Using the given linear function of best-fit, the most likely approximate height of the plant after 8 weeks would be of 7.4 centimeters.
<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.
The line of best-fit goes through points (0,1) and (5,5). Point (0,1) means that the y-intercept is of b = 1. The slope is given as follows:
m = (5 - 1)/(5 - 0) = 4/5 = 0.8.
Hence the equation that gives the approximate height after x weeks is:
y = 0.8x + 1.
After 8 weeks, the expected height is:
y = 0.8 x 8 + 1 = 6.4 + 1 = 7.4 centimeters.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
(x − 1)² + (y + 1)² = 18
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center and r is the radius.
The center is (1, -1), so plugging that in:
(x − 1)² + (y + 1)² = r²
A point on the circle is (4, 2), so plugging that in:
(4 − 1)² + (2 + 1)² = r²
18 = r²
Therefore, the equation is:
(x − 1)² + (y + 1)² = 18
Answer:
Option D
Step-by-step explanation:
Given f(x) = ![\sqrt[3]{4x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4x%7D)
g(x) = 2x + 3
Since, 
![=\frac{\sqrt[3]{4x}}{2x+3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Csqrt%5B3%5D%7B4x%7D%7D%7B2x%2B3%7D)
This function is defined for the denominator is not equal to zero.
(2x + 3) ≠ 0
x ≠ 
Therefore, Option D will be the correct option.
