Answer:
gradient = 
Step-by-step explanation:
calculate the gradient m using the gradient formula
m = 
with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m =
=
=
= 
Answer:
5 hours
Step-by-step explanation:
Time taken for trip : t + 1
Time taken for return : t
Avg. speed (trip) : 256 km/h
Avg. speed (return) : 320 km/h
The distances covered on both trips are equal.
⇒ Distance (trip) = Distance (return)
⇒ Speed (trip) × time (trip) = Speed (return) × time (return)
⇒ (256)(t + 1) = (320)(t)
⇒ 256t + 256 = 320t
⇒ 64t = 256
⇒ t = 4 hours
<u>Time (trip)</u> = t + 1 = 4 + 1 = 5 hours
Option D is correct. The correct option for the recursive formula is 
Given the sequence 10, 14, 18...
The first term is 10, hence
a1 = 10
The previous terms will be 
From the sequence, we can see that <em>4 is being added to the previous term to get the next term</em>. Hence the nth term will be expressed as:

Get the term before the first term 
If n = 1

Hence the correct option for the recursive formula is 
Learn more here: brainly.com/question/18233843
Answer:
$0.90
Step-by-step explanation:
you would divide it by 5
$4.50/5=$0.90
hope this helps
brainliest?
Using proportions, it is found that it took 15 days for the students to finish the project.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In this problem, we have that:
- 100% of the project is done by 5 students in 15 days.
- After the 3 students left, 2 students will have a time of x days to do 100 - (9/15) = 40% of the project.
The compound <em>rule of three</em> is given as follows:
1 project - 5 students - 15 days
0.4 project - 2 students - x days
Increasing the number of students, the number of days is reduced, hence the measures are inverse proportional and the <em>rule of three</em> is given by:


15/x = 1
x = 15 days.
It took 15 days for the students to finish the project.
More can be learned about proportions at brainly.com/question/24372153
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