Answer:
15%
Step-by-step explanation:
we call the original price 100% and to find the discount amount :
Multiply 100 by $476 then divide by $560
100 × $476 ÷ $560 = 85
$476 is 85% of the original price therefore the amount of discount as in percentage is 100 - 85 = 15%
Insert the point, (5,-2) with the slope of the line to figure out the equation. You can either use point-slope form, or plug it for for slope-intercept form.
Slope-intercept form:
-2 = -2(5) + b
-2 = -10 + b
Add 10 on both sides
8 = b
Thus,
y = -2x + 8
Answer is B
Answer:
The graph of this piece-wise function is attached below.
Step-by-step explanation:
Given the function
- A piece-wise function is a function which has multiple pieces.
- Each of the pieces have their own restrictions.
- The domain of a function is the set of input, or x, values for which the function is defined.
- The range is the set of all values taken by the function
As the piece
has the domain [-5, 3) and graph of this piece is attached below.
and
has the domain [3, 7) and graph of this piece is attached below.
So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval
.
i.e.
Domain: [-5, 3) U [3, 7)
Range: ![\:\left[-1,\:27\right]](https://tex.z-dn.net/?f=%5C%3A%5Cleft%5B-1%2C%5C%3A27%5Cright%5D)
The graph of this piece-wise function is attached below.
<em>Keywords: piece-wise function, domain, range</em>
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Break into 2 equatins to get x's:
2x-6<4 and 2x-6>-4
Solve for x in both:
2x-6<4
2x<10
x<5
2x-6>-4
2x>2
x>1
Graph both inequalities on the same number line:
<---0-----1-----2-----3-----4-----5-----6--->