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Biblioteka

Unit 4 Study Guide (Due 2/3/2026)

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Posljednje ažuriranje 5 months ago
40

Day 1 (1/30/26)

Obavezno
10
Obavezno
10
Obavezno
10

Day 2 (2/2/26)

Solve using the Quadratic Formula

Imaginary Numbers

Obavezno
10
Pitanje 1
1.

Match the each power of i to its correct expression.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

arrow_right_alt

arrow_right_alt

arrow_right_alt

arrow_right_alt

Pitanje 2
2.

Match the each power of i to its correct expression.

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

arrow_right_alt

or

arrow_right_alt

arrow_right_alt

-1

arrow_right_alt

1

Pitanje 3
3.

Simplify this radical. (Don't forget to split your answer into two parts.)

1st Solution

2nd Solution

Pitanje 4
4.

Simplify this radical. (Don't forget to split your answer into two parts.)

1st Solution

2nd Solution

Finding Products involving i

Obavezno
10
Pitanje 5
5.

Simplify each expression.

Obavezno
10
Pitanje 6
6.

Simplify each expression.

Adding and Subtracting Complex Numbers

Obavezno
10
Pitanje 7
7.

Simplify each expression. Final answers must be in a + bi form.

Obavezno
10
Pitanje 8
8.

Simplify each expression. Final answers must be in a + bi form.

Multiplying Complex Numbers

Obavezno
10
Pitanje 9
9.

Simplify each expression. Final answers must be in a + bi form.

Obavezno
10
Pitanje 10
10.

Simplify each expression. Final answers must be in a + bi form.

Obavezno
10
Pitanje 11
11.

Simplify each expression. Final answers must be in a + bi form.

Solve by Square Root Property

Obavezno
20
Pitanje 12
12.

Solve using the square roots method. Write the answer in simplest form.

Solution 1

Solution 2

Obavezno
10
Pitanje 13
13.

Solve each Quadratic Equation (Don't use the variable in your answer.)

1st solution

2nd solution

Obavezno
20
Pitanje 14
14.

Solve using the square roots method. Write the answer in simplest form.

Solution 1

Solution 2

Completing the Square

Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
20
Obavezno
20
Obavezno
20
Obavezno
20

Finding Discriminants

Obavezno
10
Pitanje 22a
22a.

Determine the discriminant of the following quadratic:

Obavezno
10
Pitanje 22b
22b.

Because the value of the discriminant was , that means the quadratic equation will have solutions.

Obavezno
0
Pitanje 24c
24c.

The best way to solve this quadratic equation is to , that means the quadratic equation will have solutions.

Obavezno
0
Pitanje 25c
25c.

The best way to solve this quadratic equation is to , that means the quadratic equation will have solutions.

Pitanje 24d
24d.

Solve this Quadratic Equation using the quadratic formula:

Remember that you already converted this into Standard Form

solution 1

x=

solution 2

x=

Pitanje 25d
25d.

Solve this Quadratic Equation using the quadratic formula:

Remember that you already converted this into Standard Form

solution 1

x=

solution 2

x=

Solve this Quadratic Equation using the quadratic formula:

Put this equation in Standard Form:

Find

a=

b=

c=

solution 1

x=

solution 2

x=

Pitanje 28
28.

Solve this Quadratic Equation using the quadratic formula:

a=

b=

c=

solution 1

x=

solution 2

x=

Pitanje 31
31.

Solve this Real World Quadratic Equation word problem. Pick any method to solve. Round your answer to the nearest tenth.

A ball is thrown into the air by a person. Its height above the ground, h (measured in feet), at any given time after the ball is thrown, t (measured in seconds), can be modelled using the quadratic function h(t) = -16t² + 16t + 5.

From what height is the ball thrown?

When did it hit the ground?

What is the ball's maximum height?

Pitanje 32
32.

Solve this Real World Quadratic Equation word problem. Pick any method to solve. Round your answer to the nearest tenth.

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equations h(t) = -16t²+ 128t (if air resistance is neglected).

How long will it take for the rocket to return to the ground?

What is the ball's maximum height?

How long will it take the rocket to hit its maximum height?