Which of the following expressions is equal to 2x^2 +8?
A. (2x - 4i)(x-2i)
B. (2x-4i)(x+2i)
C. (2x-2i)(x+6i)
D. (2x +4i)(x+2i)​

Which Of The Following Expressions Is Equal To 2x^2 +8? A. (2x - 4i)(x-2i) B. (2x-4i)(x+2i) C. (2x-2i)(x+6i)

Answers

Answer 1

Answer:

i think of

Step-by-step explanation:

c is your answer

Answer 2

Answer:

B

Step-by-step explanation:

Expanding the products using FOIL , noting that i² = - 1

A

(2x - 4i)(x - 2i)

= 2x² - 4ix - 4ix + 8i²

= 2x² - 8ix - 8 ≠ 2x² + 8

B

(2x - 4i)(x + 2i)

= 2x² + 4ix - 4ix - 8i²

= 2x² + 8 ← True

C

(2x - 2i)(x + 6i)

= 2x² + 12ix - 2ix - 12i²

= 2x² + 10ix + 12 ≠ 2x² + 8

D

(2x + 4i)(x + 2i)

= 2x² + 4ix + 4ix + 8i²

= 2x² + 8ix - 8 ≠ 2x² + 8

Thus

(2x - 4i)(x + 2i) = 2x² + 8 → B


Related Questions

1/6 - 3/8 as a fraction

Answers

Answer:

-5/24

Step-by-step explanation:

find common denominator

8/48 - 18/48 = -10/48

simplified the answer is -5/24

Answer:

-5/24

Step-by-step explanation:

Are you sure you want your answer to be negative? Because if you switch the order, it would be 5/24. Just in case! Good luck and have a great day!


f(x) = 2(x - 2)(x + 5) in standard form

Answers

Answer:

f (x) = 2x² + 6x - 20

Brainliest Please!!!

Answer:

5*10^-1

Step-by-step explanation:

4x-4+X+5

4x+X+5-4

5x-1

X=5*10^-1

I hope it useful I just woke up haha

Find m∠1. Then classify the triangle by its angles.

Answers

Answer:

52 degrees

right triangle

Step-by-step explanation:

Answer:

42°

Step-by-step explanation:

The given triangle is a right triangle since the sum of interior angles in a triangle is equal to 180° and two of the angles' measurements are known then the third angle must be 42°

The measurement of the “ridge” of your new house on blueprints is 24 inches. If the scale is 1/4 = 1ft how long is the wall in real life

Answers

Answer:

In real the wall will be: 96 ft

Step-by-step explanation:

Given that the scale is

1/4 = 1ft

It means 1 inch will represent 4 ft.

so

1 inch = 4ft

Given that the measurement of the “ridge” of your new house on blueprints is 24 inches.

Thus,

24 inches = 24 × 4ft           ∵ 1 inch = 4ft

                = 96 ft              

Therefore, in real the wall will be: 96 ft

The slope of a roof is called its pitch. The Parthenon,an Ancient Greek temple, has a roof with the rise of 4 m in a run of 12 m. What is the pitch of the roof?

Answers

Answer:

3m

Step-by-step explanation: divide 12m by 4m

Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?
A.
x= -9
B.
x= -6
C. y=-9
D. y=-4

Answers

Answer:

I’m guessing D

Step-by-step explanation:

As the perpendicular would be -4 the negative reciprocal. I just worked out the whole equation including the point it passes.

Answer:

-6

Step-by-step explanation:

In the diagram, lines JK and LM at N, M MNK = 2x + 30.
What is the value of x?

Answers

Answer:

the valu of x is 15 .....

Ellen writes 2 pages in a hour. Determine the equation that represents the function and state it graphically.

Answers

Answer:

1 page every 0.5hours, or 1 page every 30 minutes. The equation is

2x = y

Can anyone show me how to solve this problem? I know that its 5 weeks. (The problem is “Ahmed is saving his money to buy a Ipad that costs $319.50. Right now he has $21.95, and can save $63.00 each week. How many weeks will it take for Ahmed to have enough money to buy the Ipad)

Answers

Answer:

5 weeks

Step-by-step explanation:

Substract 319.5 (the amount he has to save) to the amount he has already saved, which is 21.95. Now the constant amount of change is 63 dollars each week so divided it by that. So the equation should be (319.5-21.95) and divide all that by 63 to get 4.72 or rounded to the nearest number, is 5.

