Answer:
The answer is in the pictures.
Step-by-step explanation:
The price of a television is $567.31. The state sales tax rate is 8.3%.
2 answers:
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The piece-wise linear functions can be written as follows:
.
.
.
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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Let
g(x)--------> the translation of the function f(x)
we know that
the rule of the translation is
units left and
units down
that means
so
In the function f(x) the point is equal at the point
in the function g(x)
therefore
the function g(x) is equal to
<u>The answer is</u>
a) the rule of the translation is
b) The graph in the attached figure
