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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Answer:
Janelle will make <u>62 baskets</u> on 14th day.
Step-by-step explanation:
Given,
Number of goals on 1st day = 10
We need to find the number of goals on 14th day.
Solution,
Since Janelle made 10 goals on 1st day and want to make 4 more basket from the day before.
So we can say that;
and 
And also 
here
= first term
d = common difference
n = number of terms
Now we apply the formula of A.P.

now substituting the given values, we get;

Hence Janelle will make <u>62 basket</u> on 14th day.
22% = 22/100
22/100 * 14.50 = 3.19 (this is the amount discounted off original price)
14.50 - 3.19 = $11.31
Answer:
Step-by-step explanation:
3x^5+6x^3
=3x^3(x^2+2)
Answer:
2.4 hours
Step-by-step explanation:
6 3/10 divided by 5 1/4 is 1.2. So 6 3/10 is 1.2 times more than 5 1/4. We then take the 1.2 and multiply it by 2 hours because we need to find what's 1.2 times more than 2 hours. So then you get 2.4 hours.