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gtnhenbr [62]
3 years ago
8

Salma bought 3 CDs that were each the same price. Including sales tax, she paid a total of $44.70. Of that total, $2.10 was the

tax. What was the price of each CD before tax?
Mathematics
1 answer:
Bad White [126]3 years ago
4 0
44.7-2.10= 42.6
42.6/3= 14.20
Each CD costs $14.20
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The functions q and r are defined as follows.
UkoKoshka [18]
Q(3) = -2(3)+2 = -4
r(q(3)) = (-4)^2-1 = 15
3 0
3 years ago
Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
Rasek [7]

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
In ΔRST, the measure of ∠T=90°, RS = 90 feet, and TR = 76 feet. Find the measure of ∠S to the nearest tenth of a degree.
Rama09 [41]

Answer:

57.6

Step-by-step explanation:

6 0
3 years ago
Find the domain of the function algebraically:<br><br> <img src="https://tex.z-dn.net/?f=R%28x%29%3D%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D
BigorU [14]

The domain of the function is all real numbers except 2 and -1

Step-by-step explanation:

Domain is the set of inputs of a function on which the function is defined.

Given function is:

R(x) = \frac{x}{x^2-x-2}

In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined

x^2-x-2 = 0\\x^2-2x+x-2 = 0\\x(x-2)+1(x-2) = 0\\(x+1)(x-2) = 0\\x+1 = 0 => x=-1\\x-2=0 = > x=2

The function will be undefined on x=-1 and x=2

So,

The domain of the function is all real numbers except 2 and -1

Keywords: Domain, functions

Learn more about domain and functions at:

  • brainly.com/question/2150928
  • brainly.com/question/2154850

#LearnwithBrainly

7 0
4 years ago
Mary traveled 200 miles at an average rate of 50 miles per hour. how did it take her?
almond37 [142]
It took her 4 hours.

Since she travels 50 miles in just one hour, in four hours she could drive 200 miles. :)
6 0
3 years ago
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