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3 years ago

2x-8y=-24 6x+4y=68 Using elimination method

1 answer:

4 0

6(2x-8y=-24)
-2 (6x+4y=68)
12x-48y=-144
-12x-8y=-136
-56y=-280

-280÷-56=5
y=5

2x-8 (5)=-24
2x-40=-24
+40. +40
2x=16
16÷2=8
×=8

y=5
x=8
hope this helps, if needed a picture for better understanding,please comment.

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Ethan, Chris and Jon have $90 altogether. Ethan has a half of that amount and Chris has one third of all the money. How much doe

stepladder [879]

The answer would be 15.

If Ethan has half of $90. You would have to divide $90 by 2, giving you $45.

And if Chris has a third of $90. You would have to divide $90 by 3, giving you $30.

Now, Chris. That leaves Chris with the rest of the money missing that adds up too $90. So if, $45 plus $30 equals $75. Subtract $75 from $90 which gives you $15 left.

Hope I helped!!

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3 years ago

How would I write this as a geometric recursive and explicit formula? Algebra 2

Kisachek [45]

Denote the sequence by $a_n$ with $n\ge1$ .

Recursively:

The first number is $a_1=8$ , and each successive number is twice the previous one. So $a_2=16$ , $a_3=32$ , $a_4=64$ , ... .

In other words,

$a_2=2a_1$
$a_3=2a_2$
$a_4=2a_3$

and so in general,

$a_n=2a_{n-1}$

Explicitly:

We can arrive at this formula by, in a way, working backwards. If $a_n=2a_{n-1}$ , that means $a_{n-1}=2a_{n-2}$ , and so $a_n=2(2a_{n-2})=2^2a_{n-2}$ , and so on. We would end up with

$a_n=2a_{n-1}=2^2a_{n-2}=2^3a_{n-3}=\cdots=2^{n-2}a_2=2^{n-1}a_1$

(You'll notice a pattern here: the exponent of the 2 and the index of the earlier term in the sequence add up to $n$ . For example, $2^1a_{n-1}\implies 1+(n-1)=n$ .)

or simply

$a_n=2^{n-1}\cdot8$

Then the 15th term is obtained immediately by evaluating this rule at $n=15$ . We get

$a_{15}=2^{15-1}\cdot8=2^{14}\cdot2^3=2^{17}=131,072$

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3 years ago

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Answer:

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Step-by-step explanation:

question 5:

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multiply both sides by 13 to get x by its self.

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then you do cos45= 13/y

multiply by y on both sides.

end up with y×cos45=13

divide the cos45 by both sides

put 13/cos45 to get y

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sin30=4/x

multiply x on both sides

end with x×sin30 =4

divide sin30 on both sides

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