3 years ago

Determine the domain of the function. f(x) = 13/3-x

1 answer:

6 0

Hi..... the domain(D) will be:

$\mathtt {f(x)=\dfrac{13}{3-x}\rightarrow \boxed{D=\{x\in R\,|\,x\neq 3\}}}$

Thanks... :)

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A barn silo (except the top) is a cylinder. The silo is 10 m in diameter and the height is 24. What's the volume? (use 3.14 for

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2 years ago

Solve the system of equations by elimination. 2x+8y=10 -4x-9y=-13 x = y =

Reptile [31]

So use cancelation
multiply first equation by 2
2x+8y=10
times 2
4x+16y=20
now add

4x+16y=20
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0x+7y=7
7y=7
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subsittue

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2 years ago

The function h is given by h ( t ) = ( 1 − t ) ( 8 + 16 t ) models the height of a ball in feet, t seconds after it is thrown.

Elena-2011 [213]

9514 1404 393

Answer:

zeros: t = 1, t = -1/2
no: the domain of the function is t ≥ 0
8 feet

Step-by-step explanation:

The zeros are the values of t that make the factors zero.

1 -t = 0 ⇒ t = 1

8 +16t = 0 ⇒ t = -8/16 = -1/2

The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.

Only the positive zero is in the function's domain, so that is the only one that is meaningful.

When t = 0 (at the time the ball is thrown), the function value is ...

h(0) = (1 -0)(8 +0) = 8

The ball is thrown from a height of 8 feet.

7 0

2 years ago