Answer:
-124
Step-by-step explanation:
The equation for a discriminant is:

So for

a = 7 b = - 4 c = 5
Plug values into the equation.

16 - 140 = -124
The region describes a rectangle. F(x,y) is optimized at the intersecting points around the rectangle.
You can try plugging in (-3,-5) , (-3,4), (4,4) , (4,-5) and see which one gives you the largest value.
The max value of f(x,y) is at point (4,-5)
---> 4(4) - 7(-5) = 16 + 35 = 51
Answer:
Step-by-step explanation:
The slope intercept form of a line is y=mx+b where m=slope and b=y intercept. So we should solve for y.
3x/5+25y=10, multiply all terms by 5 and the denominator cancels out
3x+125y=50, subtract 3x from each side
125y=-3x+50, divide both sides by 125
y=(-3+50)/125
slope=m=-3/125
y intercept=b=2/5
I’ve attached my work below for #4
5) 8% is equivalent to 8 cents so each item was $1.08
Than you know he spent 16.20 so you divided
1.08/16.20 which equals 15
So he got 15 items
6) the moon is 250,000 miles away which is about driving around earth 10 times which would take 6 months (not sure about this one)
Hope this helps!
Have a nice day :)
Answer:
b = -1/10.
Step-by-step explanation:
(2i/2+i)-(3i/3+i)
= 2i(3 + i) - 3i(2 + i) / (2 + i)(3 + i)
= 6i + 2i^2 - 6i - 3i^2 / (2 + i)(3 + i)
= (-2 + 3) / (6 + 5i - 1)
= 1 / (5 + 5i)
Now we multiply top and bottom by 5 - 5i :
= 5 - 5i / (5 + 5i)(5 - 5i)
= 5 - 5i / 25 -25i^2
= 5 - 5i / 50
= 1/10 - 1/10i