Answer:
C) (1,0), and (-3,0)
Step-by-step explanation:
The parabola intercepts the x axis at points (1,0) and (-3,0).
Answer:
180cm^2
Step-by-step explanation:
split it into 2 different triangles one is 24 x 4 and the other is 24 x 11 then add them together
24 x 4 is 96/2 is 48
24 x 11 is 264/2 is 132
add 48 + 132 to get an answer of 180 cm^2
if anything doesnt seem right just comment and i will try and figure out what has gone wrong
hope this helps :)
This is a problem of maxima and minima using derivative.
In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:
V = length x width x height
That is:

We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:
Surface area of the square base =

Surface area of the rectangular sides =

Therefore, the total area of the cube is:

Isolating the variable y in terms of x:

Substituting this value in V:

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

Solving for x:

Solving for y:

Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ftWidth = 4 ftHeight = 2 ftAnd its volume is:
Answer:
The answer is 8
Step-by-step explanation:
6+2=8
The model for direct proportion is y = mx. Note that there is no "offset," no "y-intercept."
y = 6x represents direct proportion with a constant of proportionality 6. The other 2 choices are disqualified because of offset +6 or -6.