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Pani-rosa [81]
3 years ago
12

4. Nine fruit juice bottles contain 4 1/2 litres of fruit juice between them.

Mathematics
1 answer:
brilliants [131]3 years ago
3 0

Answer:

2\frac{1}{2} litres or 2.5 litres

Step-by-step explanation:

From the question, 9 fruit juice bottles contain 4\frac{1}{2} litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4\frac{1}{2} litres and you divide the product by 9.

i.e. Let the quantity of the fruit juice for 5 bottles be x.

9 juice bottles ===> 4\frac{1}{2} litres

5 juice bottles ===> x

∴x = \frac{5 * 4\frac{1}{2} }{9} litres

x = \frac{5 * 4.5}{9} litres

x = \frac{22.5}{9} litres

x = 2.5 litres or 2\frac{1}{2} litres

Hope this helps!!!

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The function f(t) = t2 + 4t − 14 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Sh
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Answer:

A)  The vertex ( h , k) = ( -2 , -18)

B) The minimum value of the given function = - 18

C) The Axis of the symmetry for f(t) is y -axis

Step-by-step explanation:

A)

Given a parabola   f(t) = t² + 4 t − 14

                               f(t) =  t² + 2(2) t + (2)²-4− 14

                           f(t) = (t +2)² - 18

Let comparing  y = (x +2)² -18

                   (x +2)² = y + 18

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<em>The vertex ( h , k) = ( -2 , -18)</em>

B)

  Given a parabola   f(t) = t² + 4 t − 14

  Differentiating with respective to 't'

                                 f¹(t) = 2 t + 4

                                  f¹(t) = 2 t + 4 = 0

now                      t = \frac{-4}{2} = -2

Again Differentiating with respective to 't'

                    f^{ll} (t) = 2 (1) >0

f(x) has a minimum value at t = -2

Given f(t) = t² + 4 t − 14

         f( -2) = 4 + 4(-2) -14 = 4 -8 -14 = -18

The minimum value of the given function = - 18

C)

f(t) = (t +2)² - 18

Let comparing  y = (x +2)² -18

                   (x +2)² = y + 18

                   (x-h))² = 4 a ( y - k))²

The vertex ( h , k) = ( -2 , -18)

The Axis of the symmetry for f(t) is y -axis

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Step-by-step explanation:

From the picture attached,

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