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krek1111 [17]
3 years ago
10

2x + 2 < 2 or 3 - x greater than or equal to 0

Mathematics
1 answer:
Nikitich [7]3 years ago
7 0

2x+2 < 2\ or\ 3-x\geq0\\\\2x+2 < 2\ \ \ |-2\\2x < 0\ \ \ \ |:2\\x < 0\\\\3-x\geq0\ \ \ |+x\\3\geq x\to x\leq3\\\\x < 0\ or\ x\geq3\to x\in(-\infty,\ 0)\ \cup\ [3,\ \infty)

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The 2 above regular hexagons are similar. (see figures) The smaller hexagon was
gizmo_the_mogwai [7]

The smaller and the larger hexagons both have 6 sides

The length of each side of the larger hexagon

<h3>How to determine the length of each side of the larger hexagon</h3>

The given parameters are:

Smaller side, l =  10

Scale factor = 5 : 7

Represent the length of each side of the larger hexagon with L.

So, we have:

l : L = 5 : 7

Substitute 10 for l

10 : L = 5 : 7

Multiply the ratio by 2

10 : L = 5 *2 : 7  *2

Evaluate the product

10 : L = 10 : 14

By comparison, we have:

L = 14

Hence, the length of each side of the larger hexagon

Read more about scale factors at:

brainly.com/question/3457976

6 0
2 years ago
There are 1 × 1014 good bacteria in the human body. There are 2.6 × 1018 good bacteria among the spectators in a soccer stadium.
grandymaker [24]

Answer:

There are 2.6\times 10^{4} spectators in the soccer stadium.

Step-by-step explanation:

From this statement, we can calculate the number of spectators in a soccer stadium by dividing the amount of bacteria among the spectators in a soccer stadium by the amount of bacteria in the human body. That is:

x = \frac{2.6\times 10^{18}\,bacteria}{1\times 10^{14}\,bacteria}

x = \frac{2.6}{1}\times \frac{10^{18}}{10^{14}}

x = 2.6\times 10^{18-14}

x = 2.6\times 10^{4}

There are 2.6\times 10^{4} spectators in the soccer stadium.

5 0
3 years ago
Find the m&lt;1 <br> 69<br> 71<br> 111<br> 86
Alexxandr [17]

Answer:

69

Step-by-step explanation:

m1 = 180 - (180 - 39 - 30) = 180 - 111 = 69

3 0
3 years ago
Based on a table provided in your reading material determine the monthly payment for a $100,000 loan if the interest rate is 6%
kari74 [83]
Answer: The monthly payment on this loan would be $843.86.

Online you can find numerous loan calculators if you don't have access to the one in your reading material. All you need to do is enter the loan amount of $100,000 with a rate of 6% over the course of 15 years.

Entering these values will give a monthly payment of $843.86.
5 0
3 years ago
Use distributive property to rewrite the expression without parentheses <br><br><br> (y+6)9
HACTEHA [7]

Answer:

9y + 54

Step-by-step explanation:

Multiply 9 both terms inside the parentheses

y*9 + 6*9

9y + 54

7 0
4 years ago
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