Answer:
Step-by-step explanation:
10 - 4m + 7m = m - 10
Simply both sides:
10 + -4m + 7m = m + -10
Combine like terms:
( -4m + 7m) + (10) = m - 10
3m + 10 = m -10
3m + 10 = m - 10
Subtarct m from both sides:
3m + 10 - m = m - 10 - m
2m + 10 = -10
Subtract 10 from both sides:
2m + 10 - 10 = -10 - 10
2m = -20
Divide both sides by the 2:
2m/2 = -20/2
m = -10
<u>Answer =====> m = -10</u>
Hope that helps : ) -P-
Answer:
The nth term of the arithmetic sequence is;
90 - 3n
Step-by-step explanation:
Here, we want to find an expression for the nth term of the sequence
Mathematically, let us determine the type of sequence
As we can see;
84 - 87 = 81-84 = -3
The difference between the terms is a constant; this means that the sequence is arithmetic
The nth term of an arithmetic sequence can be represented by;
Tn = a + (n-1)d
in this case, a is the first term of the sequence = 87
d is the common difference of the sequence = -3
The nth term is thus;
Tn = 87 + (n-1)-3
Tn = 87 - 3n + 3
Tn = 87 + 3 - 3n
Tn = 90 - 3n
9514 1404 393
Answer:
A(w) = w(3w-2)
A(2) = 8 . . . . square feet
Step-by-step explanation:
For width w, the length will be 3w-2, two feet less than 3 times the width. The area is the product of length and width, so is ...
A = WL
A(w) = w(3w-2)
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To find the area for a width of 2, we put 2 where w is, then evaluate.
A(2) = 2(3·2 -2) = 8 . . . . square feet
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