9514 1404 393
Answer:
- c = 2
- segments 10, 8, 6 (top down)
Step-by-step explanation:
The sum of top and bottom bases is twice the midsegment.
(c² +6) +(c² +2) = 2(4c)
2c² -8c +8 = 0 . . . . . . . . . subtract 8c
2(c -2)² = 0 . . . . . . . . factor
c = 2 . . . . . . the value that makes the binomial be zero
The value of c is 2; the segment lengths (top-down) are 10, 8, 6.
Given this equation:

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>

<span>
<span>So, the tree is initially

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>

<span>
</span>if x = 7 then:

So, between the 5th and 7th years the height of the tree remains constant
:

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

approaches zero.
Therefore this statement is also false.
Conclusion: After being planted this tree won't grow.
Answer:

Step-by-step explanation:
To solve this problem, first you have to isolate it on one side of the equation.
First, subtract 1/4 from both sides.
1/4+x-1/4<5/6-1/4
Solve.
5/6-1/4=7/12
Therefore, the correct answer is A. x< 7/12.
Answer:
n=3 then open bracket
Step-by-step explanation:
3n-(2+n)
=3x4-(2+4)
=12-6
=6
Answer:
Step-by-step explanation:
Cost price of the article = Rs 400
Selling price of the article = Rs 420
As, S.P > C.P
Profit = S.P – C.P
= Rs( 420 – 400)
⠀⠀⠀= Rs 20
So,
Profit percent = (20/400 × 100)%
⠀⠀⠀⠀⠀⠀⠀⠀ = (20/4) %
⠀⠀⠀⠀⠀⠀⠀⠀ = 5 %