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aksik [14]
3 years ago
7

Prove the polynomial identity.

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
7 0

Explanation:

Since we have given that

(2x+1)^2-2(2x+1)

Now, we have to prove it as

(2x+1)(2x-1)

Now, start the iterations:

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

So, first blank will be filled with

4x^2+4x+1

Second blank will be filled with

4x^2-1

Hence proved.

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ipn [44]
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The triangle has a base of 4 and a height of 3.
The formula is A = 1/2 * b*h
You have 2 triangles so:
2(1/2)*4*3= 12 sq cm
Add together:
28 + 12= 40 sq cm
6 0
3 years ago
Your favorite craft store had a weekend sale. On the first day, all $10 items were 70% off. You bought some number of these of t
Svet_ta [14]
For the first day we have the following function:
 f (n) = (0.3 * 10) n + 8
 For the second day we have the following function:
 f (n) = (0.4 * 10) n + 5
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 (0.3 * 10) n + 8 = (0.4 * 10) n + 5
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 We evaluate each function for n = 3
 f (3) = (0.3 * 10) * 3 + 8 = 17 $
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8 0
3 years ago
3x+1 = y 2x+3y = 14<br> please explain the steps if you can as well
Likurg_2 [28]
3x + 1 = y
2x + 3y = 14

To solve this system of equations, we are going to use the substitution method.  Substitution the equation where the variable is isolated into the second equation.  In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.

2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1.  Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14

3 + 1 = y
2 + 3y = 14

4 = y
3y = 2

4 = y
4 = y

The solution to this system of equations is (1, 4).

8 0
3 years ago
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Answer:

B

Step-by-step explanation:

5^2 - 3^2 = 4^2 So you know that 4 is the height. 4^2 + 7^2 is 65. Find the square root. Square root of 65.

4 0
3 years ago
PLEASE HELP! WILL MARK BRAINLIEST ANSWER!
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