You want to buy a shirt that costs $14. Identify an inequality that represents the amount of money, x (in dollars), you will have left if you buy the shirt

Answers

Complete question :

You can spend up to $35 on a shopping trip.

a. You want to buy a shirt that costs $14. Write and solve an inequality that represents the amount of money you will have left if you buy the shirt.

b. You notice that the shirt is on sale for %30 off. How does this change the inequality?

c. Do you have enough money to buy the shirt that is on sale and a pair of pants that cost $23? Explain.

Answer:

x ≤ 21

x ≤ 25.2

Yes

Step-by-step explanation:

Cost of shirt = $14

Total Amount to spend ≤ $35

After shirt purchase :

Let amount left = x

x + 14 ≤ 35

x ≤ 35 - 14

x ≤ $21

B.) discount on shirt sale = 30%

(100% - 30%) of $14 = 0.7 * $14 = $9.8

x ≤ 35 - 9.8

x ≤ 25.2

C.)

Cost of Jean = 23

25.2 > 23

Hence, there is enough money

Example 15
Prove that
sin 8 -cos 6 +1 - 1
sin 6+cos - 1 sec - tan
9
using the identity
0
sec?
= 1 + tan?
e.

Answers

cos

(

x

)

+

sin

(

x

)

tan

(

x

)

=

sec

(

x

)

The solution is, the simplified value of the expression is, 1.

To simplify the expression, we need the trigonometric identities given:

we know that,

1. cot=1/tan

2. tan=sin/cos

3. sec=1/cos

so, we have,

cot θ sec θ sin θ = 1/tanθ(1/cosθ)sinθ

                             = (1/(sinθ/cosθ))(1/cosθ)sinθ

                             = (cosθ / sinθ) (1/cosθ)sinθ

                             = 1

The expression is equal to 1.

To learn more about trigonometric relations click :

brainly.com/question/14450671

#SPJ7

A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a regular basis. Of the customers who get their hair cut, 24% also get their hair colored. What is the probability that a randomly selected customer gets their hair cut and colored?

Answers

Answer:

0.35

Step-by-step explanation:

The probability that a customer gets a hair cut and also gets a hair colored is 0.2088

What is probability?

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here: The probability of customers getting a haircut is 87% and the probability that the customers that have a haircut also get their hair colored are 24%

Thus the conditional probability that a customer who has a hair cut also gets his hair colored is

P( haircut/hair colored )= 87%×24%

                                      =0.87×0.24

                                      =0.2088

Hence, The probability that a customer gets a hair cut and also gets a hair colored is 0.2088

Learn more about probability here:

https://brainly.com/question/30034780

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Solve for the variable x.
4(x - 11) = -210

Answers

Answer: Divide both sides by the numeric factor on the left side, then solve.

Exact Form: x= −83/2

Answer: x = -41.5

Step-by-step explanation:

Distribute the 4 that is outside of the parentheses.

4 times x = 4x

4 times -11 = -44

Then to isolate the variable add 44 to both sides of the equation to cancel out -44.

-44 + 44 = 0

-210 + 44 = -166

Now your equation should 4x = -166

To find x, divide both sides of the equation by 4.

4x divded by 4 is x.

-166 divded by 4 is -41.5.

So the answer is x = -41.5.

To check the answer, plug in -41.5 to the x.

4(-41.5 - 11) = -210

The product of 3 and r

Answers

Answer and Step-by-step explanation:

The product of something is when two things multiply each other.

The product of 3 and r would then be 3r.

This is because we are multiplying 3 by r, which results in 3r.

#teamtrees #WAP (Water And Plant)

The product of 3 and r is 3r.

Product of 3 and r is to determine.

What is product?

Product of two values or more is the number of times one value to the other.

Here,
Product can be given as
= 3 x r
= 3r

Thus, The product of 3 and r is 3r.

