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swat32
3 years ago
15

Solve the following equation and then check your solution. Show all of your work.

Mathematics
2 answers:
Anika [276]3 years ago
5 0

Answer:

x=17

Step-by-step explanation:

First, Isolate the variable x by transposing it.

24-3x=-27

-3x=-27-24

Add the equation.

-3x=-51

Simplify x by multiplying both sides by 1/-3.

-3x/-3= -51/3

x=17

Wittaler [7]3 years ago
3 0

Answer:

X =17

Step-by-step explanation:

24-3x = -27

collect like terms

-3x = -27 -24( crossing the = sign turns 24 negative)

-3x = -51

divide both sides by the coefficient of x

-3x/-3 = -51/-3( negative signs cancels each other out)

x = 17

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Solve this system of equations
olga_2 [115]

Answer:

D) x = 4, y = -2, z = 3

Step-by-step explanation:

x = 3z − 5

2x + 2z = y + 16

2(3z - 5) + 2z = y + 16

6z - 10 + 2z = y + 16

8z = y + 26 ---> (A)

7x − 5z = 3y + 19

7(3z - 5) - 5z = 3y + 19

21z - 35 - 5z = 3y + 19

16z = 3y + 54 ---> (B)

8z = y + 26

16z = 3y + 54

2(y + 26) = 3y + 54

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y = -2

8z = -2 + 26

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8 0
3 years ago
Write a recursive rule for the sequence.
Vadim26 [7]

Answer:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

Step-by-step explanation:

This is the fibonacci sequence with each term times x.

Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.

That is:

1x+1x=2x

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3x+5x=8x

So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.

f(1)=1x since first term of f is 1x

f(2)=1x since second term of f is 1x

Yes, I'm naming the sequence f.

So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...

Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.

So in general f(n)=f(n-1)+f(n-2).

So the full recursive definition is:

f(n)=f(n-1)+f(n-2)

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3 years ago
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mina [271]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
I really need help with this assignment can somebody please help me there are 7 questions? The assignment is functions.
I am Lyosha [343]

Answer:

he's right its D

Step-by-step explanation:

3 0
3 years ago
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