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MatroZZZ [7]
4 years ago
6

A scout troop planned to take a bus for an overnight trip to a campground in a nearby state. The bus will cost $360 to rent. The

bus company told them that if they could get 3 more troop members to join in the trip each person could pay $6 less to go on the trip. If the troop was able to find the 3 additional people to join the trip, which answer is the most reasonable for the number of members that went on the trip?
Mathematics
1 answer:
joja [24]4 years ago
8 0
Let x represent the number originally signed up.
.. 360/x -6 = 360/(x +3)
.. 360*(x +3) -6x(x +3) = 360x . . . . . multiply by the product of denominators
.. 360x +1080 -6x^2 -18x = 360x
.. x^2 +3x -180 = 0
.. (x +15)(x -12) = 0
Solutions are x = {-15, 12}

12 members went on the trip.
_____
The problem wording does not make clear whether the original number (12) or the number suggested by the bus company (15) went on the trip. It would be most reasonable for 15 to go, if the troop had people who were willing.
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Each with 220 sides,meaning 440 edges on the end
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Which products result in a difference of square or perfect square trinomial? Plzzz help quick!!
vagabundo [1.1K]

Answer:

  • perfect square: 2, 5
  • difference of squares: 1, 6

Step-by-step explanation:

If the two factors are identical, their product will be a perfect square.

If one of the factors is the difference of terms that are summed in the other factor, the product will be the difference of squares.

  (a +b)(a -b) = a² -b² . . . . . matches the 1st and 6th choices

  (a +b)(a +b) = (a +b)² . . . . matches the 2nd and 5th choices

3 0
3 years ago
Calculate the perimeter of this shape.<br> 12 cm<br> 18 cm
Lisa [10]

Answer:

12 +18 + x+y + z +w

In this special case we know that x+y =12 and z+w =18  and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter  

Step-by-step explanation:

For this case we know that the perimeter is given by:

12 +18 + x+y + z +w

In this special case we know that x+y =12 and z+w =18  and for this case we can add all the values 12+18 +12+18=60 and that represent the perimeter  

6 0
3 years ago
Find the domain and range of the exponential function h(x) = –343x.
Amanda [17]

The function is supposed to be;

h(x) = -343^(x)

Answer:

The domain will be a set of real numbers while the range will be y ≤ 0 and on the interval (-∞, 1)

As x is increasing, h is decreasing and as x is decreasing, h is increasing

Step-by-step explanation:

We are given the function as;

h(x) = -343^(x)

The formula is;

y = a^(x) since it's symmetrical to the x-axis

However in this case;

y = -a^(x)

Now, the domain is y and the range is a set of values of x.

I've attached a graph of this function drawn on desmos.

From the graph we can see that The domain will be a set of real numbers while the range will be on the interval (-∞, 1)

For a value of x = 0,we have;

h(0) = -343^(0)

h(0) = -343

When we increase the value of x to 3,we have;

h(3) = -343^(3)

h(3) = -40353607

When we decrease the value of x to -3, we have;

h(-3) = -343^(-3)

h(-3) = 0.00000002478

Thus, we can conclude that;

As x is increasing, h is decreasing and as x is decreasing, h is increasing

4 0
3 years ago
Given: y = 3x - 4. what is the x-intercept? (0, -4) (0, 4/3) (4/3, 0)
ankoles [38]
X intercept is 4/3 because you plug zeros in for y to find the y intercept
4 0
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