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Free_Kalibri [48]

3 years ago

6

A 12 pack of cinnamin scented pencils sells for $3.00 at a school booster club sale .what is the sales tax rate if the total cos

t of the pencils is $3.21

1 answer:

Reptile [31]3 years ago

8 0

7 percent is the sales tax rate

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8 * 10e(-3) idk i used other websites and the answers were wrong

Travka [436]

The answer is -652.39 try that answer

7 0

3 years ago

Resolve into partial fractions<br><br>

lisabon 2012 [21]

Answer:

See below

Step-by-step explanation:

1)

$\frac{11 + x}{(2 - x)(x - 3)} = \frac{A}{2 - x} + \frac{B}{x - 3} \\ \\ \therefore \: \frac{11 + x}{(2 - x)(x - 3)} = \frac{A(x - 3) +B(2 - x) }{(2 - x)(x - 3)} \\ \\ \therefore \: 11 + x = Ax - 3A + 2B - Bx \\ \\ \therefore \: 11 + x = - 3A + 2B + Ax - Bx\\ \\ \therefore \: 11 + x = - 3A + 2B + (A - B)x \\ \\ equating \: the \: like \: terms \: on \: both \: sides \\ A - B = 1 \\ \therefore \: A = B + 1.....(1) \\ \\ - 3A + 2B = 11....(2) \\ from \: eq \: (1) \: and \: (2) \\ - 3(B + 1) + + 2B = 11 \\ \\ - 3B - 3 + 2B = 11 \\ \\ - B = 11 + 3 \\ \\ B = - 14 \\ A = - 14 + 1 = - 13 \\ \\ \frac{11 + x}{(2 - x)(x - 3)} = \frac{ - 13}{2 - x} + \frac{ - 14}{x - 3} \\ \\ \frac{11 + x}{(2 - x)(x - 3)} = - \frac{ 13}{2 - x} - \frac{ 14}{x - 3}$

2)

$\frac{12x + 11}{x^2 +x - 6}$

$=\frac{12x + 11}{x^2 +3x-2x - 6}$

$=\frac{12x + 11}{x(x +3) -2(x +3)}$

$\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{12x + 11}{(x +3) (x - 2)}$

$\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{A}{(x +3)}+\frac{B}{(x - 2)}$

$\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{A(x-2)+B(x+3)}{(x-2)(x+3)}$

$\therefore 12x + 11 = A(x-2)+B(x+3)$

$\therefore 12x + 11 = Ax-2A+Bx+3B$

$\therefore 12x + 11 = Ax+Bx-2A+3B$

$\therefore 12x + 11 = (A+B) x-2A+3B$

Equating like terms on both sides:

$A + B = 12\implies A = 12-B... (1)$

$- 2A + 3B = 11... (2)$

Solving equations (1) & (2), we find:

A = 5, B = 7

$\therefore \frac{12x + 11}{x^2 +x - 6}=\frac{5}{(x +3)}+\frac{7}{(x - 2)}$

3 0

3 years ago

I will mark brainliest answer quickly

Westkost [7]

Answer:

D

Step-by-step explanation:

please i want brainliest

3 0

2 years ago

What is the next term of the arithmetic sequence?<br> -3, -7, -11, -15,

Dmitriy789 [7]

Answer:

-19

Step-by-step explanation:

Take the second term and subtract the first term to find what we are adding (or subtacting ) each time

-7 -(-3) =

-7+3

-4

We are subtracting 4 each time

Subtract 4 from the next term

-15 -4 = -19

The next term is -19

7 0

3 years ago

Which is the graph of f(x) = 0.5(4)?

Llana [10]

Answer:an line thats not straight

Step-by-step explanation:

7 0

3 years ago