Real numbers, rational numbers, Integers, Whole numbers, and Natural numbers.
Answer:
f(x) = 0.2x
Step-by-step explanation:
hello :
let : f(x) = ax+b calculate a and b
f(x-3) =a(x-3)+b = ax+b-3a.....(*)
given : f(x-3) = 0.2x-0.6...(**)
by (*) and(**) : a= 0.2 and b-3a = - 0.6
b-3(0.2) = - 0.6
so : b=0
conclusion : f(x) = 0.2x
Answer:
a = 35
c = 85
Step-by-step explanation:
85 + 60 + a = 180 as they are all supplementary angles (together they form an angle of 180°)
therefore a = 35.
a + ( 180 -(a+85)) + c =180 (as the angles of a triangle add up to 180°. our triangle is NMT, the angles are a, c and 180°-(a+85°) for a theorem about lines secant to parallel lines)
therefore c = 85
The highest point over the entire domain of a function or relation is absolute maximum whereas lowest point under the entire function is absolute minimum....
Based on the calculations, the coordinates of the mid-point of BC are (1, 4).
<h3>How to determine coordinates of the mid-point of BC?</h3>
First of all, we would determine the initial y-coordinate by substituting the value of x into the equation of line that is given:
At the origin x₁ = 0, we have:
y = 2x + 1
y₁ = 2(0) + 1
y₁ = 2 + 1
y₁ = 3.
When x₂ = 2, we have:
y = 2x + 1
y₂ = 2(2) + 1
y₂ = 4 + 1
y₂ = 5.
In order to determine the midpoint of a line segment with two (2) coordinates or endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
Midpoint = (x₁ + x₂)/2
Midpoint = (0 + 2)/2
Midpoint = 2/2
Midpoint = 1.
Midpoint on y-coordinate is given by:
Midpoint = (y₁ + y₂)/2
Midpoint = (3 + 5)/2
Midpoint = 8/2
Midpoint = 4.
Therefore, the coordinates of the mid-point of BC are (1, 4).
Read more on midpoint here: brainly.com/question/4078053
#SPJ1
