Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
The graph of g(x) is the graph of f(x) shifted up by 4 units
<span>the expressions that are NOT polynomials
</span><span>A. x^2-(square root of x)-3
</span><span>C. 5x^1/2 + 4x^2
</span><span>E. x^2-x-12/x+3
(method: check polynomials lesson)</span>
Answer:
7 and 3
Step-by-step explanation:
She added -14 to 5. You can always find out what 14-5 is and remember to put the negative sign!
Answer:
- shorter part: 12 ft
- longer part: 13 ft
Step-by-step explanation:
Let s represent the length of the shorter part (in feet). Then the longer part has length (s+1), and the total length of the two parts is ...
s + (s+1) = 25
2s = 24 . . . . . . . subtract 1, simplify
s = 12 . . . . . . . . . divide by 2; the length of the shorter part
s+1 = 13 . . . . . . . the length of the longer part
The shorter part is 12 feet long; the longer part is 13 feet long.
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<em>Comment on this problem type</em>
You will note that the smaller number is half the difference of the total length (25) and the difference in lengths (1). This is the generic solution to a "sum and difference" problem. The smaller number is half the difference of the given numbers, and the larger number is half their sum: (25+1)/2 = 13.