Answer:
2(x+6)(x+6)
Step-by-step explanation:
splitting the middle term:
2x²+12x+12x+72
then2x(x+6)+12(x+6)
=(2x+12)(x+6)
=2(x+6)(x+6)(by takin common factor out)
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Answer:
-12x-28=4
-12x=32
x=-16/3
Step-by-step explanation:
The equation that shows the relationship between the elevation of the feather, y, and the number of Seconds it has been falling is y = -2x + 10
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
Let x represent the time in seconds for the bird feather to reach 10 feet.
Hence:
y = -2x + 10
The equation that shows the relationship between the elevation of the feather, y, and the number of Seconds it has been falling is y = -2x + 10
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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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Because the function f(x) =-2+√x+7 has √x, x should be more or equal 0.
Domain is x≥0, or [0,+∞).
The smallest value of x=0, so the smallest value of f(x) is f(0) =-2+√0+7=5,
so range is f(x)≥5, or [5, +∞).