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melomori [17]
3 years ago
14

The polynomial below is a perfect square trinomial of the form a2 - 2ab + b2

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0

This is a true statement. Here's how we know. The factors of that general formula are (ax - b)(ax - b). If that is in fact the general formula of the quadratic shown, then our a would be 2 and our b would be 3, since 2 times 2 is 4 which is the leading coefficient, and 3 times 3 is 9 which is the constant. Those factors, filled in accordingly, would be (2x - 3)(2x - 3). If we FOIL those out we should get back the quadratic in question. FOILing gives us

4x^2-6x-6x+9

which of course simplifies to

4x^2-12x+9

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Which of the following is equivalent to the radical expression below? 5^8*13
Bezzdna [24]

Answer:

(d) 5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}

Step-by-step explanation:

Given

5^{8.13}

Required

Select an equivalent expression

5^{8.13}

Simplify the power

5^{8.13} = 5^{8 + 0.1 + 0.03}

Apply law of indices:

5^{8.13} = 5^{8} * 5^{0.1} * 5^{0.03}

Express decimal as fractions

5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}

5 0
3 years ago
Lillian works 7hours each day for 5 days a week she earn £420 each week how much does she earn per hour
frosja888 [35]

Answer:

£12 per hour

Step-by-step explanation:

7 × 5 = 35 hours

35 h : 420

1 h : x

x = 420×1 / 35

= £12 per hour

8 0
4 years ago
Evaluate x (5-y) ; use x=6,and y=1​
Zolol [24]

Answer:

24

Step-by-step explanation:

x (5-y)

Let x=6,and y=1​

6(5-1)

PEMDAS says parentheses first

6(4)

24

6 0
3 years ago
5/6-1/8 Solve by finding a common denominator<br><br> A)30/48<br> B)34/48<br> C)38/48<br> D)42/48
GrogVix [38]

Answer:

  B)  34/48

Step-by-step explanation:

The easiest common denominator to find is the product of the denominators you have.

__

The difference is ...

  \dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}

__

<em>Additional comment</em>

The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.

  5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result

__

Using the <em>least common denominator</em> does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.

8 0
2 years ago
5 | 61251 is this true or false?
slamgirl [31]

Step-by-step explanation:

the answer is false because its counting by 5

3 0
3 years ago
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