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Greeley [361]
3 years ago
13

Round 34,689.37 to: a. the nearest tenths: b. the nearest thousands:

Mathematics
1 answer:
Irina18 [472]3 years ago
3 0

Answer:

A. 34,689.370

b.35,000.00

Step-by-step explanation:

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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
Cloud [144]

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

                   (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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Vlada [557]
I got the answer - 2/3

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Vera_Pavlovna [14]

Answer:

(a) Verified

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Step-by-step explanation:

Given

2x - y = -1

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We have:

2x - y = -1

Substitute: (x,y) = (2,5)

2 * 2 - 5 = -1

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4 - 5 = -1

Subtract:

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<em></em>

Also: y =5x - 5

Substitute: (x,y) = (2,5)

5 = 5 * 2 - 5

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5 = 10 - 5

Subtract:

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<em>Because both sides of the equation are equal, then the point is a solution</em>

<em></em>

<em></em>

Because the given point is a solution to both equations, then they are simultaneous equation

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Of the 650 students at west more junior high,4% will receive a perfect attendance award. How many students will receive a perfec
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Answer:

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Step-by-step explanation:

4% of 650 is 26

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