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2 years ago

6

Graph all solutions on a number line and provide the corresponding interval notation. 1. 3x + 5>-4 2. 2x+1> -1 3.5-6y <

-1 4.7-9y> 43 5.6-a≤6

1 answer:

kykrilka [37]2 years ago

4 0

Graphs attached

Done!

Hopw it helps

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One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions

vodomira [7]

Answer:

2(x-3)+2x=54

Step-by-step explanation:

Take the side length of the rectangle as x

For the perimeter we must have - as we also have 2 lots of a side that is 3 inches shorter than x.

$2x + 2(x-3) = 54$

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3 years ago

Solve for linear inequality of x - 1 ≥ 4 + x

defon

$\huge\bf{ANSWER:}$

$\huge\mathrm{No\:solution.}\checkmark$

$\huge\bf{SOLUTION}:$

Hey there, hope you are having a wonderful day! :)

Let's solve this inequality.

First of all, let's move all the numbers to the right, using the $\bf{\underline{opposite\:\:operation\:}$ :

$\longmapsto$ $\sf{x-1\geq 4+x$

$\longmapsto\sf{x\geq 4+x+1$

$\longmapsto\sf{x\geq x+5$

Now, let's move the variables to the left:

$\longmapsto\sf{x-x\geq 5$

$\longmapsto\sf{0\geq 5$

Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.

Thus, there are no values of x that make the inequality true, and the inequality has

$\bold{No\:solutions.}$

Hope you find it helpful.

Feel free to ask if you have any doubts.

$\bf{-MistySparkles^**^*$

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2 years ago

A Gardner wants to add 39 pounds of nutrient a and 16 pounds of nutrient b to her garden. Each bag of brand x provides 3 pounds

ehidna [41]

Answer:

5 bags of brand x and 6 bags of brand y.

Step-by-step explanation:

Nutrient requirement for the garden:

39 pounds of nutrient a and

16 pounds of nutrient b

Component of each bag of brand x:

3 pounds of nutrient a and 2 pounds of nutrient b

Therefore, 5 bags of brand x will contain 15 pounds of nutrient a and 10 pounds of nutrient b

Component of each bag of brand y:

4 pounds of nutrient a and 1 pound of nutrient b

Therefore, 6 bags of brand y will contain 24 pounds of nutrient a and 6 pounds of nutrient b

Altogether, she should buy 5 bags of brand x and 6 bags of brand y to meet the nutrient requirement of the garden

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3 years ago

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algol13

Answer:

144 km

Step-by-step explanation:

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Explain how you would write 423,090,709,000 in word form

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In word form is: Four hundred twenty three billion, ninety million, seven hundred nine thousand.

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