*Assuming that you're looking at the same table in the attachment*
Brenda started out with
12 gal. of Gas.
Step-by-step explanation:
ax^2+bx+c=0
a=leading term
ok so if the leading term is positive then opens up and has a <u>min</u>
if leading term is negative then opens down and has a <u>max</u>
leading term is positive
1x^2+8x
it has a min
to complete the square, move c aside take 1/2 of b and square it
b=8
8/2=4
4^2=16
now add that to both sides
x^2+8x+16+6=0+16
factor perfect square
(x+4)^2+6=16
subtract 6
(x+4)^2=10
subtract 10
(x+4)^2-10=0
vertex aka min or max is (h,k) when ou have
y=a(x-h)+k
h=-4
k=-10
Answer:
D b = -2E +212
Step-by-step explanation:
The slope is given by -2 for every 1000 ft
The initial value is 212 degrees
We can use
y = mx+b where m is the slope and b is the initial value
y = -2x +212
We are at an elevation of E thousand ft
Replace x with E
y = -2 *E +212
b is the boiling point at this elevation
We replace y with b
b = -2E +212
Side a = 10.98991
Side b = 11.69522
Side c = 4
Angle ∠A = 70° = 1.22173 rad = 7/18π
Angle ∠B = 90° = 1.5708 rad = π/2
Angle ∠C = 20° = 0.34907 rad = π/9
Yes
because
when x =2 then y = -(2) - 2 = -4
so (2,-4) is a solution
hope it helps