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Damm [24]
3 years ago
6

Which strategy would you choose to expand (x+11)(2x+3) and write an equivalent expression

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

Answer:

Step-by-step explanation:

Given the expression (x+11)(2x+3)

We want to expand it and write equivalent expression

Generally if we want to expand an expression we will take one of the expression in one bracket and multiply with the other bracket and then take the other expression and multiply it with the other

E.g, (a+b) × (c + d)

Then, we take a × (c+d) and also b × (c+d)

We can do it the other way round too and it will give the same results.

So, applying this to the given expression

(x+11)(2x+3)

x(2x+3) + 11(2x+3)

2x² + 3x + 22x + 33

2x² + 25x + 33

Then, the equivalent expression is 2x² + 25x + 33

(x + 11)(2x + 3) = 2x² + 25x + 33

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To find <ABC, the first thing you would need to do is to find angle DBA and the value of x

As <DBE is a right angle, <DBE is on the same straight line as well,meaning that it would be 90° , a right angle as well.

It also mean that the total sum of the angles unknown would be 90°

To find x,we need to set up an equation:
(2x+14)+ (x+7) = 90
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Thus,<ABC would be
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Hope it helps!
7 0
2 years ago
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How many tissues should the kimberly clark corporation package of kleenex contain? researchers determined that 60 tissues is the
Agata [3.3K]

Answer:

Step-by-step explanation:

For the null hypothesis,

µ = 60

For the alternative hypothesis,

h1: µ < 60

This is a left tailed test

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 100,

Degrees of freedom, df = n - 1 = 100 - 1 = 99

t = (x - µ)/(s/√n)

Where

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µ = population mean = 60

s = samples standard deviation = 22

t = (52 - 60)/(22/√100) = - 3.64

We would determine the p value using the t test calculator. It becomes

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How do I write 3x3x3x3 in Standard Form
wlad13 [49]

Answer:

3 to the fourth power, which equals 81.

Step-by-step explanation:

3 0
2 years ago
The sum of three consecutive integers is 90. Find the three numbers by letting x
Law Incorporation [45]

Answer:

x = 28

Step-by-step explanation:

let us take three consecutive numbers be (x + 1), (x + 2) and (x + 3)

Now,

The sum of three consecutive integers is 90

i.e.,

(x + 1) + (x + 2) + (x + 3) = 90

x + 1 + x + 2 x + 3 = 90

3x + 6 = 90

3x = 90 - 6

3x = 84

x = 84/3

x = 28

x = 28Thus, The value of x is 28

<h2><em><u>VERIFICATION</u></em><em><u>:</u></em></h2>

(x + 1) + (x + 2) + (x + 3) = 90

(28 + 1) + (28 + 2) + (28 + 3) = 90

28 + 1 + 28 + 2 + 28 + 3 = 90

90 = 90

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What does a regulatory buoy with a diamond symbol indicate?
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A regulatory buoy with a diamond symbol indicates danger from rock, shoal, wreck etc. Hope this helps!
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