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Gre4nikov [31]
2 years ago
13

n="absmiddle" class="latex-formula">
Mathematics
2 answers:
muminat2 years ago
8 0

Answer:

x=-2

Step-by-step explanation:

4(4x-4)+x+4=-46\\16x-16+x+4=-46\\17x-16+4=-46\\17x-12=-46\\17x=-34\\x=-2

Assoli18 [71]2 years ago
4 0

Step-by-step explanation:

Given that:

4(4x - 4) + x + 4 = - 46

Multiply the number outside of the bracket with numbers in the bracket on LHS.

⇛16x - 16 + x - 4 = -46

⇛16x + x - 16 - 4 = -46

⇛16x + x - 12 = -46

Shift constant from LHS to RHS, changing it's sign.

⇛16x + x = -46 + 12

Subtract and add the values on LHS and RHS.

⇛17x = -34

Shift the number 17 from LHS to RHS.

⇛x = -34/17

Simplify the fraction to get the value of x.

⇛-2

Therefore, x = -2

Please let me know if you have any other questions.

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3 years ago
IF
Montano1993 [528]

Answer:

commutative property

Step-by-step explanation:

commutative property

5 0
2 years ago
A new library has 2,300 books to put on the shelves. Each shelf holds 57 books. How many shelves will be completely full of book
Tcecarenko [31]

Answer:40

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
Hoping to attract more shoppers, a city builds a new public parking garage downtown. The city plans to pay for the structure thr
posledela

Answer:

MOE_{95} = 1.192\cdot MOE_{90}

Step-by-step explanation:

The margin of error is computed using the formula:

MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

The critical of <em>z</em> for 95% confidence level and 90% confidence level are:

z_{0.05/2}=z_{0.025}=1.96\\\\z_{0.10/2}=z_{0.05}=1.645

*Use a <em>z</em>-table.

The sample size is n = 44.

Compare the MOE for 95% confidence level and 90% confidence level as follows:

\frac{MOE_{95}}{MOE_{90}}=\frac{1.96\times (15/\sqrt{44})}{1.645\times (15/\sqrt{44})}

\frac{MOE_{95}}{MOE_{90}}=\frac{1.96}{1.645}\\\\\frac{MOE_{95}}{MOE_{90}}=1.192\\\\MOE_{95} = 1.192\cdot MOE_{90}

6 0
3 years ago
Two regular pentagons have areas of 20 mm² and x² - x mm². What values of x make the pentagons congruent?
Aleksandr-060686 [28]

<u>Answer</u>

5 and -4


<u>Explanation</u>

If the two triangle are congruent then they have the same area.

20 = x² - x

x² - x - 20 = 0

x² - x + (1/2)² = 20 + (1/2)²

(x - 1/2)² = 20.25

x - 1/2 = √20.25

x - 1/2 = 4.5                             or    x - 1/2 = - 4.5

x = 4 1/2 + 1/2                                      x = -4 1/2 + 1/2

   = 5                                                      = -4

The values of x are 5 and -4.



8 0
3 years ago
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