Answer:
Step-by-step explanation:
Remark
You can do this with just 1 unknown.
John = x
Tom = 2x
Solution
x + 2x = 27 Combine the left
3x = 27 Divide by 3
3x/3 = 27/3
x = 9
Conclusion
John invited 9
Tom invited 18
y - 3
g(y) = ------------------
y^2 - 3y + 9
To find the c. v., we must differentiate this function g(y) and set the derivative equal to zero:
(y^2 - 3y + 9)(1) - (y - 3)(2y - 3)
g '(y) = --------------------------------------------
(y^2 - 3y + 9)^2
Note carefully: The denom. has no real roots, so division by zero is not going to be an issue here.
Simplifying the denominator of the derivative,
(y^2 - 3y + 9)(1) - (y - 3)(2y - 3) => y^2 - 3y + 9 - [2y^2 - 3y - 6y + 9], or
-y^2 + 6y
Setting this result = to 0 produces the equation y(-y + 6) = 0, so
y = 0 and y = 6. These are your critical values. You may or may not have max or min at one or the other.
Answer:
0.1%
Step-by-step explanation:
138 into a percent=1.38%
156 into a percent=1.56%
175 into a percent=1.75%
1.38-1.56=0.18
1.56-1.75=0.19
0.19-0.18= <u>0.1%</u>
Answer:
The solution for the system of equations is
x=2,y=−2
Explanation:
4x−3y=14.....equation (1)
y=−3x+4.....equation (2)
Solving by substitution
Substituting equation 2 in equation 1
4x−3⋅(−3x+4)=14
4x+9x−12=14
13x=14+12
13x=26
x=2
Finding y by substituting x in equation 1
4x−3y=14
4⋅2−3y=14
8−3y=14
8−14=3y
3y=−6
y=−2
The answer to this question is C.
