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Romashka [77]
3 years ago
8

The temperature at 9am was 13.6 deg. Celsius. The temperature at 9pm was 6.4 deg. Celsius. What was the average drop in temperat

ure from 9am to 9pm
Mathematics
2 answers:
Luden [163]3 years ago
8 0
The drop in temperature was 7.2 Celsius.
slavikrds [6]3 years ago
8 0

Temperature at 9 a.m. = 13.6 degree Celsius.

Temperature at 9 p.m. = 6.4 degree Celsius.

Change in temperature = Temperature at 9 a.m.-Temperature at 9 p.m.

Change in temperature = 13.6 - 6.4 = 7.2

So the drop in temperature is 7.2 degree Celsius.

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ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0
3 years ago
A company uses this formula to work out the cost, £A, of a taxi ride.
velikii [3]

Answer:

£b = £1.68

A = £44.68

Step-by-step explanation:

Given:

A = 5 + 1.9m + b

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A = total cost

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£b = charge for booking online

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A. Harry

A = £29.48

m = 12 miles

£b = ?

A = 5 + 1.9m + b

29.48 = 5 + 1.9(12) + b

29.48 = 5 + 22.8 + b

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29.48 - 27.8 = b

b = 1.68

£b = £1.68

b) If Sue books online and travels 20 miles, what will be

A = 5 + 1.9m + b

= 5 + 1.9(20) + 1.68

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= 44.68

A = £44.68

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