Answer:
Solution is not correct.
Step-by-step explanation:
Given question is incomplete; Here is the complete question.
Is the solution shown in the attachment correct ?
9x + 2 = 8x² + 6x
We have to solve this equation with the help of quadratic formula,
-8x² + 9x + 2 = 6x
-8x² + 9x - 6x + 2 = 0
-8x² + 3x + 2 = 0
Quadratic formula of a standard quadratic equation (ax² + bx + c = 0) is,
x = ![\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%7B2a%7D)
By comparing our equation with the standard quadratic equation,
a = -8
b = 3
c = 2
By substituting the values of a, b and c in the quadratic formula,
x = ![\frac{-3\pm\sqrt{(3)^{2}-4(-8)(2)}}{2(-8)}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%5Cpm%5Csqrt%7B%283%29%5E%7B2%7D-4%28-8%29%282%29%7D%7D%7B2%28-8%29%7D)
x = ![\frac{-3\pm\sqrt{9+64} }{-16}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%5Cpm%5Csqrt%7B9%2B64%7D%20%7D%7B-16%7D)
x = ![\frac{9\pm\sqrt{73}}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B9%5Cpm%5Csqrt%7B73%7D%7D%7B16%7D)
Therefore, the given solution is not correct.
Yes she can. two ways to find the answer is to measure with an actual cup
Answer: she worked 8 hours at Job A
She worked 16 hours at Job B
Step-by-step explanation:
Let x represent the number of hours that she worked job A.
Let y represent the number of hours that she worked job B.
Kathy works two part-time jobs for a total of 24 hours a week. This means that
x + y = 24
Job A pays $6.00 per hour, and Job B pays $7.30 per hour and she made $164.80 for the week. it means that
6x + 7.3y = 164.80 - - - - - - -1
Substituting x = 24 - y into equation 1, it becomes
6(24 - y) + 7.3y = 164.80
144 - 6y + 7.3y = 164.80
- 6y + 7.3y = 164.80 - 144
1.3y = 20.8
y = 20.8/1.3 = 16
x = 24 - y = 24 -16
x = 8
Answer:
Option D
Step-by-step explanation:
9x=7x+14
9x-7x=14
2x=14
x=7