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Alexxx [7]
3 years ago
12

If a function is y = x - 8 , then what is the value of the function when x = 10

Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:

2

Step-by-step explanation:

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I WILL CHOOSE BRAINLIEST as long as it LOOKS correct<br><br> Solve 3 ( x − 4 ) = 12 x
omeli [17]

Answer:

The answer is (-4/3)

Step-by-step explanation:

3(x − 4) = 12x

Multiply (x – 4) by 3 we get,

3(x – 4) = 12x

3x – 12 = 12x

3x – 12x – 12 + 12 = 12x – 12x + 12

-9x = 12

-9x/(-9) = -12/9

x = -4/3

Thus, The value of x is -4/3

<u>-TheUnknownScientist 72</u>

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1 year ago
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The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i
kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

S=\pi r\sqrt{r^2+h^2}

and volume,

V=\frac{1}{3}\pi r^2 h

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

f(r,h)=\frac{1}{3}\pi r^2 h

subject to,

g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)

We know for maximum volume r\neq 0. So let \lambda be the Lagranges multipliers be such that,

f_r=\lambda g_r

\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})

\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)

And,

f_h=\lambda g_h

\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}

\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)

Substitute (3) in (2) we get,

\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})

\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)

\implies h^2=2r^2

Substitute this value in (1) we get,

\pi r\sqrt{h^2+r^2}=8

\implies \pi r \sqrt{2r^2+r^2}=8

\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252

Then,

h=\sqrt{2}(1.21252)\equiv 1.71476

Hence largest volume,

V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114

3 0
2 years ago
when you reverse the digits in a certain two-diget number you increase it value by 27. What is the number if the sum of its digi
Fynjy0 [20]
The number is = 10x+y
if reverse the digits, the number is: 10y+x
The sum fo its digits is =  x+y=5
I suggest this system of equations:
(10y+x)-(10x+y)=27    ⇒9y-9x=27
x+y=5
We can solve this system of equations by equaliztion method
x=5-y

9y-9(5-y)=27
9y-45+9y=27
18y=27+45
18y=72
y=72/18
y=4

x=5-y
x=5-4=1

The number is: 10x+y=10(1)+4=14

Answer: the number is 14
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The answer is F. 164 tickets were sold for $8 each
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HELP ASAP!!<br><br> Which equation represents a line which is parallel to the line y = -23 - 1?
Brrunno [24]

Answer: A and D

Explanation -

Parallel lines have the same slope

5 0
2 years ago
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