Answer:

Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have
----> equation of the line into point slope form
Convert to slope intercept form
Isolate the variable y
Distributed left side

subtract 5 both sides

Slope= 5
X-intercept= -5/5 = -1
Y-intercept= 5/1 = 5.0000000
Answer: The larger rug is 4 times larger
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
The small circular rug covers an area of approximately 67 square feet. This means that
67 = πr²
r² = 67/π = 67/3.14 = 21.34
r = √21.34 = 4.62
If a large size rug has twice the dimensions of a small rug, it means that the radius of the larger rug would be
2 × 4.62 = 9.24
The area of the larger rug would be
3.14 × 9.24² = 268.06ft²
Therefore
268.06/67 = 4
The larger rug is 4 times larger
The type of polynomial that would best model the data is a <em>cubic</em> polynomial. (Correct choice: D)
<h3>What kind of polynomial does fit best to a set of points?</h3>
In this question we must find a kind of polynomial whose form offers the <em>best</em> approximation to the <em>point</em> set, that is, the least polynomial whose mean square error is reasonable.
In a graphing tool we notice that the <em>least</em> polynomial must be a <em>cubic</em> polynomial, as there is no enough symmetry between (10, 9.37) and (14, 8.79), and the points (6, 3.88), (8, 6.48) and (10, 9.37) exhibits a <em>pseudo-linear</em> behavior.
The type of polynomial that would best model the data is a <em>cubic</em> polynomial. (Correct choice: D)
To learn more on cubic polynomials: brainly.com/question/21691794
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Answer:
at + vi = vf
Step-by-step explanation:
In order to solve for vf, we need to isolate said variable.
a = vf - vi/t (Given)
at = vf - vi (Multiply t on both sides)
at + vi = vf (Add vi on both sides)