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Andrew [12]
2 years ago
7

PLEASE SOLVE QUESTION 13 AND 14 DONT STEAL THE POINTS ​

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
3 0

Answer:

See below for solution.

Step-by-step explanation:

Q13) \frac{\sqrt{11} - \sqrt{5} }{\sqrt{11}+\sqrt{5}  } = x - y\sqrt{55}

<u>LHS :-</u>

= \frac{\sqrt{11} - \sqrt{5} (\sqrt{11}-\sqrt{5})  }{\sqrt{11}+\sqrt{5} (\sqrt{11}-\sqrt{5})  }

= \frac{11-2\sqrt{55}+5 }{11 - 5}

= \frac{16-2\sqrt{55} }{6}

= \frac{2(8-\sqrt{55}) }{2(3)}

= \frac{8-\sqrt{55} }{3}

=> x = 8/3 and y = 1/3

=> <u>Option B</u>

<u></u>

<u></u>Q14) \frac{4}{216^{-2/3} } + \frac{1}{256^{-3/4} } + \frac{2}{243^{-1/5} }

= 4 x (∛216)² + (\sqrt[4]256})³ + 2 x (\sqrt[5]{243})

= 4 x 36 + 64 + 2 x 3

= 144 + 64 +6

= 144 + 70

= <u>214</u>

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Answer:

Part a) a=4g+10 (see the explanation)

Part b) see the explanation

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Step-by-step explanation:

<u><em>The complete question is</em></u>

With a family bowling pass, families can bowl for $4 per game. The pass costs $10 per year. Use an equation, a table, and a graph to explain the relationship between the total amount of money spent on bowling in a year, a, and the number of games a family plays in a year, g. Part A Use words and an equation to represent this problem. Part B Create a table to show values for g and a. Part C Use the values from your table to draw a graph.

Part A) Use words and an equation to represent this problem

Let

a ----> the total amount of money spent on bowling in a year

g ---> the number of games a family plays in a year

we know that

The linear equation in slope intercept form is equal to

a=mg+b

where

m is the slope or unit rate

b is the a-intercept or initial value

In this problem we have

m=\$4\ per\ game

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substitute

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Part b) Create a table to show values for g and a

Assume different values of g and calculate the corresponding values of a

For g=0 ----> a=4(0)+10=\$10

For g=1 ----> a=4(1)+10=\$14

For g=2 ----> a=4(2)+10=\$18

For g=3 ----> a=4(3)+10=\$22

For g=4 ----> a=4(4)+10=\$26

The table is

\left[\begin{array}{ccc}g&a\\0&10\\1&14\\2&18\\3&22\\4&26\end{array}\right]

Part c) Use the values from your table to draw a graph

we have the ordered pairs

(0,10),(1,14),(2,18),(3,22),(4,26)

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The problem is our equation doesn't match up quite so well with the formula y = mx + b. Our slope or <em>m</em> which is represented by the coefficient of the <em>x</em> <em>term</em> is clearly +4 but what is our y-intercept or b?

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