Answer:
remainder = 0
Step-by-step explanation:
Using the Remainder Theorem
Given f(x) divided by (x + h) then the remainder is found by evaluating f(- h)
Here the divisor is (x + 2), hence evaluate at h = - 2
Let f(x) = 3
+ 2x³ - x² + 2x - 24, then
f(- 2) = 3
+ 2(- 2)³ - (- 2)² + 2(- 2) - 24
= 3(16) + 2(- 8) - 4 - 4 - 24
= 48 - 16 - 4 - 4 - 24 = 0 ← Remainder
Remainder = 0 , hence (x + 2) is a factor of f(x)
I believe it would be 5.
if you plug in five to both equations:
h=5+11
h=3(5)+1
they both equal 16. so they will both have 16 hats after 5 months. :-)
When you graph the equations their point of intersection is (2,4).
Therefore, when y > 4, the exponential function surpasses the linear function.
Here's what I did and I checked it So it is correct!!
![\frac{7}{28} = \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B28%7D%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20)
![\frac{1}{4} = 0.25](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20%3D%200.25)
25% is your answer.
![28 \times 25\% = 7](https://tex.z-dn.net/?f=28%20%5Ctimes%2025%5C%25%20%3D%207)
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I hope that helps you!! Any more questions please feel free to ask!!