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Pepsi [2]
3 years ago
8

A clothes shop has some special offers.

Mathematics
1 answer:
grin007 [14]3 years ago
8 0

Answer:

£57.60

Step-by-step explanation:

The price of a T-shirt = £5.20

The price of a jumper = £10.50

To get 6 T-shirts, since there is an offer of buy one get one free; then the number of T-shirt to be paid for would be:

\frac{n}{2} = \frac{6}{2} = 3

The price of 3 T-shirts = £5.20 x 3

                                    = £15.60

To get 6 jumpers, since there is an offer of buy 3 get 2 free; then the number of jumper to be paid for is 4.

The price of 4 jumpers = £10.50 x 4

                                      = £42.00

Total cost of 6 jumpers and 6 T-shirts = £15.60 + £42.00

                                           = £57.60

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The middle term is,  +8x  its coefficient is  8 .

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Equation at the end of step

1

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 x2 + 8x + 17  = 0

STEP

2

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2.1      Find the Vertex of   y = x2+8x+17

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is  -4.0000  

Plugging into the parabola formula  -4.0000  for  x  we can calculate the  y -coordinate :

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Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2+8x+17

Axis of Symmetry (dashed)  {x}={-4.00}

Vertex at  {x,y} = {-4.00, 1.00}  

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We'll refer to this Equation as  Eq. #2.2.1  

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Note that the square root of

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 x = -4 + √ 1 •  i

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