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2 years ago

12

a music store is having a clearance sale. all items are discounted by 30%. what is the sale price of a radio that regularly cost

s $50?

1 answer:

My name is Ann [436]2 years ago

6 0

Since the discount is 30%, then the sale is = 100% - 30% = 70% of the cost

= 70% of 50

= (70/100) * 50

= 0.7 * 50 = 35

Therefore sale = $35

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Which polynomial is in standard form? A) 26x^5+12x^7-8x^3+6x

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It's C. In order to be in standard form you have to have all your exponents in descending order. They don't all have to be there in order, the ones that are just have to go from highest to lowest.

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Stephen record the growth of a plant over 10 weeks for his science project he made a graph that shows how much the plant group e

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Answer:

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If you substitute the points (5,8) you get:

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Step-by-step explanation:

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2 years ago

4TH TIME ASKING THIS!!! Please help me! Someone pleaseeee. I need the correct answers. I don’t want to fail

Alexeev081 [22]

Answer:

The functions are inverses; f(g(x)) = x ⇒ answer D

$h^{-1}(x)=\sqrt{\frac{x+1}{3}}$ ⇒ answer D

Step-by-step explanation:

* <em>Lets explain how to find the inverse of a function</em>

- Let f(x) = y

- Exchange x and y

- Solve to find the new y

- The new y = $f^{-1}(x)$

* <em>Lets use these steps to solve the problems</em>

∵ $f(x)=\sqrt{x-3}$

∵ f(x) = y

∴ $y=\sqrt{x-3}$

- Exchange x and y

∴ $x=\sqrt{y-3}$

- Square the two sides

∴ x² = y - 3

- Add 3 to both sides

∴ x² + 3 = y

- Change y by $f^{-1}(x)$

∴ $f^{-1}(x)=x^{2}+3$

∵ g(x) = x² + 3

∴ $f^{-1}(x)=g(x)$

∴ <u><em>The functions are inverses to each other</em></u>

* <em>Now lets find f(g(x))</em>

- To find f(g(x)) substitute x in f(x) by g(x)

∵ $f(x)=\sqrt{x-3}$

∵ g(x) = x² + 3

∴ $f(g(x))=\sqrt{(x^{2}+3)-3}=\sqrt{x^{2}+3-3}=\sqrt{x^{2}}=x$

∴ <u><em>f(g(x)) = x</em></u>

∴ The functions are inverses; f(g(x)) = x

* <em>Lets find the inverse of h(x)</em>

∵ h(x) = 3x² - 1 where x ≥ 0

- Let h(x) = y

∴ y = 3x² - 1

- Exchange x and y

∴ x = 3y² - 1

- Add 1 to both sides

∴ x + 1 = 3y²

- Divide both sides by 3

∴ $\frac{x + 1}{3}=y^{2}$

- Take √ for both sides

∴ ± $\sqrt{\frac{x+1}{3}}=y$

∵ x ≥ 0

∴ We will chose the positive value of the square root

∴ $\sqrt{\frac{x+1}{3}}=y$

- replace y by $h^{-1}(x)$

∴ $h^{-1}(x)=\sqrt{\frac{x+1}{3}}$

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2 years ago

Charles bought 7/8 foot of electrical wire and 5/6 foot of copper wire for his science project .What is the least common denomin

coldgirl [10]

Answer:

The least common denominator of the fractions is 24

Step-by-step explanation:

we know that

The <u>least common denominator</u> (LCD) is the smallest number that can be a common denominator for a set of fractions

so

we have

7/8

Multiples of 8 -------> 8,16,24,32,...

5/6

Multiples of 6 -------> 6,12,18,24,...

24 is a common multiple of 6 and 8. It is their lowest common multiple

<em>Alternative Method</em>

we have

$8=2^{3}$

$6=2*3$

The least common multiple are those common and non-common numbers with the greatest exponent

so

$lcm= 2^{3}*3=24$

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3 years ago