Step-by-step explanation:
as I don't see any equations or graphs here I can only answer in general :
f(x) is the patent function.
g(x) is the transformed function.
g(x) = -6f(x-7)
the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).
the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).
and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.
Answer:
21
Step-by-step explanation:
90+15=105
105÷5=21
$150 because the supply number is equivalent to the demand number
Answer:
10.26 in²
Step-by-step explanation:
The area (A) of the sector is
A = area of circle × fraction of circle
= πr² × 
= π × 2.8² × 
≈ 10.26 in²
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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