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4 years ago

What is the inverse of the function 9y - 6 = 3x ?

Mathematics

1 answer:

IgorC [24]4 years ago

8 0

Answer:

Option (2)

Step-by-step explanation:

Given function is,

9y - 6 = 3x

y = $\frac{3x+6}{9}$

To find the inverse of the given function,

1). Substitute x in place of y and y in place of x.

x = $\frac{3y+6}{9}$

2). Now we have to solve this equation for the value of y.

9x = 3y + 6

3y = 9x - 6

y = (3x - 2)

Therefore, inverse of the given function is y = (3x - 2)

Option (2) will be the answer.

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Find the area of the head using each persons method. Show your reasoning.

diamong [38]

The area of the hexagonal head using each persons (Andre & Lin) method is;

Total Area using Lin's method = 93.6 ft²

Total Area using Andre's method = 93.6 ft²

A) Lin's Method; From division of polygons , we know that a regular hexagon can be divided into 6 equilateral triangles.

From the image, a side of the hexagon is 6 inches. This means that all sides of each triangle will be also 6 inches.

Formula for area of a triangle = ¹/₂(base x height)

We see a perpendicular distance spanning from one end of the hexagon to the other end passing through the centre of the hexagon. It passes 2 triangles.

Thus, the height of one triangle = 10.4/2 ft = 5.2 ft

Area of one triangle = ¹/₂ × 6 × 5.2 = 15.6 ft²

Thus, Area of hexagon = area of 6 triangles = 6 × 15.6 = 93.6 ft²

B) Andre's method;

Let us first find the area of the rectangle;

Area of rectangle = length × width

Area of rectangle = 10.4 × 6 = 62.4 ft²

For the rectangle, we know three sides now which are;

10.4 ft, 6 ft, 6 ft but we don't know the height and as such we will use heron's formula to get the area of one triangle;

A = √s((s - a)(s - b)(s - c))

where; a,b and c are the 3 sides of the triangle

s = (a + b + c)/2

Thus; s = (10.4 + 6 + 6)/2 = 11.2 ft

Thus;

A = √11.2((11.2 - 10.4)(11.2 - 6)(11.2 - 6))

A = 15.6 ft²

There are 2 triangles and so Area of 2 triangles =2 × 15.6 = 31.2 ft²

Thus;

Total Area = 62.4 ft² + 31.2 ft²

Total Area = 93.6 ft²

Read more at; brainly.com/question/15424654

6 0

2 years ago

What is the sum of the 14th square number and the 2nd cube number?

tamaranim1 [39]

Answer:

204

Step-by-step explanation:

Square of 14 = 14 × 14 = 196

Cube of 2 = 2 × 2 × 2 = 8

So sum of square of 14 & cube of 2= 196 + 8 = 204

7 0

4 years ago

Read 2 more answers

0.22y × 0.06 = please help me

irakobra [83]

Answer:

0.0132y :DDDDDDDDDD

7 0

2 years ago

Find the slope of the graph and the unit rate

Lilit [14]

Answer:

For the 1st graph

Slope = $\frac{6}{10}$

Unit rate = $0.6$ mi/h

For the 2nd graph

Slope = $\frac{9}{4}$

Unit rate = $2.25$ mi/h=

Step-by-step explanation:

For the 1st graph

Slope is given as $\frac{Rise}{Run}$

Rise = $(6-0) = 6$

Run = $(10-0) = 10$

Therefore,

Slope = $\frac{6}{10}$

Unit rate = $\frac{6}{10}$

= $0.6$ mi/h

For the 2nd graph

Rise = $(9-0) = 6$

Run = $(4-0) = 10$

Therefore,

Slope = $\frac{9}{4}$

Unit rate = $\frac{9}{4}$

= $2.25$ mi/h

7 0

3 years ago

Tom starts lawn mowing business before he can begin he purchases a new lawnmower each weekend he mows the same number of lawns a

Anastasy [175]

To be able to give the answer to this item, we are to represent first with any variables the amount he earns each weekend for mowing the same field. Also, we represent the number of weeks he had worked by the variable y. The total amount of money he will have after working for y weeks is,

T = xy

Since, we are not given with any other information of the other expenses that have to be paid then we can say that if T is already equal to the price of the new lawnmower then, Tom will be able to purchase it and begin his lawn mowing business in due time.

7 0

3 years ago