A)
The discriminant (radicand) is √(b^2-4ac), let us call this "d" for the discriminant.
If:
d<0, there are no real solutions (though there are two imaginary ones)
d=0, there is one real solution
d>0, there are two real solutions.
In this case, d=12^2-4(4)9
d=144-144
d=0
So there is one real solution.
B)
9x^2-30x+25=0
9x^2-15x-15x+25=0
3x(3x-5)-5(3x-5)=0
(3x-5)(3x-5)=0
(3x-5)^2=0
x=5/3
x=1 2/3
Answer:
Step-by-step explanation:
Given radius
and arc length
.
Answer:
y intercept is 140, slope is 2/1
Step-by-step explanation:
sorry, not sure about the function
I think it is reasonable. She will have extra cash (almost $500) but that isn't a bad thing when you are going on a vacation.
If you need to know how to do it, what I did was take the $48 and the 52 weeks and multiply them together to get $2,496.... But if you think in your own opinion it's not reasonable than say she could trim down her savings and only try to earn about 40 dollars each week; you get to the closer amount of $2,000 with $2,080...
I hope this helps. Choose for yourself though! <3 Good luck! (:
Answer:
You will break even on the car wash when you buy 13.5 gallons. As long as you buy that or more, it is cheaper to get the car wash.
Step-by-step explanation:
In order to find this, we need to create equations for both situations. If we let x equal the amount of gallons purchased, we can model the first equation as:
f(x) = 3.35x
And the second equation as:
f(x) = 3.05x + 4.05
Then to find when they equal each other, we can set the two equations equal to each other and solve for x.
3.35x = 3.05x + 4.05
0.30x = 4.05
x = 13.5
This means once you buy 13.5 gallons, the prices will be the same. Any amount over that and the car wash will be cheaper
