Answer:
Step-by-step explanation:
solid line means >=
y >= x+1
dotted line mean >
y > -x-2
combining
the system of inequalities is y >= x+1 and y > -x-2
Using a linear function, it is found that the product rs is rs = 81.
<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.
In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:
m = -16/64 = -0.25.
Hence:
y = -0.25x + b.
When x = 34, y = -4, hence this is used to find b.
-4 = -0.25(34) + b
b = 4.5.
Hence the function is:
y = -0.25x + 4.5.
f(r) = 0, hence:
-0.25x + 4.5 = 0
x = 4.5/0.25
x = 18
r = 18.
f (0) = s, hence s = 4.5.
Then the value of the product is:
rs = 18 x 4.5 = 81.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
v = 4
Step-by-step explanation:
<em>u + at = v</em>
a (-2) multiplied by t (3) = -6
-6 + u (10) = 4
Answer:
Step-by-step explanation:
The circumference of the circle is 6π inches
The length of the arc is (20/360)×6π = 1.04 inches
(The complete circumference would cover 360°. Angle ALB is 20°)
