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3 years ago

11

Hey square piano has an area of 200 ft.² how long is each side of the piano to the nearest 0.05

1 answer:

sergey [27]3 years ago

4 0

Since all sides of the square are equal, therefore area of square can be calculated using the following rule:
area of square = side^2
200 = (side length)^2
therefore,
the length of each side is sqrt(200) = 14.14 ft

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If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?

andrew11 [14]

<h2>Hello!</h2>

The answer is:

The domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

<h2>Why?</h2>

This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.

Composite function is equal to:

$f(g(x))=(f\circ} g)(x)$

So, the given functions are:

$f(x)=x+7\\\\g(x)=\frac{1}{x-13}$

Then, composing the functions, we have:

$f(g(x))=\frac{1}{x-13}+7\\$

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.

If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.

So, the domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

Have a nice day!

5 0

3 years ago

Which of the following describes the “p/2” in the expression above?

julia-pushkina [17]

Option B. Quotient is the right answer

Step-by-step explanation:

Given expression is:

p/2 +4(7+p)

Let us look at the options one by one

<u>A. factor</u>

p/2 is not a factor as the factor is always multiplied with another factor

<u>B. quotient</u>

This is the right answer as p is being divided by 2. The quotient of both will be used for further calculations

Hence,

Option B. Quotient is the right answer

Keywords: MCQs, Expressions

Learn more about polynomial expressions at:

#LearnwithBrainly

5 0

3 years ago

Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2

laila [671]

The function of the polynomial is (b) $f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)$

From the graph, we have the following highlights

The graph crosses the x-axis at x = -1 and x = 3
The graph touches the x-axis at x = -2

The above highlights mean that:

The function has a multiplicity of 1 at x = -1 and x = 3
The function has a multiplicity of 2 at x = -2

So, the function of the polynomial is:

$f(x) =a(x + 2)^2(x + 1)(x - 3)$

Assume a = 1.

So, we have:

$f(x) =1(x + 2)^2(x + 1)(x - 3)$

Multiply

$f(x) =(x + 2)^2(x + 1)(x - 3)$

Hence, the function of the polynomial is (b) $f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)$

Read more about polynomial graphs at:

brainly.com/question/8878887

8 0

2 years ago

Walter and Helen are asked to paint a house. Walter can paint the house by himself

Rudik [331]

Answer:

it will take 28 hour which is 1 day 4 hour

Step-by-step explanation:

if they work together thats mean we have to add. we have to add 12+16 which is equal to 28 hour.....

hope ot helps

4 0

2 years ago

A patio has an area of 1420 square feet. If the length is 45 1/2, what is the width

Anni [7]

[ Answer ]

$\boxed{Width \ = \ 31\frac{19}{91} \ Ft^{2}}$

[ Explanation ]

Area = 1420

Width = $45\frac{1}{2}$

Area For Rectangle: Length · Width

Use division to find width:

1420 ÷ $45\frac{1}{2}$

Convert mixed numbers to fractions:

1420 = $\frac{1420}{1}$

$45\frac{1}{2}$ = $\frac{91}{2}$

$\frac{1420}{1}$ ÷ $\frac{91}{2}$

Use mixed multiplication:

$\frac{1420*2}{1*91}$

= $\frac{2140}{91}$

Simplify:

= $31\frac{19}{91}$

$\boxed{[ \ Eclipsed \ ]}$

7 0

2 years ago