If y varies inversely as (x^2-2) and f(3)=1/8. Find f(-1/2)

when rounded to the nearest hundred the number of pupils in a school is 1800 what are the smallest and largest numbers of pupils

barxatty [35]

1749 should be rounded to 1700 because 1749 is closer to 1700 than to 1800

1750 should be rounded to 1800 because it is equally close to 1700 and 1800, and so you apply the rule than when the number to round finish in 5 you round to the next upper number.

Now, if you apply the same 1849 should be tha greater number that when rounded to hundreds becomes 1800.

So, the smalles and largest numbers of pupils there could be in the school are 1849 and 1750, respectively.

5 0

4 years ago

How many triangles can be formed with segments measuring 4. 72 yd, 6. 31 yd, and 1. 67 yd? none one more than one.

scoray [572]

The triangle inequality theorem is not followed, no triangle can be formed.

<h3>Triangles</h3>

In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices.

The triangle inequality theorem describes the relationship between the three sides of a triangle.

According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.

Here, the sides are 4.72 yds, 6.31 yds, and 1.67 yds.

4.72 + 6.31 = 11.02 > 1.67 (theorem followed)

4.72 + 1.67 = 6.39 > 6.31 (theorem followed)

6.31 + 1.67 = 7.98 > 4.72 (theorem not followed)

Since the triangle inequality theorem is not followed,

Hence, no triangle can be formed.

To know more about triangles click the link given below.

brainly.com/question/9450761

4 0

2 years ago

The graph shows the result of a matrix transformation, where the pre-image has dashed lines Which matrix operation is represente

diamong [38]

The matrix operation is the addition subtraction and multiplication involving matrices. The coordinates of the image can be represented as a matrix obtained from the coordinates of the preimage through matrix operations

The best correct option is option D), (the y-coordinate for the point (8, -7) is to be replaced with a 7 to give (7, -7) as follows:

$\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]$

The reason the above matrix value for the matrix operation are correct are as follows:

Known parameters:

From the diagram, we have that the coordinates of the vertices of the preimage are;

(2, -5), (3, -7), (9, -3), and (7, -7)

The coordinates of the vertices of the image are;

(2, 5), (3, 7), (9, 3), and (7, 7)

Required:

The matrix operation for the transformation of the preimage points to the image points

Solution:

The transformation from the coordinates of the vertices of primage to the vertices of image involves the change in the sign from negative to positive, of the y-values of the image, which can be obtained by multiplying by (-1)

Therefore, the required matrix operation is presented as follows:

$\mathbf{\left[\begin{array}{rrrr}1&0\\0&-1\end{array}\right] \left[\begin{array}{rrrr}9&7&3&2\\-3&-7&-7&-5\end{array}\right]} =\left[\begin{array}{rrrr}9&7&3&2\\3&7&7&5\end{array}\right]$

Therefore, the best correct option is option D)

Learn more about matrix operations here:

brainly.com/question/17141646

3 0

3 years ago

Choose the function whose graph is given below.

kompoz [17]

Where is the pic?
i need to see it

3 0

3 years ago

(05.02 LC) Given triangle ABC, which equation could be used to find the measure of ∠C?

Sidana [21]

Answer:

D. sin m∠C = 2 square root of 5 all over 5

Step-by-step explanation:

The triangle ABC is a right angled triangle. The angle ∠C is where we are asked to find. The side AB measures 6 , AC measures 3 and the side BC measures 3√5.

The longest side of a right angle triangle is the hypotenuse, that means the side with length 3√5 is the hypotenuse.

Therefore side BC is the hypotenuse side and we are asked to find the angle C. AB is the opposite side while AC is the adjacent side.

Using

sin C = opposite/hypotenuse = 6/3√5 = 2/√5 = 2√5/5

cos C = adjacent/hypotenuse = 3/3√5 = 1/√5

6 0

3 years ago