question archive Simplify Write your answer in the form a + bi, where a and b are real numbers

Simplify Write your answer in the form a + bi, where a and b are real numbers

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Simplify Write your answer in the form a + bi, where a and b are real numbers.

1) ( 7 + √-25) + ( 1 + √-64)

Simplify. Write your answers in the form of a+bi, where a and b are real numbers.

2) (3 + 4i)( 3 - 5i)

3)

Simplify.

4) (-i)26

Solve. Use a different method for each.

5) 3x2 = 15x

 

6) 5x2- 19x - 4 = 0

 

7) 3t2- 7t = 1

 

For the following quadratic equation:

A) find the vertex

B) find the axis of symmetry

C) determine whether there is a maximum or minimum value and find that value

D) find the range

E) find the intervals on which the function is increasing and find the intervals on which the function is decreasing

F) graph the function

8) f(x) = x2 - 5x - 5

 

9) The function h(t) = gives the height h, in feet, of a coin tossed upward from a balcony 410 ft high with an initial velocity of 16 ft/sec. During what interval of time will the coin be at a height of at least 90 ft?

 

10) A model rocket is launched with an initial velocity of 120ft/sec from a height of 80ft. The height of the rocket t seconds after it has been launched is given by the function s(t) = -16t2 + 120t + 80. Find how long it takes the rocket to reach the ground.

 

Solve.

11) 

 

12) 

 

13)

 

14) 

15) 

16)

 

=

5

x

0

=

-

+

x

7

4

11

7

8

3

+

-

-

i

i

-

+

+

16

t

2

16

t

410

=

x

-

20

x

=

+

+

x

6

-

2

x

4

pur-new-sol

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