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3 years ago

13

In the function y = 15.00x + 5, y represents the cost of a ticket to the fair and x represents the number of tickets purchased.

How much does the cost increase for every ticket purchased?

1 answer:

kkurt [141]3 years ago

4 0

For every ticket purchased, the cost will increase by $15.00 because x indicates that $15 is the unit rate for each ticket.

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lina2011 [118]

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3 years ago

Find the function f (x) =ax2 + bx+ c whose graph contains the points (1, 2), (-2,-7), and (2, -3). Write the system of equations

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3 years ago

Simplify the expression (3+8i) - (4+2i) pls show work!

uranmaximum [27]

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3 years ago

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

m_a_m_a [10]

Answer:

Required volume is $\frac{4864\pi}{3}$ unit.

Step-by-step explanation:

Given equations of curves,

$y=32-x^2$ , $y=x^2$

substitute second in first we will get,

$x^2=36-x^2\implies x^2=16\implies x=\pm 4$

When $x=4, y=16$ and $x=-4, y=16$ . Thus both curves intersect at the points (4,16),(-4,16). And thus $-4$ .

Considering width of the representative rectangle as $\Delta x$ which is parallel to x-axis because of considering cylindrical shell. Therefore volume of the shell is given by,

$V_{Shell}=(\textit{Length of box})\times (\textit{Width of box})\times (\textit{Thikness of box})$

Now,

Length of generating box=Length of $\Delta x$ from line x=4(axis of revolution)=circumference of the shell=(4-x)

Width of box= $(36-x^2)-x^2$

Hence,

$V_{Shell}$

$=\int_{-4}^{4}2\pi (4-x)(36-2x^2)dx$

$=2\pi\int_{-4}^{4}(144-36x-8x^2+2x^3)dx$

$=2\pi\{144\big[x\big]_{-4}^{4}-18\big[x^2\big]_{-4}^{4}-\frac{8}{3}\big[x^3\big]_{-4}^{4}+\frac{1}{2}\big[x^4\big]_{-4}^{4}\}$

$=\frac{4864\pi}{3}$

which is required volume of generating area.

3 0

3 years ago

Lin’s father is paying for a $20 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied.

Triss [41]

Answer:

The answer is $18.19cents

Step-by-step explanation:

20 dollars minus 15 percent is 17 dollars plus 7 percent tax is 18.19

Hope this helps.

3 0

3 years ago