X 1 2 3
y 10 8 6
So find the slope m: (6-10)/(3-1) = -4/2 = -2
Going backwards when x = 0, y will be 12 (you can see this)
So
<span>Initial value: 12, rate of change: −2
</span>
Shown in the attached figure
<h2>
Explanation:</h2>
The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:

So we need to use this function in order to obtain:

Recall that to translate a function vertically, we use the following rule:

And to translate a function horizontally, we use the following rule:

Since:

Then:
<em>g(x) is the translation of f(x) 2 units to the left and 4 units down</em>
<em />
<h2>
Learn more:</h2>
Transformations in real-world problems: brainly.com/question/1033817
#LearnWithBrainly
Answer:
1150 km/hr
Step-by-step explanation:
Formula for Average Speed is given as = Distance in Kilometers/ Time in Hours
In the question we are given the following parameters.
The length of a planet's orbit around a star = Distance = 17,650,000 km.
Time taken to complete a full orbit = 640 Earth days
Step 1
We need to convert the time in days to hours
1 Earth day = 24 hours
640 Earth days =
We cross multiply
640 Earth days × 24 hours
= 15360 hours.
Step 2
Average Speed = Distance in Kilometers/ Time in Hours
Average Speed = 17,650,000 km. /15360 hours
Average Speed = 1149.0885417 km/hr
Approximately to 3 significant figures=
1150 km/hr
Therefore, the planets average speed in kmh-1 to 3sf is 1150 km/hr
Answer:
x=5
Step-by-step explanation: