The piece-wise linear functions can be written as follows:
.
.
.
<h3>What is a linear function?</h3>
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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If this is an exponent, it would be 4 x 4 x 4 x 4 x 4 in expanded form.
Answer:
2.718
Step-by-step explanation:
The thousandths place is 3 to the right of the decimal (the 8).
Since the next number is 2, the number stays the same and does not round up.
Hope this helps :)
Answer:
The bigger pizza has a diameter of 14 inches, or a radius of 14 / 2 = 7 inches.
The smaller pizza has a diameter of 12 inches, or a radius of 12 / 2 = 6 inches.
Step-by-step explanation:
The area of a circle is πR2 where R is the radius.
The difference in the size of the pizzas is
Area of bigger pizza - Area of smaller pizza
= π(7 inches)2 - π(6 inches)2 = = 49π inches2 - 36π inches2 = 13π inches2