The table and the plotted data are in the attachment.
Answer and Step-by-step explanation: A line of best fit is the best approximation of the given data. It is used to show the relation of two variables and it can be determined, more accurately, by the Least Square Method.
To use the method, follow the steps:
1) Calculate the mean of the two variables:
2) The Slope of the line is given by:
3) The y-intercept is found by the formula:
For the ripening of bananas, the least square method gives the line:
y = -0.142x + 5.56
The rate of change of a line equation is its slope, so
Rate of change = -0.14
The rate of change of ripening time with respect to exposure time is -0.14, which means the more expose the fruit is, the less time it needs to ripe.
Answer: 376 cm^2
Step-by-step explanation:
First you would double all the dimensions:
l = 5 cm x 2 = 10 cm
w = 4 cm x 2 = 8 cm
h = 3 cm x 2 = 6 cm
The formula for finding the surface area of a rectangular prism is A=2(wl+hl+hw)
Substitute the values:
A=2(8*10+6*10+6*8)
Solve using PEMDAS:
A=2(80+60+48)
A=2(188)
A=376
Surface area is always in units^2:
376 cm^2
Answer: 
Step-by-step explanation:
The slope of a line equals to the difference between points' y-coordinates divided by the difference between their x-coordinates.
That is, if 
and 
are the point of a line,
Then the slope of the line is,
By the given diagram,
, 
, 
and 
Thus, the slope of the given line
=
⇒ Fourth option is correct.
Quadratic equations are the equations that can be re arranged in the linear or the standard form.
<u>Explanation:</u>
In algebra, a quadratic equation is any condition that can be adjusted in standard structure as where x speaks to an unknown, and a, b, and c speak to known numbers, where a ≠ 0. On the off chance that a = 0, at that point the condition is straight, not quadratic, as there is no term.
Quadratic equations are really utilized in regular day to day existence, as while ascertaining regions, deciding an item's benefit or figuring the speed of an article. Quadratic conditions allude to conditions with in any event one squared variable, with the most standard structure being ax² + bx + c = 0.
Answer:
Step-by-step explanation:
3(x+2) -10 = 4x + 6 +x
3x +6 -10 = 5x+6
-10 = 2x
x = -5
One solution
