(30 points!) Powers of i worksheet

Answer:

6x⁴ + 6x³ + 2x² + 4

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(6x³ - x⁴ + 7) + (7x⁴ - 3 + 2x²)

Step 2: Simplify

Answer:

32

Step-by-step explanation:

Factorize:

64= 2x2x2x2x2x2

160= 2x2x2x2x2x5

224=2x2x2x2x2x7

If you notice, the pairs have 5 2s. So the gcf is 2^5 or 32.

Hope this helps plz hit the crown :D

The greatest common factor of 64,160, and 224 will be 32.

The greatest common factor is the largest positive number which can be divided into given numbers evenly. The greatest common factor is the highest number which divides all the given numbers completely.

Given numbers 64, 160 and 224. The greatest common factor is calculated by factorizing the given numbers.

Factorize number 64.

64 = 2x2x2x2x2x2

Factorize the number 160.

160 = 2x2x2x2x2x5

Factorize the number 224.

224 = 2x2x2x2x2x7

The common number between all three numbers is 2² or 32. Therefore, the greatest common factor of 64,160, and 224 will be 32.

To know more about the greatest common factor follow

https://brainly.com/question/219464

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Answer:

2/7 + 2/5=24/35

Answer:

y = -7x + 30

Step-by-step explanation:

Answer:

The width of the rectangle is 20 inches.

Step-by-step explanation:

Since the ratio of length to width is 6:5, the width will be 5/6 of the length. To find 5/6 of 24, multiply 24/1 by 5/6 and simplify. (24/1 is the fraction form of 24 and makes solving the problem a little easier.)

— 24/1 * 5/6 = 120/6

— 120/6 = 20

The width of the rectangle is 20 inches.

Answer:

depth = 6th + 2(number of years)

Answer:

16x^2+24xy+9y^2

Step-by-step explanation:

16x^2+24xy+9y^2

Answer:

Slope = 4.000/2.000 = 2.000

Slope = 2.000/2.000 = 1.000

Step-by-step explanation:

the first answer is for the first problem and the second answer is for the second problem. Hoped it helped i tried my best.

Answer:

y = 10x

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 10

y-intercept b = 0

Step 2: Write function

Plug in variables into the general form.

y = 10x + 0

y = 10x

Answer:

y = 10x

Step-by-step explanation:

Equation of a line: y = mx + b

y = 10x + 0 is also y = 10x

Answer:

75 shots and 15.1%

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

-28=-5x+7

Add 28 and 5x to both sides

5x = 35

Divide both sides by 5

x = 7

Answer: x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

−28=−5x+7

Step 1: Flip the equation.

−5x+7=−28

Step 2: Subtract 7 from both sides.

−5x+7−7=−28−7

−5x=−35

Step 3: Divide both sides by -5

-5x/-5 = -35/-5

x=7

Answer

well i know that the accual answer would be 466.6.

Step-by-step explanation:

Answer:

f(-2) = 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

f(x) = 8x² + 5x - 2

x = -2

Step 2: Evaluate

Answer:

60

Step-by-step explanation:

15x3=45

5x3=15

15+45=60

Answer:

Inital height is 20

Step-by-step explanation:

h= (-5x-5)(x-4)

h= -5x^2+15x+20

Answer: 9/4

Step-by-step explanation:

12/(12+15) = 12/27 = 9/4

Answer:

The pants from the local store would be $72.00

the pants from the online store would be $85.00

the difference in price is $13.00

therefore the pants from the local store would be cheaper

Step-by-step explanation:

IM NOT SURE IF THIS ANSWERS YOUR QUESTION PLEASE CLARIFY!!!!

Answer:

A. 7

Step-by-step explanation:

h(x)=2x + 4

2(7)=14

14+4=18

Answer:Because both result in the equation 8x = 400 which simplifies to 50.

 Step-by-step explanation:

Answer:

50

Step-by-step explanation:

no need

Answer:

YES

Step-by-step explanation:

When a transversal cuts two parallel lines, the alternate interior angles are congruent. So, for two lines to be parallel, their alternate interior angles has to be equal.

Angle 2 and angle 8 are alternate interior angles. They both measure 115°. Since these alternate interior angles are congruent, therefore, line m is parallel to line p.

Answer:

See attached graph, and answers.

Step-by-step explanation:

The inequalities are given as;

i) y>3x+10

ii) y<-3/4x -1

Graphing the inequalities gives the following result

The solution area is that which is shaded and the lines are broken lines not complete

From the graph the solution is:  { -2.9,1.2}

The point {8,10} is not a solution to the system. This is because it is not in the shaded area that represent the solution to the inequalities.

Answer:

$40

Step-by-step explanation:

The use of the word "mental math" means round to the nearest whole. By doing this you turn $12.98 into $13 and $1.02 into $1 which will give you $40 in total. This problem doesn't need to round as it is a simple problem. The true answer is $12.98 + $17.50 + $8.50 +$1.02= $40.

Total = purchase price x ( 1 + sales tax )

Total = 28.50 x 1.065

Total = $30.35

Answer:

75 feet

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Proportion

6 feet man/10 feet shadow = x (tree) / 45 feet (shadow)

6/10 = x /45            Cross multiply

10x = 45*6

10x = 270

x = 270/10

x = 27

The tree is 27 feet long

Answer:

The correct option is;

Angle Addition Postulate;

Step-by-step explanation:

The given two column proof can be presented as follows;

Statement                      [tex]{}[/tex]                          Reason

1. ∠PQR is a right angle      [tex]{}[/tex]                     Given

2. m∠PQR = 90°       [tex]{}[/tex]                                Definition of Right Angle

3. m∠PQS + m∠SQR = m∠PQR      [tex]{}[/tex]         Angle Addition Postulate

4. m∠PQS + m∠SQR = 90°      [tex]{}[/tex]                 Substitution property of equality

5. ∠PQS and ∠SQR are complementary Definition of complementary angles

Given that the angle m∠PQR has angles m∠PQS and m∠SQR arranged adjacent to each other while sharing the same boundary segment, QS we have by the angle addition postulate;

m∠PQR is the sum of the angles m∠PQS and m∠SQR, therefore;

m∠PQR = m∠PQS + m∠SQR = 90°.