Slope of tangent line = dy/dx = 2x+3
k is y_intercept of tangent line
2x+3 = -1
x = -2
y = (-2)^2+3(-2)+1 = -1
tangent line passes through point (-2,-1)
k = x+y
k = -2 -1
k = -3
The answer is I believe b=70
Answer:
x=4
Step-by-step explanation:
180-58=26x+18
122=26x+18
122-18=26x
104=26x
4=x
Option c is correct formula
Answer: 16 men
32 women
38 children
Step-by-step explanation:
Let x represent the number of men in the group.
Let y represent the number if women in the group.
Let z represent the number of children in the group.
A group of 86 people consist of men women and children. This means that
x + y + z = 86 - - - - - - - - - - - - 1
There are twice as many women than there are men. It means that
x = y/2
There are 6 more children than there are women. This means that
z = y + 6
Substituting x = y/2 and z = y + 6 into equation 1, it becomes
y/2 + y + y + 6 = 86
multiplying through by 2, it becomes
y + 2y + 2y + 12 = 172
5y = 172 - 12 = 160
y = 160/5 = 32
x = y/2 = 32/2
x = 16
z = y + 6 = 32 + 6
z = 38
