The linear function that calculates the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:
y = 3.3x + 30.6.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, we have that the distance increases 33 AU each 10 years, hence the slope is given by:
m = 33/10 = 3.3.
Hence:
y = 3.3x + b.
When x = 28, y = 123, hence we use it to find b as follows:
123 = 3.3(28) + b
b = 30.6.
Hence equation to calculate the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:
y = 3.3x + 30.6.
More can be learned about linear functions at brainly.com/question/24808124
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Only these are direct variations:
<span>Songs are 99 cents each to download.
Tickets for rides at the fair are $1 each.
Because, for each of them, the total value will be always the product of the number of items times a constant (the unit price).
</span>
The question ask to find and compute the possible formula for the function below where as A = (-1,32) and B= (1,8). In my own calculation and further computation about the problem and also following the rule of general exponential function, the formula would be y = a*(b^x). I hope this would help
Answer:
3
Step-by-step explanation:
<em>This is cube root (hence the </em>![\sqrt[3]{}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%7D)
).
To find the cube root of a number, we are looking for a number that, when multiplied by itself 3 times, equals the number inside the sign.
So:
We know that 
, so this doesn't work.
We also know that 
, so this works.
Therefore the cube root of 27 is 3.
Hope this helped!
Area of a triangle is 0.5* perpendicular height* base
0.5*4*8
Where four is the perpendicular height and eight is the base
Therefore, area is equal to 16
