Is the following relation a function?

kondaur [170]

Find the corresponding sides of each triangle and divide to find the ratio.

FG = KJ

EF = JL

EG = LK

16.8 / 5.6 = 3

20.1 / 6.7 = 3

The common ratio is 3

4 0

2 years ago

Read 2 more answers

When randomly selecting adults, let M denote the event of randomly selecting a male and let B denote the event of randomly sele

siniylev [52]

Answer:

(D) P (M|B) represents the probability of getting a male, given that someone with blue eyes has been selected.

(B) No, because P(BIM) represents the probability of getting someone with blue eyes, given that a male has been selected.

Step-by-step explanation:

Given that, M denotes the event of randomly selecting a male and B denotes the event of randomly selecting someone with blue eyes.

So, P (M|B) represents the probability of getting a male, given that someone with blue eyes has been selected.

While P(B|M) represents the probability of getting someone with blue eyes, given that a male has been selected, so, P(M|B) and P(B|M) are not the same.

3 0

3 years ago

What is the width of a rectangle that has an area of 12 square inches and a length of 2.5 inches

laiz [17]

Answer:

The width of the rectangle is 4.8 inches

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Area of the rectangle = 12 square inches

Length of the rectangle = 2.5 inches

2. What is the width?

We will find out the width, this way:

Width * Length = Area of the rectangle

Replacing with the real values, we have:

Width * 2.5 = 12

Width = 12/2.5

Width of the rectangle = 4.8 inches

8 0

3 years ago

(3х – 6)(2x+2) simplify by multiplying

inysia [295]

Answer: $6x^{2} -6x - 12$

***If you found my answer helpful, please give me the brainliest. :) ***

6 0

3 years ago

Read 2 more answers

Two car washes charge a basic fee plus a fee based on the number of extras that

mezya [45]

Answer:

a. The first car wash charges more for the basic fee

b. 6 extras must be chosen for the total cost to be the same

Explanation:

The complete question is shown in the attached diagram

The general form of the linear equation is:

y = mx + c where m is the slope and c is the y-intercept

The y-intercept represents the initial value which, in the given problem, is the basic fee

For the first car wash, we are given the equation:

y₁ = x + 9

Now, we will start by getting the equation for the second car wash:

1- getting the slope:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{12-9}{4-2}=1.5$

The equation now is: y = 1.5x+c

2- getting the y-intercept:

To get the y-intercept, we will simply choose a point, substitute with it in the equation from 1 and solve for c. I will use point (2,9)

y = 1.5 x + c

9 = 1.5 (2) + c ............> c = 6

The equation for the second car wash is:

y₂ = 1.5x + 6

Part 1:

As mentioned above, the y-intercept represents the basic fee

For the first car wash:

y₁ = x + 9 ................> The basic fee is $9

For the second car wash:

y₂ = 1.5x + 6 ..............> The basic fee is $6

It is clear that the basic fee for the first car wash charges more for the basic fee

Part 2:

In both equations, x represents the number of extras. We want the total cost to be the same. So, we will simply equate y₁ and y₂ and solve for x

x + 9 = 1.5x + 6

1.5x - x = 9 - 6

0.5x = 3

x = 6

Let's verify:

For x = 6:

y₁ = x + 9 = 6 + 9 = $15

y₂ = 1.5x + 6 = 1.5(6) + 6 = $15

Total cost is the same. This means that 6 extras must be chosen for the total cost to be the same

Hope this helps :)

6 0

2 years ago