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krek1111 [17]
3 years ago
15

Given the system of inequalities below: -3x - y < 12 and 2x + 3y ≥ 9

Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0
Y>3x+12
y(less than or equal to)-2/3x+9
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What is the greatest common factor 12,28, and 4
Alexus [3.1K]

<em><u>The GCF ( Greatest Common Factor ) of 12, 28, and 4 is 4</u></em>

5 0
3 years ago
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-1 + 6(-1 - 3x) &gt; -39 - 2x.<br> -<br> A.X&lt;2<br> B. x &lt; 3<br> C. x &lt;-3<br> D. x &lt; -10
Mnenie [13.5K]

Answer:

x < 2

Step-by-step explanation:

→ Expand out brackets

-1 - 6 - 18x > -39 - 2x

→ Simplify

- 7 -18x > -39 - 2x

→ Add -7 to both sides

-18x > -32 - 2x

→ Add -2x to both sides

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x < 2

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3 years ago
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bazaltina [42]

Answer:

-1 5/6

Step-by-step explanation:

-2/3 + (-1 1/6)

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Start at -2/3. Since we are dealing with 1/6's, convert -2/3 to 6ths.

-2/3 * 2/2 = -4/6

-2/3 is the same as -4/6, so start at -4/6. Locate 0 on the number line, and move 4 marks to the left. That is -4/6 which is the same as -2/3 and is your starting point.

Now you need to add -1 1/6. Adding a negative number is the same as subtracting a positive number. Adding -1 1/6 is the same as subtracting 1 1/6. That means you need to go left 1 1/6. Since each unit is divided into 6 equal parts, 1 1/6 is 7 marks on the number line. Starting at -4/6, count 7 marks to the left. Where you end up is the answer which is -1 5/6.

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3 0
3 years ago
Use the laws of logarithms and the values given below to evaluate the logarithmic expression (picture provided)
nydimaria [60]

Answer: Option a.

Step-by-step explanation:

To solve the given exercise, you must keep on mind the law of logarithms shown below:

 log(a)-log(b)=log(\frac{a}{b})

Therefore, by applying the law , you can rewrite the expression given, as following:

log(\frac{5}{7})=log(5)-log(7)

You know that:

log5=0.6990\\log7=0.8451

Then, when you substitute values, you obtain:

0.6990-0.8451=-0.1461

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4 years ago
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Can u guys explain how to get the answer plzzz I need help with 32
givi [52]
To determine which answer is correct, apply the given ratio. 1/20:? Just by looking at it we know C is wrong. 4:100 is simplified to 1:25. B is also wrong, as 180:9 is 20:1, which is backwards from 1:20. However, A is correct because 9:180 is 1:20. D is also wrong for the same reasons B and C are wrong. Your answer is A!
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