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3 years ago

Find a square root that lies between 17 and 18.

1 answer:

5 0

Easy
if x is the number
sqrt x is between 17 and 18

17<√x<18
squaer the whole thing
289<x<324
x could be 300
it could be sqrt of 300
√300=10√3

one is 10√3

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Find domain of the rational function C(x)=-x-5/x^2-25

iren2701 [21]

$\large\begin{array}{l} \textsf{Find the domais of the rational function:}\\\\ \mathsf{C(x)=\dfrac{x-5}{x^2-25}}\\\\\\ \textsf{Denominators can't be zero:}\\\\ \mathsf{x^2-25\ne 0}\\\\ \mathsf{x^2\ne 25}\\\\ \begin{array}{rcl} \boxed{\begin{array}{rcl}\mathsf{x\ne -5}&~\textsf{ and }~&\mathsf{x\ne 5}\end{array}} \end{array} \end{array}$

$\large\begin{array}{l} \textsf{So the domain of C is}\\\\ \mathsf{D_C=\{x\in\mathbb{R}:~~x\ne -5~~and~~x\ne 5\}}\\\\\\ \textsf{or using a more compact form}\\\\ \mathsf{D_C=\mathbb{R}\setminus\{-5,\,5\}}\\\\\\ \textsf{or in interval notation}\\\\ \mathsf{D_C=\left]-\infty,\,-5\right[\,\cup\,\left]-5,\,5\right[\,\cup\,\left]5,\,+\infty\right[\,.} \end{array}$

$\large\textsf{So pick up the one you prefer. They're equivalent ways}\\\textsf{to represent the domain.}$

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2184171

$\large\textsf{I hope this helps. :-)}$

Tags: domain rational function fraction denominator restriction algebra

4 0

3 years ago

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.

andrey2020 [161]

Answer:

Hey! The answer is 25,4 centimeters.

Step-by-step explanation:

In a linear function you can use y=mx+n

So if x = hours and y= height.

You know that

$\left \{ {{27,8=11m +n} \atop {24,8=26m +n}} \right.$

So:

If you multiply (24,8=26m +n) x-1

It is: -24,8 = -26m -n

Adding up the other equation

-24,8 = -26m -n

27,8 = 11m + n

3 = -15m

m= -0,2

27,8 = 11 x 0,2 + n

27,8 = -2,2 + n

30 = n

This results that te linear function for this equation is:

y = -0,2x + 30

The answer is

y=23(-0,2) + 30

y=-4,6+30

y=25,4

8 0

3 years ago

Solve for x. 1) 22x -2=20x+10

Ivanshal [37]

Answer:

x=6

Step-by-step explanation:

22x-2=20x+10

22x-20x=10+2

2x=12

x=6

8 0

2 years ago

Read 2 more answers

Tim has some marbles.

snow_tiger [21]

Answer:

Let x = the number of marbles Tim has

Let 2x = the number of marbles Sue has

x + 2x + 15 = 63

3x = 48

x = 16 marbles

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of e

emmainna [20.7K]

This question is incomplete, the complete question is;

Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x = y = z.

Answer:

the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

Step-by-step explanation:

Given that;

line x = y = z and point ( 3, 1, 2 )

the given line can be written as;

[x-0 / 1] = [y-0 / 1] = [z-0 / 1]

if two lines are parallel directional ratios are equal.

so DIRECTIONAL RATIOS of given line is ( 1, 1, 1 )

therefore required line is;

[x-3 / 1] = [y-1 / 1] = [z-2 / 1] = t

⇒ [x-3 / 1] = t

x = t+3

[y-1 / 1] = t

y = t+1

[z-2 / 1] = t

z = t+2

Therefore the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

8 0

3 years ago