Answer:
1, -5/2, 3
Step-by-step explanation:
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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Answer:
24 hours
Step-by-step explanation:
set up a ratio:
12 miles = 16 hours
------------- ------------
18 miles = x hours
cross multiply
12m * x = 16h * 18 m
solve for x
x=16h * 18m / 12m = 24 hours
Hello,
Radius= √((4-0)²+(5-0)²)=√41
Equation of the circle : x²+y²=41
Density = mass / volume
Density = 8,200 grams / (4*4*4)
Density = 8,200 grams / 64 cubic inches
Density =
<span>
<span>
<span>
128.125
</span>
</span>
</span>
grams / cubic inch