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Paul [167]
2 years ago
10

The sales tax in New York is 8.25%. About how much will a $65.95 pair of shoes cost, including sales tax?

Mathematics
1 answer:
mezya [45]2 years ago
6 0
Answer=$71.39

8.25%=0.0825

100%+8.25%=1.0825

$65.95*1.0825=$71.39
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Find the product of (4x − 3)(2x2 − 7x 1). 8x3 − 22x2 17x− 3 8x3 8x2 4x − 3 8x3 − 34x2 25x − 3 8x3 − 42x2 25x − 3.
Andrej [43]

Product of two polynomials can be done by distribution of multiplication over addition. The product of  (4x -3)(2x^2 -7x + 1) is 8x^3 - 34x^2 + 25x - 3

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a\times b + a\times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is obtained as:

(4x -3)(2x^2 -7x + 1) = 4x(2x^2 - 7x + 1) -3(2x^2 - 7x + 1)\\(4x -3)(2x^2 -7x + 1) = 8x^{1 + 2} - 28x^2 + 4x - 6x^2 + 21x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 + (-28-6)x^2 + (4 + 21)x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 - 34x^2 + 25x - 3

Thus,

The product of  (4x -3)(2x^2 -7x + 1) is 8x^3 - 34x^2 + 25x - 3

Learn more about polynomial product here;

brainly.com/question/9106484

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2 years ago
State if each triangle is acute, obtuse,or right using Pythagorean theorem converse.
shtirl [24]

Answer:

Right triangle

Step-by-step explanation:

Properties for acute, obtuse or right triangle,

1). Given triangle will be a right triangle if,

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2). Triangle will be an acute triangle if,

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3). Triangle will be an obtuse triangle if,

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Now we apply these properties in the given triangle,

(Largest side)² = (√11105)²

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(leg 2)² = (73)²        

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Since 11105 = 5776 + 5329 (First Property)  

11105 = 11105

Therefore, given triangle is a right triangle.

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olya-2409 [2.1K]

Answer:

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Step-by-step explanation:

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<em />

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<em>To figure out the percentage decrease, you would first subtract the two numbers. </em>

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