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tester [92]
3 years ago
15

Identify the discontinuity and zero of the function f(x) = 3x/x^2-9

Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

ANSWER

Point if discontinuity:

{x}=  \pm3

Zero of the function is

x = 0

EXPLANATION

The given rational function is:

f(x) =  \frac{3x}{ {x}^{2}  - 9}

This function is not continous when

{x}^{2}  - 9 = 0

{x}=  \pm \sqrt{9}

{x}=  \pm3

The function is zero when,

3x = 0

x = 0

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A lidless box is to be made with a volume of 256256 ft cubed 3. Find the dimensions of the box that requires the least amount of
sveta [45]

The optimum shape of such a box is half a cube. The corresponding cube will have a volume of 2×256 ft³ = 512 ft³ = (8 ft)³. Such a box has a square base that is 8 ft on a side. If the height is half that of the cube, it will be 4 ft.

The dimensions of your box will be 8 ft square by 4 ft high.

_____

If the base dimension is x ft, the area (quantity of material) is

... a = x² + 4x(256/x²)

... a = x² + 1024x⁻¹

Then the derivative of area with respect to x is

... a' = 2x -1024x⁻²

Setting this derivative to zero and solving for x gives the value of x for minimum area.

... 0 = 2x -1024/x²

... 512 = x³

... x = 8 . . . . . . . . same as above.

7 0
3 years ago
Reflect the following points over the<br> x-axis. (-5, -3) (-2,-6) (-4,-8)
viktelen [127]

Reflect over x-axis rule: (x,y) -> (x,-y)

(-5,3) --> (-5,-3)

(-2,-6) --> (-2,6)

(-4,-8) --> (-4,8)

8 0
3 years ago
PLEAAAAASE HELP MEEEE​
azamat

Answer:

The Answer is C

Step-by-step explanation:

4 0
3 years ago
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If 55 yards of dirt costs $825.00 what is the constant of proportionality?
IgorC [24]

Answer:$15 per yard

Step-by-step explanation: $825 divided by 55 = $15

6 0
3 years ago
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The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write
FrozenT [24]
The linear model of this case takes the form:

y = a(x-b) + k

<span>The cost of having a package delivered has a base fee of $9.70
this is "k" >>>>>  k=9.7 (fixed amount of fee)

THEN

</span>
<span>Every pound over 5 lbs cost an additional $0.46 per pound

that means: 0.46(x-5)
in other words, if the package weighs foe example 9 pounds, then 9-5=4, it will cost 0.46*4 for these 4 extra pounds

Finally we have the linear form of this: C = 0.46 (W - 5) + 9.7
</span>
3 0
3 years ago
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