Learn more about product here:
https://brainly.com/question/22852400

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Select Rational or irrational to classify each number

Answers

4/5 is rational. sqr(4)/5 is rational. pi is irrational and sqr(25)/4 is irrational

4(sin⁴ 60° + cos⁴ 60°) = 1 + 3(sin²60° - Cos² 60°)​

Answers

Step-by-step explanation:

4(sin⁴ 60° + cos⁴ 60°) = 1 + 3(sin²60° - Cos² 60°)​

sin 60°=[tex]\frac{\sqrt{3} }{2}[/tex]

Cos 60°= [tex]\frac{1}{2}[/tex]

​[tex]4(( \frac{\sqrt{3} }{2}) ^{4} +(\frac{1}{2}) ^{4} )=1+3(( \frac{\sqrt{3} }{2}) ^{2} +(\frac{1}{2}) ^{2} )[/tex]

then do it by the calculator and they will be equal 2.5

I hope it will help

PLSSSS HELP ASAP!! GIVING BRAINLIEST!! Pls Explain :)
At the store, meat was $73.70 for 5 pounds. If you bought 15 pounds, how much would it cost?

Answers

Answer: 221.10

Step-by-step explanation:

Marsha is changing her phone
service. One data package charges
an initial fee of $50 and $13.25 per
month. The other has no initial fee
but charges $25.75 per month for
the same data package. After how
many months would Marsha have
paid the same amount for either
data package?
Someone help me plz quickly

Answers

month 4: 13.25*4=53. 53+50 = 103

month 4: 25.75*4 = 103

They both cost $103 on month 4

there are Thirty coins and they are all dimes and nickels, and they are worth $2.60. How many nickles and dimes are there

Answers

Answer:

22 dimes, 8 Nickels

Step-by-step explanation:

evaluate the expression when x = 3/4. 1 /5 x answer in simplest form

Answers

Answer:

i dont know what you are asking, make your question more readable and clear

Step-by-step explanation:

i’ll mark brainlest

Answers

the next number would be 3,125 and each time you multiply by 5 so the next number after 3,125 would be 15,625

(2a+9b-7).(-8)=help​

Answers

Answer:

(-16a)-72b+56

Step-by-step explanation:

Multiply 8 to each number

Hope this helped :)

Answer:

-16a - 72b + 56

hope that's it

Express z 1 = 17 [ cos ⁡ ( π ) + i sin ⁡ ( π ) ] z 1 ​ =17[cos(π)+isin(π)]z, start subscript, 1, end subscript, equals, 17, open bracket, cosine, left parenthesis, pi, right parenthesis, plus, i, sine, left parenthesis, pi, right parenthesis, close bracket in rectangular form. Express your answer in exact terms.

Answers

Answer:

z1 = -17 + 0i

Step-by-step explanation:

Given the complex number z1 ​ =17[cos(π)+isin(π)], we are to express it in rectangular form as shown;

Since cos(π) = -1 and sin(π) = 0, the equation becomes;

z1 ​ =17[cos(π)+isin(π)]

z1 ​ =17[(-1)+i(0)]

z1 = 17(-1 + 0i)

z1 = -17 + 0i

Hence the complex number in rectangular form is expressed as z1 = -17 + 0i

Calculate the largest possible are of a square whose side length is 1 cm to 1 significant figure.

Answers

Answer:

the answer is

1

Step-by-step explanation:

1*1=1

hope it helped

7 Alan is self-employed. He earned $22,500 one year and was taxed at
the FICA rate of 15.02%. What was the total amount he had to pay in
FICA taxes?
a. $3,379.50
b. $1,689.75
c. $1,652.20
d. $3,304.40
8 Art is self-employed. He earned $28,500 one year and was taxed at
the FICA rate of 15.02%. What was the total amount he had to pay in
FICA taxes?
a. $2,140.35
b. $4,205.60
c. $2,102.80
d. $4,280.70
9 Edith earns an annual gross salary of $17,500. She has 28% of her
gross salary withheld for taxes and other deductions. What is the net
pay of each paycheck if she is paid weekly?
a. $274.04
b. $43.87
c. $242.31
d. $438.76
10 Nancy earns an annual gross salary of $16,250. She has 26% of her
gross salary withheld for taxes and other deductions. What is the net
pay of each paycheck if she is paid semimonthly?
a. $62.50
b. $541
c. $462.50
d. $501.04
13 Olga deposited $1,500 in a savings account that pays 7.5% interest,
compounded quarterly. What is the balance in her account at the
beginning of the fourth quarter?
a. $1,590
b. $1,560
c. $1,585.97
d. $1,591.81

