Firstly expand (x - 3)(ax^2 + bx + c):
ax^3 + bx^2 + cx - 3ax^2 - 3bx - 3c
Now rearrange it so that it's in the form ax^3 + bx^2 + cx + d:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c
Now we can compare both equations:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c = 2x^3 - x^2 - 19x + 12
We get:
(1) a = 2
(2) b - 3a = -1
(3) c - 3b = -19
(4) -3c = 12
If we substitute (1) into (2) we get:
b - 3*2 = -1
b - 6 = -1
b = 5
Now if we solve (4) we get:
-3c = 12
c = -4
Therefor a = 2, b = 5 and c = -4
The relationship between the years since the tree was transplanted and its height in inches is linear and represented graphically by a line with positive slope and positive y-intercept
Step-by-step explanation:
Their is a linear relation between the years since the tree was transplanted and its height in inches because
- The tree has a constant rate of increasing of its height per year
- Assume that the initial height of the tree when it planted is b inches
- Its height increases m inches per year
- Its height (y) after x years can be expressed in the formula y = m x + b
y = m x + b is the form of the linear equation, where
- m is the slope of the graph of the equation
- b is the y-intercept (value y at x = 0)
The relationship between the years since the tree was transplanted and its height in inches is linear represented graphically by a line with positive slope and positive y-intercept
Learn more:
You can learn more about the linear functions in brainly.com/question/4152194
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Answer:
151/30
Step-by-step explanation:
if you subsitute it you will get 3 1/10
4 is again c because you should put the 2 here 2a'2-1 so this is 2a'1 and this is 20 so
A2 is 20
Than you should again do this and find a3 ...
Answer:
-12degrees Celsius
Step-by-step explanation:
-3+5=2 1:00pm
2-2=0 6:00pm
(10-6=4)
4(3)=12, 0-12=-12 10:00pm
i hope this helps!
