We have that
<span>(x+2)(y+3)=0
we know that
Part A)
the x-intercept is when y=0
for y=0
</span>(x+2)(0+3)=0--------> (x+2)*3=0------> 3x+6=0----> 3x=-6----> x=-2
the point is (-2,0)
Part B)
the y-intercep is when x=0
for x=0
(0+2)(y+3)=0-----> 2*(y+3)=0-----> 2y+6=0----> y=-6/2-----> y=-3
the point is (0,-3)
Answer:
x<48.84
Step-by-step explanation:
all work is shown
Taking 6:00 AM as the starting point and time in minutes from the starting point, You get to the bust stop at 76 min.
(a) Every 9 minutes, bus run from the bus stop. So the last bus was on 72 min. So you are 4 min late. Therefore you have to wait for, 9 - 4 = 5 min.
(b) As shown earlier, you arrived 76 min after the buses begin running.
(c) The first time is 9 minutes after the starting time, which is 6:09 AM.
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Answer:
-19.8
Step-by-step explanation:
-3 x 6 = -18
-0.3 x 6 = -1.8
add together: -18 + -1.8 = -19.8
Answer:
Dimensions to minimize surface are is 28 ft x 28 ft x 14 ft
Step-by-step explanation:
The Volume of a box with a square base of say;x cm by x cm and height
h cm is;
V = x²h
Now, the amount of material used is directly proportional to the surface area, hence we will minimize the amount of material by minimizing the surface area.
The formula for the surface area of the box described is given by;
A = x² + 4xh
However, we need A as a function of
only x, so we'll use the formula;
V = x²h
V = x²h = 10,976 ft³
So,
h = 10976/x²
So,
A = x² + 4x(10976/x²)
A = x² + 43904/x
So, to minimize the area, it will be at dA/dx = 0.
So,
dA/dx = 2x - 43904/x² = 0
Factorizing out, we have;
2x³ = 43904
x³ = 43904/2
x³ = 21952
x = ∛21952
x = 28 ft
since, h = 10976/x²
h = 10976/28² = 14 ft
Thus,dimension to minimize surface are is 28 ft x 28 ft x 14 ft
