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Ray Of Light [21]
2 years ago
6

How do you know that substitution gives the answer to a system of equations?

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
3 0
It gives the answer to a system of equations because it explains it
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Indeed help with this plz
gizmo_the_mogwai [7]

Answer:

x=\frac{6-y-z}{3}

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Median number for 46,58,72,85,93​
Inga [223]
When u all those 5 numbers together u get 354 so:
354/5= 70.8
70.8 is ur median
5 0
2 years ago
Read 2 more answers
Patrick went cycling one weekend.
Margarita [4]
For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))
8 0
3 years ago
Any help please? For extra credit
Law Incorporation [45]

Answer:

see explanation

Step-by-step explanation:

(a)

A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.

Here d = - 4 , then recursive formula is

a_{n} = a_{n-1} - 4 with a₁ = 2

(b)

The explicit formula for an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = - 4, thus

a_{n} = 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula

(c)

Using the recursive formula

a₁ = 2

a₂ = 2 - 4 = - 2

a₃ = - 2 - 4 = - 6

Using the explicit formula

a₅ = 6 - 4(5) = 6 - 20 = - 14

a₁₀ = 6 - 4(10) = 6 - 40 = - 34

a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394

4 0
2 years ago
Find the 25th term of an arithmetic sequence whose first term is 12 and whose common difference is ‒6.
blondinia [14]
C -132 is the answer
8 0
2 years ago
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