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BaLLatris [955]

3 years ago

7

Riley is saving up to buy a new television. She needs a total of $1,368.80. Riley has saved $200.90 already and earns $77.86 per

week at her job. How many weeks does Riley need to work to save enough money to buy the new television?

1 answer:

ycow [4]3 years ago

3 0

Subtract 200.90 from 1368.80 then divide the answer by 77.86 ; it would take 15 weeks

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ddd [48]

Answer:

$f'(x) = 4x^2 - 3$ for $x \le -3$

Step-by-step explanation:

See attachment for proper question

Given

$f(x) = -\frac{1}{2}\sqrt{x + 3}$

For

$x \ge -3$

Required

Determine the inverse function

$f(x) = -\frac{1}{2}\sqrt{x + 3}$

Replace f(x) with y

$y = -\frac{1}{2}\sqrt{x + 3}$

Swap the positions of x and y

$x = -\frac{1}{2}\sqrt{y + 3}$

Multiply both sides by -2

$-2 * x =-2 * -\frac{1}{2}\sqrt{y + 3}$

$-2x =\sqrt{y + 3}$

Square both sides

$(-2x)^2 =(\sqrt{y + 3})^2$

$4x^2 =y + 3$

Make y the subject

$y = 4x^2 - 3$

The inverse has been solved. So, we need to replace y with f'(x)

$f'(x) = 4x^2 - 3$

Next, is to determine the interval

$x \ge -3$

Change inequality to $\le$

$x \le -3$

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$f'(x) = 4x^2 - 3$ for $x \le -3$

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3 years ago

If the cost of producing a product that sells for $40 is 72,000 plus $32.00 per piece, then how many products must be sold to br

lisabon 2012 [21]

we are given:

Selling price=$40.00

Fixed cost=$72000.00

Cost per piece=$32.00

Let x products be sold to break-even then

$\\ \ 40x=7200+32x\\ \\ \ \Rightarrow 40x-32x=7200\\ \\ \ 8x=7200\Rightarrow x=\frac{7200}{8}=900\\$

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