Answer:
You can determine the root of the equation by multiple methods. However, that answer is correct. The root is -2.
Step-by-step explanation:
A root is where the graph crosses the x-axis. One trick I use to see if it is a root is by taking the numerator and plugging in the number for x. For example, 
, and take the -2 and plug it in for x. The numerator would cancel out because -2 + 2 = 0. That is the way you can determine if it is a root or not.
I hope this helps, if you need any clarification let me know :)
Answer:
-6
Step-by-step explanation:
The average rate of change of a function, f(x), on interval [a,b] is (f(b)-f(a))/(b-a).
So the avereage rate of change of a function, f(x)=x^2+5x+1, on [-9,-2] is
(f(-2)-f(-9))/(-2--9)
(f(-2)-f(-9))/(7)
Stop!
To find f(-2), you replace x in f(x) = x^2 + 5x + 1, with (-2) giving you f(-2)=(-2)^2+5(-2)+1=4-10+1=-6+1=-5.
To find f(-9), you replace x in f(x) = x^2 + 5x + 1, with (-9) giving you f(-2)=(-9)^2+5(-9)+1=81-45+1=36+1=37.
Continue!
(f(-2)-f(-9))/(7)
=(-5-37)/7
=(-42)/7
=-42/7
=-6
Answer:c
Step-by-step explanation:
The greatest number of boxes of rice cakes would be 5, because when you take $10 and divide it by how much every box would cost it would be 5.13. However, boxes are sold in wholes and you must round down to get the greatest whole number of boxes he can get, which would be 5 boxes of rice cakes.
The length of the given rectangle is 10 units.
Here, we are given that the perimeter of a rectangle is 36 units.
A rectangle is a figure with 4 sides and opposite sides equal. The perimeter of a rectangle is calculated using the given formula-
Perimeter = 2 ( length + breadth )
Here, the breadth (width) is given to be 8 units.
Let the length be x units.
Then, we can form the following equation-
Perimeter = 2( x + 8 )
36 = 2x + 16
36 - 16 = 2x
20 = 2x
2x = 20
x = 20/2
x = 10
Thus, the length of the given rectangle is 10 units.
Learn more about perimeter here-
brainly.com/question/19819849
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