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Elanso [62]
4 years ago
10

The Walker family and the Goodman family are going to the cinema. The Walkers pay £22 for 2 adult tickets and 1 child ticket. Th

e Goodmans pay £26 for 1 adult ticket and 3 child tickets.
Mathematics
1 answer:
Amanda [17]4 years ago
8 0
The children's ticket is $6 and an adults ticket is $8.

Set up two equations, 2A+C=22 and A+3C=26.
Rearrange the second equation to A=26-3C. Now plug this in to the first equation so you get 2(26-3C)+C=22 and solve
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Select the value of each decimal number when it is rounded to the nearest whole number?
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3 years ago
The ordered pairs (6,8), (9, 12), (x, 20), (18, y) represent a proportional relationship. Find the value of X and the value of Y
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x=15 y=24

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7 0
3 years ago
Graph a parabola whose x-intercepts are at x=-3 and x=5 and whose minimum value is y=-4
docker41 [41]

Answer:

(See explanation for further details)

Step-by-step explanation:

The standard equation of the parabola is:

y + 4 = C \cdot (x-k)^{2}

The formula is now expanded into a the form of a second-order polynomial:

y + 4 = C\cdot x^{2} -2\cdot C\cdot k \cdot x +C\cdot k^{2}

y = C\cdot x^{2} - (2\cdot C \cdot k) \cdot x + (C\cdot k^{2}-4)

The general equation of the second-order polynomial is:

x = \frac{2\cdot C \cdot k \pm \sqrt{4\cdot C^{2}\cdot k^{2}-4\cdot C\cdot (C\cdot k^{2}-4)}}{2\cdot C}

x = k \pm \frac{\sqrt{C^{2}\cdot k^{2}-C^{2}\cdot k^{2}+4\cdot C}}{C}

x = k \pm 2\cdot \frac{\sqrt{C}}{C}

x = k \pm \frac{2}{\sqrt{C}}

The equations to be solved are presented herein:

-3 = k -\frac{2}{\sqrt{C}}

5 = k + \frac{2}{\sqrt{C}}

Now, the solution of the system is:

-3 +\frac{2}{\sqrt{C}} = 5 -\frac{2}{\sqrt{C}}

\frac{4}{\sqrt{C}} = 8

\sqrt{C} = \frac{1}{2}

C = \frac{1}{4}

k = 5 - \frac{2}{\sqrt{\frac{1}{4} }}

k = 1

The equation of the parabola is:

y = \frac{1}{4}\cdot (x-1)^{2} -4

Lastly, the graphic of the function is included as attachment.

3 0
3 years ago
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