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4 years ago

Directions: Evaluate the solution 6) g(x) =- 2x + 5; Find g(-5) 6) in function notation?

Mathematics

1 answer:

harina [27]4 years ago

5 0

Answer:

g(-5) = 15

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

g(-5) = -2(-5) +5 = 10 +5

g(-5) = 15

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100+100 omg this is so tricky ooooo

amm1812

Answer:

200

Step-by-step explanation:

100+

100

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200

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4 years ago

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A cylindrical can, open at the top, is to hold 840 cm3 of liquid. Find the height and radius that minimize the amount of materia

ycow [4]

Answer:

the radius of the base is equal to $x=2\sqrt[3]{\frac{105}{\pi } }$

And the height is equal to:

$y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }$

Step-by-step explanation:

We write the volume function

$f(x,y)=840=\pi x^{2} y$ where x is the radius of the base and y is the height of the cylinder

$y=\frac{840}{\pi x^{2} }$

The surface of a cylinder is given by

$S(x)=\pi x^{2} +2\pi xy=\pi x^{2} +\frac{1680}{x}$ on the interval from 0 to infinity

We now determine the critical values by differentiating and making the equation equal to 0

$f'(x)=2\pi*x- \frac{1680}{x^{2}} =\frac{2\pi x^{3}-1680}{x^{2} } =0$

This equation have 2 complex solutions and one real solution

$x=2\sqrt[3]{\frac{105}{\pi } }$

For x=0 and infinity the equation goes to infinity also so the radius of the base is equal to $x=2\sqrt[3]{\frac{105}{\pi } }$

And the height is equal to:

$y=\frac{840}{\pi (2\sqrt[3]{\frac{105}{\pi } })^{2} }$

$y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }$

7 0

3 years ago

Find the m<3 if m<5=130 and m <4=70 equal

olga nikolaevna [1]

<2 + <5 = 180 this is a straight line

<2 + 150= 180

subtract 150 from each side

<2 = 30

<2 + <3 + <4 = 180 a triangle is 180 degrees

30 + <3 + 70 = 180

100 + <3 = 180

<3 = 80

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3 years ago

Tell whether the sequence is Arithmetic, Geometric, or Neither. -5, 95, 195, 295, 395

Arlecino [84]

Arithmetic
rule: +100

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4 years ago

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I really need help with this please ! I don't understand it, and I have a quiz tomorrow

erik [133]

You can do this by finding a number close to it, and then finding out how to do it.

For example with 63(square root sign), find out what is close to it.

7x7=49 while 8x8=64

Because of this, we now know that it is between 7 and 8 but is also really close to 8.

Our number could be 7.9

Hope this helped!!!

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3 years ago

Directions: Evaluate the solution 6) g(x) =- 2x + 5; Find g(-5) 6) in function notation?​

Directions: Evaluate the solution 6) g(x) =- 2x + 5; Find g(-5) 6) in function notation?