Answer: 4w-14
Step By step explanation: 4(w-2)-6= 4w-8-6= 4w-14
Part (i)
I'm going to use the notation T(n) instead of 
To find the first term, we plug in n = 1
T(n) = 2 - 3n
T(1) = 2 - 3(1)
T(1) = -1
The first term is -1
Repeat for n = 2 to find the second term
T(n) = 2 - 3n
T(2) = 2 - 3(2)
T(2) = -4
The second term is -4
<h3>Answers: -1, -4</h3>
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Part (ii)
Plug in T(n) = -61 and solve for n
T(n) = 2 - 3n
-61 = 2 - 3n
-61-2 = -3n
-63 = -3n
-3n = -63
n = -63/(-3)
n = 21
Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).
<h3>Answer: 21st term</h3>
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Part (iii)
We're given that T(n) = 2 - 3n
Let's compute T(2n). We do so by replacing every copy of n with 2n like so
T(n) = 2 - 3n
T(2n) = 2 - 3(2n)
T(2n) = 2 - 6n
Now subtract T(2n) from T(n)
T(n) - T(2n) = (2-3n) - (2-6n)
T(n) - T(2n) = 2-3n - 2+6n
T(n) - T(2n) = 3n
Then set this equal to 24 and solve for n
T(n) - T(2n) = 24
3n = 24
n = 24/3
n = 8
This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.
<h3>Answer: 8</h3>
Answer:
Range.
Step-by-step explanation:
In Computer programming, a variable can be defined as a placeholder or container for holding a piece of information that can be modified or edited.
Basically, variable stores information which is passed from the location of the method call directly to the method that is called by the program.
For example, they can serve as a model for a function; when used as an input, such as for passing a value to a function and when used as an output, such as for retrieving a value from the same function. Therefore, when you create variables in a function, you can can set the values for their parameters.
Furthermore, the set of all values that a function will return as outputs is called the range of the function.
This ultimately implies that, the range of a function is simply a complete set of possible values that are generated from a dependent variable after a domain has been substituted. Thus, a range is the resulting values from a data set when all the possible input values have been substituted.
The common denominator for 25 and 20 would be 100
25 x 4 = 100
20 x 5 = 100
Rewrite 14/25 as 14 x 4 / 25 x 4 = 56/100
Rewrite 11/20 as 11 x 5 / 20 x 5 = 55/100
14/25 is greater than 11/20
14/25 > 11/20
Answer:
Step-by-step explanation:
There are 2 similar triangles.
EDA and CBA
From that we can get the following proportion.
ED / CB = AD / AB
Filling in the letters we get
6/x = (4 + 3)/3 Combine
6/x = 7/3 Cross Multiply
7x =6*3
7x = 18 Divide by 7
x = 2.57
