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Irina18 [472]
3 years ago
14

If you were to solve the following system by substitution, what would be the best variable to solve for and from what equation?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
7 0

Answer: B. x, in the second equation

Step-by-step explanation:

The given system :

2x+6y=9...................(1)\\\\3x-12y=15.........................(2)

To apply the substitution method , first we need to select the best variable and  a equation which is easy to simplify.

From the given system equation (2) have all the numbers which are multiples of 3.

Then we divide 3 on both sides of equation (2), we get

x-4y=5\\\\\Rightarrow\ x=4y+5

Therefore, the best variable to solve for and from what equation is x, in the second equation.

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10.5 + 3.5 /2 i need help
Fittoniya [83]

Answer:

12.25

Step-by-step explanation:

Remember PEMDAS!!

You would divide 3.5 to 2 first which is 1.75, then add 10.5 and 1.75 which equals 12.25.

P = ( )

E = exponents

M/D = Multiply/Divide

A/S = Add/Subtract

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3 years ago
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
kodGreya [7K]
In this questions, there are a few functions with more/less than and equal to symbol. 
1.  Answer: f(x)= 3
f(x)= 2<x ≤3
The x is [more than 2] and [less than 3] or [equal to 3]. The number that will fulfill the condition would be only 3 since 3 is [more than 2] and [equal to 3].

2. f(x)= 1
f(x)= 0<x ≤1
The x is [more than 0] and [less than 1] or [equal to 1]. The number that will fulfill the condition would be only 1 since 1 is [more than 0] and [equal to 1].


3. f(x)= x
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The x is [more than 1] or [equal to 1] and [less than 2] or [equal to 2]. The number that will fulfill the condition would be
1, since 1 is [equal to 1] and [less than 2] 
2, since 2 is [more than 1] and [equal to 2] 
The graph that follow the value would be: f(x)= x

4. Answer: f(x)= 4
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The x is [more than 3] and [less than 4] or [equal to 4]. The number that will fulfill the condition would be only 4 since 4 is [more than 3] and [equal to 4].
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What is the 12<br>th term rule of the linear sequence 13 7 1 -5 -11​
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Answer:

<u>-53</u>, f(n) = -6(n-1) + 13

Step-by-step explanation:

given the equation to this linear/arithmetic sequence for the nth term: f(n) = -6(n-1) + 13

f(12) = -6(12-1) + 13

f(12) = -6(11) + 13

f(12) = -66 + 13

f(12) = -53

*substitute and simplify*

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

given f(1) = 13, f(2) = 7, and f(3) = 1

7-13 = 1-7 = <u>-6</u> = d

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

f(1) = <u>13</u> so

the equation must be f(n) = <u>13</u> <u>-</u><u> </u><u>6</u>(n-1) or -6(n-1) + 13

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3 years ago
To print a telephone book,565 sheets of paper were used. If the book is 2.6 inches thick,what is the thickness of each sheet of
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ANYONE I NEED HELP PLEASE!!! 100 POINTS + I WILL GIVE U BRAINIAC
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The artist needs 180.5 square inches of material to create the kite.

Step-by-step explanation:

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Step 2; Area of the given kite is found using p and q by the following method;

Area of the kite = \frac{1}{2} × (19 × 19) = 180.5 square inches.

So the 4^{th} option is the amount of material she requires.

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