Todor was trying to factor 10x^2-5x+15. He found that the greatest common factor of these terms was 5 and made an area model: Wh
1 answer:
Answer:
The width of the area model is equal to
Step-by-step explanation:
we know that
The area of a rectangular model is given by the formula
----> equation A
where
L is the length
W is the width
we have
Factor the expression
substitute the value of the Area in the equation A
In this problem
The greatest common factor of these terms is the length (L=5 units)
so
we can say that the width is equal to (2x^2-x+3)
therefore
The width of the area model is equal to
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Given:
The given function is
To find whether the function is growth or decay and the growth of decay.
Formula:
The function is said to be an exponential growth, if the value of a > 0 and r > 0
Again, the function is said to be an exponential decay, if the value of a > 0 and 0 < r < 1.
Now,
Thus, the value of a > 0 and r > 0, then the given function is an exponential growth function.
Therefore,
The given function is an exponential growth function.
Answer:
Option C is correct.
Step-by-step explanation:
An exponential function is of the form: ....[1] where a is the initial value, x is any real number and b is the growth factor
Also, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r).
Then, the growth "rate" (r) is determined as b = 1 + r.
and the decay "rate" (r) is determined as b = 1 - r
- If b> 1, then it is exponential growth function.
- if 0<b< 1. then it is exponential decay function.
Also, b = 1+ 4
Given the equation:
On comparing given equation with [1] we get;
a = 50 and b = 1.15
Since, b = 1.15 > 1
Therefore, the given equation represents the exponential growth.
(A)
Yes, this equation represents the exponential growth.
(B)
Initial value (a) = 50
(C)
Here growth factor, b = 1.15
and
1+ r = 1.15.
⇒