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a_sh-v [17]
3 years ago
14

If y varies directly as x, and y = 6 when x = 5, find y when x = 15

Mathematics
2 answers:
r-ruslan [8.4K]3 years ago
7 0

Answer:

y=18 when x=15

Step-by-step explanation:

mixer [17]3 years ago
7 0

Answer:

x=15 (3×5) y=6 (3×6) =18

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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

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

<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

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

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

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There were 436 tickets purchased for a major league baseball game. The general admission tickets cost ​$6.50 and the upper reser
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Answer:

How many general admission tickets were​ purchased? __<u>136</u>__

How many upper reserved tickets we purchased? _<u>300</u>_

Step-by-step explanation:

Let the number of general tickets = g.

Let the number of reserved tickets = r.

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--------------------------------

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g = 136

g + r = 436

136 + r = 436

r = 300

Answer:

How many general admission tickets were​ purchased? __<u>136</u>__

How many upper reserved tickets we purchased? _<u>300</u>_

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Answer:

I'll answer if u make my Answer Brainliest!!! <33333333

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Step-by-step explanation:

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