Answer:
2m + 22
Step-by-step explanation:
Use the distributive property.
2(m + 11)
2 x m = 2m
2 x 11 = 22
Therefore, 2m + 22
Answer:
x<-11/26
Step-by-step explanation:
1/5(2/3x-1/2)>x+1/3
2/15x-1/10>x+1/3
2/15x-x>1/3+1/10
-13/15x>11/30
x<(11/30)(-15/13)
x<-11/26
Step-by-step explanation:
Formula is:
x=(-b± √b^2-4ac)/2a
a= 1
b= -8
c= 17
x= (-(-8)±√64-4(1)(17))/2
x= (8±√-4)/2
now
x1= (8+√-4)/2
x2=(8-√-4)/2
Answer:
The rate of change = 3
Initial value = 2
Step-by-step explanation:
The linear function has the form ⇒ y = mx + c
Where m is the slope or the rate of change, and c is y-intercept.
Given: A linear function passes through the point (1,5)and (7,23)
So, m = (y₂-y₁)/(x₂-x₁) = (23-5)/(7-1) = 18/6 = 3
So, y = 3x + c
By substitution with the point (1,5)
So, at x = 1 , y = 5
5 = 3*1 + c
c = 5 - 3 = 2
∴ y = 3x + 2
so, the rate of change = 3
And initial value = 2
initial value is the value at which x = 0 which is the y-intercept
