Why not draw the graph of y=|x|? It has a v-shape, and the vertex is at (0,0).
The graph of f(x) = |x| - 3 looks exactly the same, EXCEPT that the whole graph of |x| is shifted 3 units downward. The smallest value that y can have is therefore -3.
Can you now figure out the range of f(x)?
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values:
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27 = 8 24/27 = 8 8/9
Answer:
all real numbers.
Step-by-step explanation:
First, distribute 3 to all terms within the parenthesis:
3(x + 4) = 3(x) + 3(4) = 3x + 12
3x + 12 = 3x + 12
Because both sides are the same, your answer for x is "all real numbers".
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The remaining factor of x^2y - 2xy - 24y is (x - 6)(x + 4)
<h3>How to determine the remaining factor?</h3>
The expression is given as:
x^2y - 2xy - 24y
Factor out y from the expression
y(x^2 - 2x - 24)
Expand the equation
y(x^2 + 4x - 6x - 24)
Factorize
y(x - 6)(x + 4)
Hence, the remaining factor of x^2y - 2xy - 24y is (x - 6)(x + 4)
Read more about factored expression at:
brainly.com/question/19386208
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