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3 years ago

7

A person can pay $37 for a membership to the science museum and then go to the museum for one dollar per visit. what is the maxi

mum number of visits a member of the science museum can make for a total cost of $119

1 answer:

jolli1 [7]3 years ago

3 0

The numbers of visits a member could go is 82 visits.

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Stan and Hilda can mow a lawn in 40 minutes if they work together. If Stan takes twice as long to mow the lawn as Hilda when wor

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4 years ago

Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two

Tom [10]

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are $x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333$

The sum of these x -coordinates is $\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}$

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, $3x + 27x^2=2$ and we solve for x

$3x+27x^2-2=2-2\\27x^2+3x-2=0\\\left(27x^2-6x\right)+\left(9x-2\right)\\3x\left(9x-2\right)+\left(9x-2\right)\\\left(9x-2\right)\left(3x+1\right)=0$

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

$9x-2=0\\9x=2\\x=\frac{2}{9}$

$3x+1=0\\3x=-1\\x=-\frac{1}{3}$

The solutions are:

$x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333$

The sum of these x -coordinates is

$\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}$

We can check our work with the graph of the two polynomials.

4 0

4 years ago

K-⅖ =-9 ½ show steps

S_A_V [24]

Answer:

No solution (if the fractions were squared)

Step-by-step explanation:

If you multiply by 5..you would get k^2=-1/243. Since you can't have a negative squared, you would have no solution

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3 years ago

What is the length of the line segment joining the points A(3, - 5) and B(-5,1)?

Anna [14]

√26 would be your answer

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3 years ago

Sam’s Swimming Pool Cleaning has an annual gross profit of $88,400. Sam charges $25 per week for each of his customers for 52 we

jeyben [28]

To get how many customers Sam has, write an equation that will relate to the gross profit. Let n be the customers. Since for 52 weeks, Sam charges $25 per week per person, multiply n by the number of weeks and the charge. The equation is written as $88,400 = 52 weeks x $25 per week x n persons. Divide $88,400 by the product of 52 weeks and the $25 charge. The answer will be 68. The annual operating expense $48,000 is just there to make confusion.

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3 years ago

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