For a perfect square
b² = 4*a*c
Comparing ax² + bx + c = 0 to x² + bx + 16
a = 1, c = 16
<span>b² = 4*a*c
</span>
<span>b² = 4*1*16
</span>
<span>b² = 64
</span>
b = √64
b = 8
The value of b = 8.
Answer:
113.10 if you use the pi button
113.04 if you use 3.14
Step-by-step explanation:
We want to find the volume
V = 4/3 pi r^3
The radius is 3
V = 4/3 pi (3)^3
Using the pi button for pi
V = 113.09734
Rounding to the nearest hundredth
V = 113.10
If you use 3.14 for pi
V = 113.04
Ball hit the ground is when the function equals zero
0=-16t^2+46t+6
we can't factor so use quadraticformula
for
ax^2+bx+c=0
x=
![\frac{-b+/- \sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%2B%2F-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%20)
x=
![\frac{-46+/- \sqrt{46^2-4(-16)(6)} }{2(-16)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2F-%20%5Csqrt%7B46%5E2-4%28-16%29%286%29%7D%20%7D%7B2%28-16%29%7D%20)
x=
![\frac{-46+/- \sqrt{2116+384} }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2F-%20%5Csqrt%7B2116%2B384%7D%20%7D%7B-32%7D%20)
x=
![\frac{-46+/- \sqrt{2500} }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2F-%20%5Csqrt%7B2500%7D%20%7D%7B-32%7D%20)
x=
![\frac{-46+/- 50 }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2F-%2050%20%7D%7B-32%7D%20)
x=
![\frac{-46+ 50 }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46%2B%2050%20%7D%7B-32%7D%20)
or
![\frac{-46- 50 }{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-46-%2050%20%7D%7B-32%7D%20)
x=
![\frac{4}{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B-32%7D%20)
or x=
![\frac{-96}{-32}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-96%7D%7B-32%7D%20)
x=-1/6 or x=3
we cannot have negative time because time starts at 0
disregard -1/6 as a possible answer
answer is after 3 seconds
Answer: $122.50
Step-by-step explanation:
We know the difference between the time the employee clocked in and clocked out = 1200 - 0800 = 4 hours
The next clock in and out = 17:30 - 12:45 = 4 hours, 45 minutes.
These times combined = 8 hours, 45 minutes
minutes in an hour =
of an hour.
The total time worked was 8
hours.
Multiply 8.75 × $14 = $122.50
I am not a professional, simply using prior knowledge.
Note- it would mean the world to me if you could mark me brainliest!
Let n represent the number.
-13×(n -60) = n +(-59)
-13n +780 = n -59
839 = 14n
839/14 = n = 59 13/14
The number is 59 13/14.
_____
Check
The difference between the number and 60 is
59 13/14 -60 = -1/14
-13 times that value is
-13*(-1/14) = 13/14
Compare that to the number plus -59
59 13/14 -59 = 13/14 . . . . . the same value, as required.