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3 years ago

3. Graph y=-4x² – 2 and its inverse. (1 point)

Mathematics

1 answer:

madam [21]3 years ago

6 0

Function and its inverse was graphed.

Step-by-step explanation:

y = -4x²- 2

To find the inverse function of y = -4x²- 2 we have to transform the formula to calculate x in terms of y.

y = -4x²- 2

-4x² = y - 2

x = √(y-2) / -4

Now we can change the letters to follow the convention that x is the independent variable and y is the function's value:

y = √(x-2) / -4

Now we have to draw the graph as,

It was side by side that is LHS is the function and the RHS is its inverse.

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Read 2 more answers

Jana joined a music club that offered her 5 CDs for a total of 3.00 if she agreed to purchase an additional 10 CDs for 15.00 eac

Hunter-Best [27]

Answer:

Average price, excluding taxes, for each CD is 10.20.

Step-by-step explanation:

Given:

Cost of first 5 CDs, $C_1 = 3.00$

Cost of each additional CD = 15.00

Now, cost of 10 additional CDs is the product of cost of one CD and total number of additional CDs. Therefore,

Cost of 10 additional CDs is, $C_2=15.00\times 10=150.00$

Now, total CDs purchased by Jana are, $N=5+10=15$

Total cost of the 15 CDs purchased is given as:

$C_T=C_1+C_2=3.00+150.00=153.00$

Now, average price, excluding taxes, for each CD is given as:

$\textrm{Average price}=\frac{\textrm{Total cost of purchase}}{\textrm{Total number of CDs purchased}}\\\\\textrm{Average price}=\frac{C_T}{N}=\frac{153.00}{15}=10.20$

Therefore, the average price, excluding taxes, for each CD is 10.20.

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3 years ago