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Hatshy [7]
3 years ago
6

Help me asap!!!!!!! please!!!

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
6 0

Answer:

  see attachment

Step-by-step explanation:

The applicable property of exponents is ...

\sqrt[n]{x^m}=x^{\frac{m}{n}}

The 4th selection uses this property directly. The 3rd selection uses the property

(a^b)^c=a^{bc}

to show that the cubes of the two expressions are equivalent. Since all the numbers involved are real numbers, this is equivalent to showing the expressions equivalent.

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Three hot dogs and two hamburgers cost $8.00 two hot dogs and three hamburgers cost $8.25. How much does one hot dog cost?
navik [9.2K]

The cost of 1 hot dog is $ 1.5

<em><u>Solution:</u></em>

Let "x" be the cost of 1 hot dog

Let "y" be the cost of 1 hamburger

From given,

<em><u>Three hot dogs and two hamburgers cost $8.00</u></em>

3x + 2y = 8 ------- eqn 1

<em><u>two hot dogs and three hamburgers cost $8.25</u></em>

2x + 3y = 8.25 ------- eqn 2

<em><u>Solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 2</u></em>

6x + 4y = 16 ------ eqn 3

<em><u>Multiply eqn 2 by -3</u></em>

-6x - 9y = - 24.75 ------- eqn 4

<em><u>Add eqn 3 and eqn 4</u></em>

6x + 4y = 16

-6x - 9y = - 24.75

( +) -----------------

-5y = -8.75

5y = 8.75

y = 1.75

<em><u>Substitute y = 1.75 in eqn 1</u></em>

3x + 2(1.75) = 8

3x = 8 - 3.5

3x = 4.5

x = 1.5

Thus cost of 1 hot dog is $ 1.5

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The two functions are 1st degree polynomial, so they are both lines.

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f(x)=3x-2 \implies f(0)=-2,\quad f(1)=1

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f^{-1}(x)=\dfrac{x}{3}+\dfrac{2}{3} \implies f(0)=\dfrac{2}{3},\quad f(3)=1

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If you draw the two points for each line and connect the pairs, you'll have the two lines.

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(26/13) (-7) + 14 - 4

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A group of students made trees out of paper for a scene in a school play. The trees are shaped like square pyramids.
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Step-by-step explanation:

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