Include sales tax 6% an inn charges $265 per night. find the cost before taxes

Can you help me solve it

Serhud [2]

Answer:

1. y

2 x

3 a

4 b

Step-by-step explanation:

4 0

3 years ago

A rectangular garden has an area of 360 square feet. the length of the garden is 9 feet longer than the width. find the dimensio

rosijanka [135]

$\huge\underline{\frak{ \: \: \: \: \: \: Solution : \: \: \: \: \: \: }} \\ \\$

$\frak {\pink{Let}}\begin{cases} \sf{\red{Breadth \: be \: x}}\\ \sf{\orange{The \: Length = x + 9}}\end{cases} \\$

$\bigstar \: \underline{\textsf{According to the given Question :} }\\ \\$

$:\implies \sf Area = Length \times Breadth \\ \\ \\$

$:\implies \sf 360=(x + 9 ) x \\ \\ \\$

$:\implies \sf 360= {x}^{2} + 9x \\ \\ \\$

$:\implies \sf {x}^{2} + 9x - 360 = 0\\ \\ \\$

$:\implies \sf {x}^{2} + 24x - 15x - 360 = 0\\ \\ \\$

$:\implies \sf x(x + 24) - 15(x + 24) = 0\\ \\ \\$

$:\implies \sf (x + 24) \: (x - 15) = 0\\ \\ \\$

$:\implies \underline{ \boxed{ \sf x = - 24 \: or \: x = 15}}\\ \\ \\$

$\therefore\:\underline{\textsf{Ignoring the negative value, the Breadth of rectangular garden is \textbf{15 ft}}}. \\ \\ \\$

$\bigstar \: \underline{\textsf{Dimensions of rectangular garden :}} \\ \\$

$\bullet\:\:\textsf{The Breadth of rectangular garden = x = \textbf{15 ft.}} \\ \\$

$\bullet\:\:\textsf{The Length of rectangular garden = x + 9 = 15 + 9 = \textbf{24 ft.}} \\ \\$

6 0

3 years ago

If f(x)=2x+3÷2,find f-1(x).

BartSMP [9]

The required inverse function $f^{-1}(x)$ = (2x - 3 ) / 4.

Given that,
f(x) = (2x+3) / 2

To find $f^{-1}(x)$

<h3>What are functions?</h3>

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Let f(x) = y
y = (2x + 3) / 2
y * 2 = 2x + 3
2y - 3 = 2x
x = (2y - 3) / 2
Now replace y = x and x = $f^{-1}(x)$
$f^{-1}(x)$ = (2x - 3 ) / 4

Thus, the required inverse function $f^{-1}(x)$ = (2x - 3 ) / 4.

Learn more about function here:

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3 0

2 years ago

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There are 21,611 more students enrolled in elementary school than middle school in a city district. If there are 16,247 students

Leviafan [203]

Answer:

37858

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Which equation does NOT represent a vertical asymptote of the graph of y=tanθ?

Digiron [165]

The value of theta where we do not have a vertical asymptote is θ = 0.

<h3>Where we do not have a vertical asymptote?</h3>

The vertical asymptotes happen when the denominator becomes equal to zero.

For our case, we have:

tan(θ) = sin(θ)/cos(θ).

So the vertical asymptotes are for the values of θ where the cosine is equal to zero. Particularly, cos(0) = 1, then in θ = 0 the denominator is not equal to zero, which means that at that value we do not have an asymptote.

Then the correct option is B.

If you want to learn more about asymptotes.

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7 0

2 years ago