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3 years ago

H(x)=-1/3x^2+2x-4 graph the equation

1 answer:

4 0

You should be able to note that this is a parabola which opens downward. Taking the derivative and setting it to -0- will yield the max of the equation, That is

$y=-\frac{1}{3} x^{2} +2x-4$ ⇒ $\frac{dy}{dx} =-\frac{2}{3} x+2=0$ ⇒ $x=3$

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A cylinder has a height of 6 millimeters and a radius of 12 millimeters. What is its volume? Use ≈ 3.14 and round your answer

Dafna1 [17]

Answer:

2712.96 mm³

Step-by-step explanation:

V = πr²h

= 3.14 x 12 x 12 x 6

= 37.68 x 72

= 2712.96 mm³

6 0

2 years ago

Read 2 more answers

Right the point-slope form of the line that passes through negative (7,8) and has a slope of -5

Delicious77 [7]

Answer:

$y-8=-5(x-7)$

Step-by-step explanation:

we know that

The equation of the line in point slope form is equal to

$y-y1=m(x-x1)$

we have

$m=-5\\(x1,y1)=(7,8)$

substitute

$y-8=-5(x-7)$

4 0

4 years ago

Pls solve this question

just olya [345]

Answer:

${( \sqrt{ {x}^{ - 3} }) }^{5} = ({( {x}^{ - 3}) }^{ \frac{1}{2} } ) ^{5} \\ \\ = {x}^{ - 3 \times \frac{1}{2} \times 5} = {x}^{ - \frac{15}{2} } = \frac{1}{ {x}^{ \frac{15}{2} } }$

<em><u>Or ;</u></em>

${( \sqrt{ {x}^{ - 3} } )}^{5} = {( \sqrt{ \frac{1}{ {x}^{3} }} })^{5} = ( { \frac{ \sqrt{1} }{ \sqrt{ {x}^{3} } } })^{5} \\ \\ = ( { \frac{1}{ \sqrt{x} \sqrt{ {x}^{2} } } })^{5} = ({ \frac{1}{ x\sqrt{x} }})^{5} \\ \\ = ( \frac{ {(1)}^{5} }{ {x}^{5} ( \sqrt{x} )^{5} } ) = \frac{1}{ {x}^{5} \times {x}^{ \frac{1}{2} \times 5 } } \\ \\ = \frac{1}{ {x}^{5} \times {x}^{ \frac{5}{2} } } = \frac{1}{ {x}^{5} \sqrt{ {x}^{5} } } \\ \\ = \frac{1}{ {x}^{5} \sqrt{ {x}^{4} {x}^{1} } } = \frac{1}{ {x}^{5} \sqrt{x} \sqrt{( { {x}^{2} })^{2} } } \\ \\ = \frac{1}{ {x}^{5} {x}^{2} \sqrt{x} } = \frac{1}{ {x}^{7} \sqrt{x} } = \frac{ \sqrt{x} }{ {x}^{8} }$

3 0

2 years ago

Can someone please explain how to do this problem for me?

ICE Princess25 [194]

Answer: The other person eats 5/6ths of a pizza

Step-by-step explanation:

put it into sixths

3 0

3 years ago

Read 2 more answers

What is the image of (6,-6) after a dilation by a scale factor of 4 centered at the origin

skelet666 [1.2K]

9514 1404 393

Answer:

(24, -24)

Step-by-step explanation:

Dilation centered at the origin multiplies each coordinate by the dilation factor.

image = 4 × (6, -6)

image = (24, -24)

6 0

3 years ago