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3 years ago

Confirm that (2x + 1)^2 + (2x^2 +2x)^2 = (2x^2 + 2x + 1)^2

Mathematics

1 answer:

Sergio [31]3 years ago

7 0

Answer:

Step-by-step explanation:

(2x+1)^2+(2x^2+2x)^2=

(2x+1)^2=4x^2+4x+1

(2x^2+2x)^2=4x^4+8x^3+4x^2

4x^2+4x+1+4x^4+8x^3+4x^2=4x^4+8x^3+8x^2+4x+1

(2x^2+2x+1)^2=4x^4+8x^3+8x^2+4x+1

4x^4+8x^3+8x^2+4x+1=4x^4+8x^3+8x^2+4x+1

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Bert already has $50 but needs a total of at least $250 for his holiday. He gets paid $20 per day for delivering papers. What is

aleksley [76]

Answer:

Bret would need to work for 8 days.

Step-by-step explanation:

He has $50 and needs to pay $250. 250-50= 200. £20 is $27.59 200/27.59 =7.24 If £20 is a typo then 10 days.

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3 years ago

Movies at the rental store are $3.75 each. Snacks and drinks are $1.89 each. Round each amount to the nearest dollar to estimate

Troyanec [42]

The estimate the total cost to rent 3 movies and buy popcorn, a soda, and a candy bar is $18. option C

<h3>Total cost</h3>

This is the summation of all units cost of items or the results of adding all cost(fixed and variable)

Cost of movies = $3.75

= $4.00 to the nearest dollar

Cost of snacks (drinks, popcorn, candy bars) = $1.89 each

= $2.00 to the nearest dollar

Cost to rent 3 movies and buy popcorn, a soda, and a candy bar.

Total cost = (Cost of movies × number of movies) + cost of popcorn + cost of soda + cost of candy bar

= (4 × 3) + 2 + 2 + 2

= 12 + 2 + 2 + 2

= $18

Therefore, the estimate the total cost to rent 3 movies and buy popcorn, a soda, and a candy bar is $18. option C

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2 years ago

Which multimedia sources are best for a student writing a research paper on childhood obesity? Check all that apply.

seropon [69]

Answer:

The answer is 1&2

Step-by-step explanation:

1.) and documentary is one of the best resource if you have nothing. but if all else fails talk to a doctor they will help you.

Hope this helps :) :) :) :)

7 0

3 years ago

Read 2 more answers

Given the parametric equations, x = 2t + 5 and y = 3t^2 - 1, find the point on the graph at time, t = 4.

Tpy6a [65]

Answer: (13, 47)

The expression t = 4 means that 4 units of time have come off the clock (possibly 4 seconds). Plug this value into each equation given for x and y

x = 2*t + 5 = 2*4 + 5 = 8 + 5 = 13

y = 3*t^2 - 1 = 3*4^2 - 1 = 3*16 - 1 = 48 - 1 = 47

In short, if t = 4 then it leads to x = 13 and y = 47 at the same time. These x and y values pair up to get the final answer (13,47)

8 0

3 years ago

Paul was asked to use the elmination to find the solution to the system of linear equations

lbvjy [14]

Option B is correct.

Step-by-step explanation:

Paul was asked to use the elmination to find the solution to the system of linear equations

$5x + 4y = 1\\-2x-8y = -26$

What are the missing steps in his work below?

$Let\\5x + 4y = 1\,\,eq(1)\\-2x-8y = -26\,\,eq(2)\\10x + 8y = 2 + (-2x-8y = -26) \\8x + 0y = -24 \\8x = -24 \\x = -3 \\Putting\,\,value\,\,of\,\,x\,\,in\,\,eq(1)\\5x + 4y = 1 \\5(-3) + 4y = 1\\-15 + 4y = 1 \\4y = 16\\y=4$

So, the step missing is multiplying equation 1 by 2 i.e

$2\times [5x + 4y = 1] \\10x + 8y = 2$

So, Option B is correct.

Keywords: System of equations

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7 0

3 years ago