This figure has two intersecting lines and a ray. What is the value of x?

Option B Step-by-step explanation: It is established that a line perpendicular to the x-axis is parallel to the y-axis. Thus, the equation of such a line adopts the form x=(+/-)a, indicating an undefined slope, where a represents a real number. Therefore, the line x=6 is perpendicular to the x-axis.

To determine the total distance traveled, subtract the starting mileage from the ending mileage: 28017 - 26645 = 1372 miles. To find out how many gallons of gas were purchased, divide that distance by the average miles per gallon: 1372/48 = 28.583 gallons. Then, to calculate the cost per gallon, divide the total amount spent by this number: 62.28/28.583 = $2.179 per gallon of gas.

Response:

%=-7t

solution -7% per 1:00

Detailed Steps:

I hope that this clarifies your question.

Answer:

Therefore, the data is best represented by:

Step-by-step explanation:

We have a table indicating the estimated lines of code produced by computer programmers per hour when x individuals are engaged.

The question asks which model accurately reflects this data.

To determine this, we will substitute the values of x into each function to see which one accurately produces the corresponding y (f(x)) values provided in the table:

We are presented with four functions, which are:

A)

B)

C)

D)

We'll create a table displaying these values at various x levels.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Thus, the function that suitably represents the data is:

Option C.

y=26.9x-1.3

Answer:

160/1001, 175/1001

Step-by-step explanation:

i) We calculate:

₈C₁ methods to select 1 new camera from a selection of 8

₆C₃ methods to select 3 refurbished cameras from a selection of 8

₁₄C₄ methods to select 4 cameras from the total of 14 cameras

The probability formula is:

P = ₈C₁ ₆C₃ / ₁₄C₄

P = 8×20 / 1001

P = 160 / 1001

P ≈ 0.160

ii) For at most one new camera, it means we want either one new camera or none at all. We've calculated the probability of selecting one new camera already. The probability of not selecting any new camera is equivalent to selecting 4 refurbished cameras:

P = ₆C₄ / ₁₄C₄

P = 15 / 1001

Therefore, the combined probability is:

P = 160/1001 + 15/1001

P = 175/1001

P ≈ 0.175