Answers

Answer:

7. A

8. D

9. C

10. D

13. D

Step-by-step explanation:

Hope that helps :)

PLEASE HELP ME!!!!!:)​

Answers

Answer:

A=2.5

B=2

Step-by-step explanation:

A parallelogram has to have the opposite sides equal each other. In this case side LM and side ON have to be equal.

We can compare the two sides using algebra.

4b+7=8b-1

Using simple methods, we can isolate b on a single side.

1+7=8b-4b

8=4b

b=2

From this we learn b is 2. To find out the value of A on side MN and LO, we will plug in the value for b at all instances of B in this equation.

2a = 2b+1

2a = 2(2)+1

2a=4+1

2a=5

a=2.5

Nalini thinks of an number. She doubles it and adds 5. Her answer is sixteen more than the number she thought. What number did Nalini think of? a) 10 b) 11 c)12 d) 6

Answers

2x + 5 = x + 16
x = 11
She thought of 11

Answer:

B. 11

Step-by-step explanation:

We can try it for each

10*2+5=25

25-10=15❌

11*2+5=27

27-11=16 ✔

12*2+5=29

29-12=17❌

6*2+5=17

16-6=11❌

So it's B

helpmepleasethankyou:)

Answers

Answer:

Step-by-step explanation:

If we take 1 cup of Original purple paint,

Ratio of blue and red paint = 2 : 3

Quantity of blue paint in 1 cup of the mixture = [tex]\frac{2\times (1)}{(2+3)}[/tex] = 0.4 cups

Similarly, ratio of blue and red paint in the New purple paint = 5 : 7

If we take 1 cup of New purple paint,

Amount of blue paint in 1 cup = [tex]\frac{5\times 1}{(5+7)}[/tex] = 0.42 cups

Therefore, shade of both the mixtures will not be same.

Since, blue color is more in quantity in New purple paint, it will be more blue than Original purple paint.

write the equation

i’ll give a BRAINIST & 20 POINTS:)

Answers

Answer:

y=5/2x-16

Step-by-step explanation:

First, we want to find the slope of the original line.

m= -4+8/-1-9

m= 4/-10

m= -2/5

Because we want the perpendicular bisector, we will need the slope to be the opposite reciprocal. Therefore, our slope is

m=5/2

Now, we want to find the midpoint of the line.

9-1/2

8/2=4

-8-4/2

-12/2= -6

So, the midpoint is (4,-6)

Using the information we have, we now can find b.

-6=5/2(4)+b

-6=10+b

-16=b

That gives us our equation

y=5/2x-16

Klara picks a number. She rounds to the nearest hundred. She rounds tot the nearest thousand. She rounds the number to the nearest ten thousand. All three times, the result is the same. Which choice could be klara's number?

Answers

Answer with step-by-step explanation:

The question does not seem complete, but I'll try to make some explanations.

When you want to round a number, there are some rules.

1. If the number you are rounding is followed by 5, 6, 7, 8, 9, then round the number up, that is add 1 to it.

2. If the number you are rounding is followed by 0, 1, 2, 3, 4, then round the number down, that is add 0.

Now if given a number and you are asked to round to the nearest 100, 1 000, 10 000 and so on, then for nearest 100, count 2 numbers from the back. Whatever number you stop at, that is the number you are to round. For 1000 count 3, for 10 000 count 4 and so on.

Since Kiara is having the same value after rounding, it means she picked a number that has zeros after the 10 000th value

Let's assume she picked: 70 000

Rounding that number to nearest 100, 1000 and 10000 gives the same number which is

70 000.

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