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Over [174]
3 years ago
11

Plug in the point (1,6) into the inequality 4x-3y<12 to determine if the point is in the solution set. How do you know

Mathematics
2 answers:
jolli1 [7]3 years ago
7 0

Answer:

false

Step-by-step explanation:

4(1) - 3(6)<12

4 - 18<12

12<12

so no the truth value is false 12 is not less than 12

AlexFokin [52]3 years ago
7 0

Answer:

A. true

Step-by-step explanation:

If you plug in x and y, the equation is 4(1)-3(6)<12. SImplify to get 4-18<12 which is equal to -14<12 which is true.

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Answer:

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Step-by-step explanation:

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3 years ago
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Indicate a general rule for the <img src="https://tex.z-dn.net/?f=%20n%5E%7Bth%7D" id="TexFormula1" title=" n^{th}" alt=" n^{th}
xenn [34]
Answer: option D) An = 3an - 9a

Justification:

1) That is an arithmetic sequence which you prove by determining the difference between two consecutive terms (which shall be constant if it indeed is an arithmetic sequence):

2)

Second term - first term = -3a - (-6a) = -3a + 6a = 3a
Third term - second term = 0a - (-3a) = 3a
Fourth term - third term = 3a - 0a = 3a
Fith term - fourth term = 6a - 3a = 3a

Therefore, it is an arithmetic sequence with difference d = 3a.

3) the general rule for the nth term of an arithmetic sequence is given by the formula:

An = Ao + d (n - 1)

Where Ao = -6a and d, as determined above, is 3a

=> An = -6a + 3a (n - 1)

Expand the parenthesis (distributive property) =>

An = -6a + 3an - 3a = -9a + 3an = 3an - 9a = option D. <------- answer.
7 0
4 years ago
Translate the following equation into a verbal sentence: x + 3 = 2(6 + x)
SIZIF [17.4K]

Answer:

"x" plus three equals to two times six plus "x"

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3 years ago
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Erica's collection has 3 times as many action figures in it as Ricardo's collection. They have 68 action figures together. How m
lukranit [14]

Answer:

Erica has 51 action figures and Ricardo has 17 action figures.

Step-by-step explanation:

First, label your variables.

x=the number of action figures Erica has

y=the number of action figures Ricardo has

You know that they have 68 total action figures so x+y=68.

Erica has 3 times as many as Ricardo so 3y=x. Then solve for x and y.

x+y=68    3y=x   (Substitue 3y for x)

3y+y=68   (Then combine like terms)

4y=68  (Divide each side by 4)

y= 17

Now that you know that Ricardo has 17 action figures, you can plug 17 in for y in either equation to find x.

3(17)=x

x=51

To check your answers, you can plug them back into the original equations.

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3 years ago
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Dylan has a total of 25 marbles. He gives 5 marbles to his sister, Jane. What
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