Answer:
Step-by-step explanation:
1) A
2) C
3) B
4) A
5) A
6) C
7) B
8) B
9) B
10) A
I will assume you mistyped this question. For y = -1/16x^2 + 4x + 3, the answers to this question are
a) 3 feet
b) 67 feet
c) 64.741 feet
For a) we note that at x = 0, that is the instant where the ball leaves the hand. y(0) = 0.
For b), we find the vertex of y = -1/16x^2 + 4x + 3
y = -1/16x^2 + 4x + 3
y = -1/16(x^2 - 64x) + 3
y = -1/16(x^2 - 64x + 1024 - 1024) + 3
y = -1/16((x-32)^2 - 1024) + 3
y = -1/16(x-32)^2 + 64 + 3
y = -1/16(x-32)^2 + 67
The vertex is at (32,67) so 67 is the maximum height.
For c), we find the x-intercepts with the quadratic formula on
y = -1/16x^2 + 4x + 3=0:
x = [ -b ± √b^2 - 4ac ] / (2a)<span>
x = [ -4 ± √4^2 - 4(-1/16)(3) ] / (2(-1/16))
x = -0.741, 64.741
Only the positive solution, so 64.741 feet </span>
B)decreases by one; arrow length decreases by 1/3
Hey!
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Explanation:
Since both numbers have 15,006 before the decimal we only need to see which number has a bigger decimal.
0.099 < 0.101
0.101 - 0.099 = 0.002
So, 15,006.101 is 0.002 bigger than 15,006.099!
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Hope This Helped! Good Luck!
Answer:
B
Step-by-step explanation:
Firstly the unfilled circle means that it is not equal to
If you read the scale the unfilled circle is at -1 and the arrow is pointing left.
This means that x is smaller than -1 or -1 is greater than x read in the form x<-1
The filled circle means x can be equal to, in this case, 4. The arrow is pointing right so x is greater or equal to 4
x≥4
Therefore the answer is b
Hope this helps