<h3>
Answer:</h3>
b. The side length of a cube is dependent on the volume.
<h3>
Step-by-step explanation:</h3>
The function definition V(s) means the volume (V) is dependent upon the side length (s), <em>not the other way around</em>.
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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First find the slope of the line = (y2 - y1) / (x2 - x1) where the 2 points are (x1, y1 and (x2, t2).
Then substitute the values of the slope (m) and one of the points into the point-slope formula
y - y1 = m(x - x1)
Answer:
Step-by-step explanation:
a.
slope=-1/2
b.
eq. of line is
y-0=(-2-0)/(0-(-2)(x-(-2))
y=-2/2 (x+2)
or y=-x-2
Q1: 7×6 = 42
Q2: 42×1/8 = 42/8 = 5.25 (5 1/4) in^3
Q3: (0.5)^3 = 0.5×0.5×0.5 = 0.125 m^3
Q4: 4(5/2)^2 = 4×5/2×5/2 = 4×25/4 = 25 in^3
Q5: 3(13/2)(3/2) = 117/4 = 29.25 (29 1/4) in^3
Q6: (0.9)^3 = 0.729 cm^3