Answer:
$8.50
Step-by-step explanation:
$29.75 / 3.5 hours = $8.50 per hour
Answer:
-7.9x+12.3
Step-by-step explanation:
Answer: c=5.4
The two roots are 3/5 and 9/5
Step-by-step explanation:
assume 5x2−12x c=0 is supposed to be 5x^2 - 12x + c = 0
p = (12 + sqrt(144-20c))/10
q = (12 - sqrt(144-20c))/10
p-3q=0,
1.2 + 0.1sqrt(144-20c) +
-3.6 + 0.3sqrt(144-20c) = 0
-2.4 + 0.4sqrt(144-20c) +2.4 = 2.4
sqrt(144-20c) = 2.4/0.4 = 6
144-20c=36
144-36=20c
c = 108/20 = 5.4
5x^2-12x+5.4=0
x = 3/5 or x = 9/5
The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k can be written as,
![xy=k\\\\(7) \times (3 ) =k\\\\k= 21](https://tex.z-dn.net/?f=xy%3Dk%5C%5C%5C%5C%287%29%20%5Ctimes%20%283%20%29%20%3Dk%5C%5C%5C%5Ck%3D%2021)
Hence, the value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.
Learn more about Equation:
brainly.com/question/2263981
Answer:
![\large\boxed{a=-3,\ b=-7\ and\ c=3}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Ba%3D-3%2C%5C%20b%3D-7%5C%20and%5C%20c%3D3%7D)
Step-by-step explanation:
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
We have:
<em> subtract 7a from both sides</em>
![-3a^2-7a=7a-7a-3](https://tex.z-dn.net/?f=-3a%5E2-7a%3D7a-7a-3)
<em>add 3 to both sides</em>
![-3a^2-7a+3=-3+3\\\\-3a^2-7a+3=0\to a=-3,\ b=-7, c=3](https://tex.z-dn.net/?f=-3a%5E2-7a%2B3%3D-3%2B3%5C%5C%5C%5C-3a%5E2-7a%2B3%3D0%5Cto%20a%3D-3%2C%5C%20b%3D-7%2C%20c%3D3)