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3 years ago

I need help for this question

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

6 0

Answer:

Step-by-step explanation:

$12.00 - the total cost of 4 of equally priced gloves

$12.00 : 4 = $3.00 - the cost of 1 glove

The cost per glove is increased by $1.00. Therefore new cost of 1 glove is

$3.00 + $1.00 = $4.00

The total cost of 9 of gloves at the new price:

9 × $4.00 = $36.00

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Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

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$y = ab^x$

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$y = ab^x$

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Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

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$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

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