Ans(1):
Given equation is f(x)=-1.5x+6
we can plug any number like x=0 and x=2 to find the f(x) also called y-value
plug x=0
f(x)=-1.5x+6 =-1.5*0+6 =0+6 =6
Hence first point is (0,6)
plug x=2
f(x)=-1.5x+6 =-1.5*2+6 =-3+6 =3
Hence first point is (2,3)
now we can graph both points then join them to get final graph of f(x)=-1.5x+6
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Ans(2):
We can repeat exactly same process for f(x) = -1/2x-5.
So the final graph will look like attached picture:
Answer:
1. KLP + PLM = 180 degrees (straight line)
2. 3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. x = 27
Step-by-step explanation:
1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)
2. angle KLP = 3x, so
3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. 5 gives 4x = 108, so x = 27
Answer:
Numbers that never end and don't repeat either. In definition, an irrational number is a number that cannot be written as a simple fraction.
Step-by-step explanation:
Examples of irrational numbers are:
*All square roots of natural numbers, except perfect squares, are irrational.:
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*Pi is an irrational number
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Answer:
The linear equation is y = 6 x + 9
The graph is attached down
Step-by-step explanation:
The given information:
The cost of 1st km is 9 Rs
The cost of every kilometer after the first is 6 Rs
x represents the number of km
y represents the total cost of x km
The form of the linear equation is
y = m x + b, where
- m is the slope of the line (rate of change)
- b is the y-intercept (initial value)
From the given information above
m = 6 Rs/km
b = 9 Rs
Substitute them in the form of the equation
y = 6 x + 9
The graph:
Answer:
x = 18
m<A = 166°
Step-by-step explanation:
The parallel lines are cut by a transversal, so corresponding angles A and B are congruent.
7x + 40 = 3x + 112
4x = 72
x = 18
m<A = 7x + 40 = 7(18) + 40 = 126 + 40 = 166