It is defined by 3 points and can be named at least 2 different ways
1 answer:
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Answer:
See below.
Step-by-step explanation:
To complete the table, start by copying the given function.
f(x) = |-2x + 4|
Now let's start with the first line of the table: x = 6.
You are finding the value of function f when x = 6.
Replace x with 6 and evaluate the expression.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
Second line of table:
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
For the third and fourth lines, you are given a y value, or the value of function f, and you are looking for x. Now you use the given value to set the function equal to, and you solve for x.
Line 3: f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
The table looks like this:
x f(x)
6 8
-1 6
0,4 4
-5, 9 14
Answer:
Speed of the first car = x = 35km/hr
Speed of the second car = 25km /hr
Step-by-step explanation:
The calculation of speeds of the cars is given below:-
Assume that the speed of the 1st car which is opening from A = x km/hr
and assume the Speed of the 2nd car which is starting from B
= y km/hr
As we know that
Time = Distance ÷ Speed
So, the distance lies between two places i.e. A and B are
80km d = 80 km
1. now when the car moves in the similar direction
So, the corresponding speed of them = (x + y)km/hr
Time = 8hr
d = 80km
2. when two cars moving in the inverse direction,
So, the corressponding speed = (x - y) km / hr
Time = 1 hr 20 minutes
That means
= (1 + 20 ÷ 60) hr
= (80 ÷ 60)
= 4/3 hr
d = 80km
Now
4 ÷ 3 = 80 ÷ (x -y)
x -y = (80 × 3) ÷ 4
x - y = 60 ..... (ii)
Now, we will sum equation 1 and equation 2 we will get
2x = 70
x = 35
now, Put x = 35 in (i) we will get
y = 25
Speed of the first car = x = 35km/hr
Speed of the second car = 25km /hr