago

3 0

The coordinate of the vertex is; (h, k) = (3, -5)

The final equation of the parabola is; y = 5(x - 3)² - 5

<h3>How to find the vertex of a Parabola?</h3>

The vertex is the coordinate of the crest or trough of the curve. Now, in the given graph, we only have a Trough which is the lowest point of the graph.

The coordinate of the vertex is; (h, k) = (3, -5)

2) Since the general equation is;

y = a(x - h)² + k

We will have;

y = a(x - 3)² - 5

At x = 2, y = 0. Thus;

0 = a(2 - 3)² - 5

a - 5 = 0

a = 5

3) The final equation of the parabola is;

y = 5(x - 3)² - 5

Read more about Parabola Vertex at; brainly.com/question/17987697

#SPJ1

You might be interested in

Write x=2 in Slope intercept form

SpyIntel [72]

Answer:

y= 2/1 + 0

Step-by-step explanation:

If there's not a y-int. it'll be 0.

4 0

2 years ago

A bag contains 7 pieces of paper numbered 1 to 7. P(2)=. Is

pochemuha

Answer:

$P (2) =\frac{1}{7}$ Theoretical probability

Step-by-step explanation:

The theoretical probability is defined as:

$P = \frac{number\ of\ desired\ results}{number\ of\ possible\ results}$

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:

number of desired results = 1

The amount of paper in the bag is equal to 7, so:

number of possible results = 7

Thus:

$P (2) =\frac{1}{7}$

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.

To calculate the experimental probability we must perform the following experiment:

Take a paper out of the bag, record the number obtained and then return the paper to the bag.

Now repeat this experiment n times. (Perform n trials)

So:

$P (2) = \frac{number\ of\ times\ you\ obtained\ the\ number\ 2}{number\ of\ trials\ performed}$

To calculate a theoretical probability you always need to perform an experiment with n trials.

5 0

3 years ago

How many cubes with the side lengths of 1/2 cm does it take to fill the prisim?

My name is Ann [436]

Answer:

Number of cubes that fills the prism=24

Step-by-step explanation:

The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm

Volume of the prism= $Length*Width*Height$

$Length=2 cm\\\\ Width=1 cm\\ \\ Height=3/2 cm = 1.5 cm$

Volume of Prism = $2*1*1.5$

$=3.0 cm^3$

Volume of the Cube:

$Side*Side*Side\\\\=0.5*0.5*0.5$

$= 0.125 cm^3$

Number of cubes that fills the prism:

$3.0/0.125\\\\=24 cubes$

So, the number of cubes that can fill the prism is '24'

8 0

3 years ago

Paige mows 1/8 acre in 1/6 hour. How many acres does Paige mow per hour?<br> Please help ☹️

lara [203]

1/6 = 10 minutes
10 minutes six times =1hour
1/8 x 6 =3/4

6 0

3 years ago

Read 2 more answers

Construct an augmented matrix for this linear system: x − y − 4z = 5 2x 2z = 0 4x y z = 3.

Crazy boy [7]

The augmented matrix is,

$\left(\begin{array}{ccccc}1&-1&-4&|&5\\2&0&2&|&0\\4&1&1&|&3\end{array}\right)$

We have given system of linear equation is,

$x - y - 4z = 5,2x + 2z = 0 ,4x +y +z = 3.$

<h3>What is the meaning of augmented matrix?</h3>

In an augmented matrix, each row represents one equation in the system and each column represents coefficients (with signs) of variables or the constant terms.

So, the first row is

$1\ -1\ -4\ 5$