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3 years ago

I WILL GIVE BRAINLIST AND 5 STARS Show that (2x + i)(2x – i) = 4x² + 1

Mathematics

1 answer:

sladkih [1.3K]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

(2x + i)(2x – i)

FOIL

first 2x*2x =4x^2

outer -i * 2x = 2x i

inner i * 2x = 2x i

last i * -i = -i^2 and i^2 = -1 so - (i^2 ) = - (-1) = 1

Add together

4x^2 + 2xi -2x i +1

Combine like terms

4x^2 +1

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Score Frequency

RUDIKE [14]

Scores on an AP Exam at a local high school are recorded in the table. What was the average score?

Answer: D) 4.266 is correct

Explanation:

We are given the below frequency table:

Score Frequency

1 | 0

2 | 3

3 | 4

4 | 16

5 | 22

Let's denote the score by $x$ and frequency by $f$ .

The average formula is:

$Average=\frac{\sum fx}{\sum f}$

$=\frac{(1\times0) + (2\times3)+(3\times4) +(4\times16) + (5\times22)}{0+3+4+16+22}$

$=\frac{0+6+12+64+110}{45}$

$=\frac{192}{45}=4.267$

Therefore, the average score was 4.267

Hence the option D) 4.266

7 0

3 years ago

What is the square root of 378904

zvonat [6]

Simplify the following:

sqrt(378904)

sqrt(378904) = sqrt(8×47363) = sqrt(2^3×47363):

sqrt(2^3 47363)

sqrt(2^3 47363) = sqrt(2^3) sqrt(47363) = 2 sqrt(2) sqrt(47363):

2 sqrt(2) sqrt(47363)

sqrt(2) sqrt(47363) = sqrt(2×47363):

2 sqrt(2×47363)

2×47363 = 94726:

Answer: 2 sqrt(94726)

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2 years ago

Which angle has a measure closet to 30 degrees?

gladu [14]

Answer:

Step-by-step explanation:

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3 years ago

Can someone plz help me my teacher keeps ignoring me

nalin [4]

Answer:

If your teacher keeps ignoring you. You can alwas ask a tutor on brainly if nobody answers your questions

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3 years ago

Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven-d

garik1379 [7]

Answer:

three

Step-by-step explanation:

60 - 39 = 21

21/7 = 3

4 0

2 years ago

Read 2 more answers