V+W=12+9=21
V-W=12-9=3
VW=12*9=108
Try the first table value and see what you get from the various choices. For x = 1, the answer choices give you
... A: y = 5×1 = 5
... B: y = 1 + 1 = 2
... C: y = 1 + 2 = 3
... D: y = 2×1 = 2
Both B and D give the correct value (2), so we need to try another table entry. For x = 3 (the second table entry), the answer choices give you
... B: y = 3 + 1 = 4
... D: y = 2×3 = 6
Only selection D gives you the correct value (6). The appropriate choice is
... D. y = 2x
Answer:
<h2><em><u>28</u></em></h2>
Step-by-step explanation:
<em><u>First</u></em><em><u>,</u></em>
7 times 8 = 7 × 8 = 56
<em><u>Then</u></em><em><u>,</u></em>
The product divided by 2 = 56 ÷ 2 = 28
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>The</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>28</u></em>
Given this equation:
![f(x)=301+29^{-0.5x}](https://tex.z-dn.net/?f=f%28x%29%3D301%2B29%5E%7B-0.5x%7D)
That represents t<span>he height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.
</span>
The tree's maximum height is limited to 30 ft.
As shown in figure below, the tree is not limited, so this statement is false.
<span>
The tree is initially 2 ft tall
The tree was planted in x = 0, so evaluating the function for this value, we have:
</span>
![f(0)=301+29^{-0.5(0)}=301+1=302ft](https://tex.z-dn.net/?f=f%280%29%3D301%2B29%5E%7B-0.5%280%29%7D%3D301%2B1%3D302ft)
<span>
<span>So, the tree is initially
![\boxed{302ft}](https://tex.z-dn.net/?f=%5Cboxed%7B302ft%7D)
tall.
</span>
Therefore this statement is false.
</span>
Between the 5th and 7th years, the tree grows approximately 7 ft.
<span>
if x = 5 then:
</span>
![f(5)=301+29^{-0.5(5)}=301ft](https://tex.z-dn.net/?f=f%285%29%3D301%2B29%5E%7B-0.5%285%29%7D%3D301ft)
<span>
</span>if x = 7 then:
![f(7)=301+29e^{0.5(7)}=301ft](https://tex.z-dn.net/?f=f%287%29%3D301%2B29e%5E%7B0.5%287%29%7D%3D301ft)
So, between the 5th and 7th years the height of the tree remains constant
:
![\Delta=f(7)-f(5)=301-301=0ft](https://tex.z-dn.net/?f=%5CDelta%3Df%287%29-f%285%29%3D301-301%3D0ft)
This is also a false statement.
<span>
After growing 15 ft, the tree's rate of growth decreases.</span>
It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term
![29^{-\infty}](https://tex.z-dn.net/?f=29%5E%7B-%5Cinfty%7D)
approaches zero.
Therefore this statement is also false.
Conclusion: After being planted this tree won't grow.
Answer:
y=15x+100
Step-by-step explanation:
increases by 15, 100 is starting free