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3 years ago

Equation for parabola that has points (-4,2) (0,2) (-2,3)

Mathematics

1 answer:

almond37 [142]3 years ago

4 0

Step-by-step explanation:

What is the equation of the parabola that has a vertex at

(

−

)

and passes through point

(

−

)

To solve this you need to use the vertex form of the equation of a parabola which is

(

−

)

, where

(

)

are the coordinates of the vertex.

Explanation:

The first step is to define your variables

−

And we know one set of points on the graph, so

−

Next solve the formula for

(

−

)

−

(

−

)

−

(

−

)

−

To create a general formula for the parabola you would put in the values for

, and

and then simplify.

(

−

)

−

(

)

−

(

)

−

So the equation of a parabola that has a vertex at

(

−

)

and passes through point

(

−

)

is:

−

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A rectangular jewelry box costs $125 to gold plate. Calculate the cost of gold plating a box which is similar in shape and that

Alja [10]

To determine the amount of gold plating necessary for the similar box, you will use the fact that it is 8 times larger in volume to determine how many times larger the area is. This would be what you will multiply $125 by.

Volume is a three dimensional measurement, so the fact that it is 8 times larger tells us each dimension was 2 times larger (2 x 2 x 2=8).

Area is a two dimensional measurement, so the area would have been 2 x 2 or 4 times larger. This means the price would be 4 times as much.
$125 x 4 = $500.

It will cost $500 to gold plate the similar jewelry box.

7 0

3 years ago

Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percentile corresponding to the dat

Tems11 [23]

Answer:

Thus percentile lies between 53.3% and 55.6 %

Step-by-step explanation:

First we arrange the data in ascending order . Then find the number of the values corresponding to the given value. Then equate it with the number of observations and x and then multiply it to get the percentile. n= P/100 *N

where n is the ordinal rank of the given value

N is the number of values in ascending order.

The data in ascending order is

0.1 0.2 0.2 0.2 0.3 0.6 0.6 0.6 0.7 0.8 0.8 0.8 0.9 1.3

1.5 1.7 1.9 2.2 2.3 2.3 2.6 2.8 3.3 3.5 5.5 6.1 6.4 6.9 7.5 7.9 8.3 9.8 10.1 11.8 11.9 12.1 12.3 12.7 12.9 13.8 13.8 14.6 14.7 14.8 27.5

Number of observation = 45

4.9 lies between 3.3 and 5.5

x*n = 24 observation x*n = 25 observation

x*45= 24 x*45= 25

x= 0.533 x= 0.556

Thus percentile lies between 53.3% and 55.6 %

7 0

3 years ago

PLEASE!!!I NEED HELP!!!!!!!

den301095 [7]

It is c 12/5

hope it helps

3 0

3 years ago

Read 2 more answers

What is the lcm of 4 and 5

timama [110]

Answer:

Step-by-step explanation:

4 * 1 = 4 5 * 1 = 5

4 * 2 = 8 5 * 2 = 10

4* 3 = 12 5 * 3 = 15

4 * 4 = 16 5 * 4 = 20

4 * 5 = 20

they both go into 20 equally. there is no number lower than 20 that they both go into

8 0

3 years ago

Suppose A is an invertible n×n matrix and v is an eigenvector of A with associated eigenvalue 4. Convince yourself that v is an

mote1985 [20]

The eigenvector of matrix A4 is 4096.

The eigenvalue of the matrix A-1 is 1/8.

(A+4I) has an eigenvalue of 12.

40 is the eigenvalue of 5Av.

The collection of scalar values known as the eigenvalues of a matrix are connected to the set of linear equations that are most likely contained within the matrix equations.

The eigenvectors are also known as the characteristic roots.

If the matrix A's eigen vector v is linked to an eigen value.

Av then equals lamda v.

The fact that v is an eigen vector of A with the value eight is assumed.

hence, Av = 8v.

We must determine the eigenvalue of A4.

A4*v equals A3(8v) = 84*v equals 4096v.

As a result, the eigenvalue of A4 is 4096.

Suppose A has an eigenvalue of 8. The eigenvalue of A-1 is thus 1/8.

It is calculated that the eigenvalue of (A+4I) is (A +4In)v = Av + 4v = 8v + 4v =12v.

(A+4I) has an eigenvalue of 12.

The value of 5Av's eigenvalue is 5Av = 5*8v = 40v.

40 is the eigenvalue of 5Av.

Learn more about the eigen vectors here:

brainly.com/question/15423383

#SPJ4

7 0

1 year ago