The simple way to dilate from the origin is to multiply each coordinate by the dilation factor.
Example:
point A(2,-4) dilated by 2
A'(2*2, -4*2) = A'(4, -8)
Point A dilated by 1/2
A''(2*1/2, -4*1/2) = A''(1, -2)
If you have multiple points dilated by the same factor, then follow the procedure for ALL the points
I hope this helps you
5x^2+30x+65=0
5 (x^2+6x+13)=0
x^2+6x+13=0
a=1 b=6 c=13
disctirminant=b^-4ac
disctirminant=6^2-4.1.13
disctirminant=36-52
disctirminant= -16
x1= -6+square root of -16/2.1
x1= -6+4i/2=2i-3
x2= -6- square root of -16/2.1
x2= -6-4i/2= -3-2i
Answer:
(-5/6)x - 1
Step-by-step explanation:
the equation is given by: y = mx + b
m = slope
b = y intercept
m = -5/6
y intercept = -1
f(x) = (-5/6)x - 1
A(h)=4h+70, A(h)=dollars to rent for h hours, h=hours rented.
B(h)=5h+60, same variable explanations...
....
To compare the two values at 6 hours you have:
A(6)=4(6)+70=24+70=$94
B(6)=5(6)+60=30+60=$90
So at 6 hours Company B would charge $4 less than Company A
...
Savings at 7 hours of rental by using B instead of A is:
S(h)=A(h)-B(h)
S(h)=4h+70-5h-60
S(h)=-h+10
S(7)=-7+10=$3
So at 7 hours, Company B saves you $3.
