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3 years ago

Which function has zero at x=10 and x=2

Mathematics

1 answer:

Marizza181 [45]3 years ago

3 0

Answer:

Step-by-step explanation: A function y=(x-10)(x-2) will have its zeros at x=10 and x=2. y=x²-12x+20.

Step-by-step explanation:

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George makes $20 an hour. He already has $53. The new super life-size Charizard stuffed animal is $623. What is the equation tha

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3 years ago

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Find the surface area of the prism. Enter your answer in the box. A rectangular prism with dimensions 6 meters by 3 meters by 12

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Given:

Dimensions of a rectangular prism are 6 meters by 3 meters by 12 meters.

To find:

The surface area of the prism.

Solution:

The surface area of a rectangular prism is:

$A=2(lb+bh+hl)$

Where, l is length, b is breadth and h is height.

Putting $l=6,b=3,h=12$ , we get

$A=2(6\times 3+3\times 12+12\times 6)$

$A=2(18+36+72)$

$A=2(126)$

$A=252$

Therefore, the surface area of the prism is 252 square meters.

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2 years ago

F(x) = 3x + x3

____ [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

$\frac{d}{dx}\left(3x+x^3\right)$

$\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'$

$=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

solving

$\frac{d}{dx}\left(3x\right)$

$\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'$

$=3\frac{d}{dx}\left(x\right)$

$\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1$

$=3\cdot \:1$

$=3$

now solving

$\frac{d}{dx}\left(x^3\right)$

$\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}$

$=3x^{3-1}$

$=3x^2$

Thus, the expression becomes

$\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

$=3+3x^2$

Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 = 3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

$x=2,\:x=-2$

Thus, the value of x will be:

$x=2,\:x=-2$

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2 years ago

How many 1 inch cubes do you need to fill a cube with an edge length of 7/12 foot

grigory [225]

Answer:

[you need 343 1 inch cubes]

Step-by-step explanation:

A foot has 12 inches. So if the edge length is 7/12 of a foot, that means that the edge length is 7 inches.

——————

[volume of a cube if the edge length is L, is L x L x L or L cubed]

A one inch cube has an edge length of 1. That means the volume of this cube is 1 x 1 x 1 = 1 inch cubed

——————

This big cube, has an edge length of 7 inches. So the volume is 7 x 7 x 7 = 343 inches cubed.

To find how many 1 inch cubes do you need to fill a 7 inch cube, you divide 343 by 1:

343/1=343 so you need 343 1 inch cubes.

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3 years ago

Line segment BD is a diameter of circle E. What is the measure of arc ?

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Answer:

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