Answer:
y = x+1
Step-by-step explanation
The equation in slope intercept form is expressed as y = MX+c
m a the slope
Get the slope of the line
Given the line x-y =9
-y = -x+9
y = x-9
Slope of the line is 1
Since it is parallel to the given line, the slope o the required line is also 1
Substitute m = 1 adnd (4,5) into the point slope form
y-y0 =m(x-x0)
y - 5 = 1(x-4)
y-5 = x-4
y= x-4+5
y = x+1
Hence the required equation is y = x+1
Answer:
D. All three functions have the same minimum value
Step-by-step explanation:
f(x) = -3 sin (x-pi) +2
Sin has a minimum value of -1, but since it is multiplied by a negative, we want its maximum value
sin has a maximum of 1
f (min) = -3(1) +2 = -1
g(x) has a minimum at x =3
g(minimum) = -1
h(x) = (x+7)^2 -1
The smallest a squared value can be is zero
= 0 -1
h(min) =-1
Answer:
k = 4
Step-by-step explanation:
f(x)=5x+k
Let x =2
f(2) = 5*2 +k
f(2) = 10+k
We know f(2) = 14
14 = 10+k
Subtract 10 from each side
14-10 = 10+k-10
4 =k
