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SOVA2 [1]
3 years ago
5

What is the vertex of the graph of g(x)=|x-3|-3

Mathematics
1 answer:
Sedbober [7]3 years ago
3 0

Answer:

(3, -3)

Step-by-step explanation:

The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0).   Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right.  Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down.  Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).

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Carl wants to plant a garden that is 1 1/2 yards long and has an area of 3 1/2 yd.² how wide should the Garden be
lesya692 [45]
L= length= 1 1/2 yards
A= area= 3 1/2 yards^2
w= width

Area= length * width
plug in numbers you know
3 1/2= (1 1/2)(w)
convert to improper fractions
(3*2+1)/2= ((1*2+1)/2)(w)
7/2= 3/2w
divide both sides by 3/2
7/2 ÷ 3/2= w
to divide fractions, multiply by the reciprocal/inverse of 3/2
7/2 * 2/3= w
(7*2)/(2*3)= w
14/6= w
reduce by 2
7/3= width as improper fraction
OR
2 1/3= width as mixed fraction

ANSWER: The width should be 2 1/3 yards wide (or 7/3 yards wide).

Hope this helps! :)
8 0
3 years ago
The product of -6 and the quantity of the sum of a number, x, and 8 is more than -36. what are the possible solutions for the nu
dem82 [27]
-6(x + 8) > - 36
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x < -12/6
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7 0
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Never is the right answer .
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Answer: 2.25

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