Converting all to improper fractions
31/10s = 31/5
5×31s=31×10
155s = 310
s=310/155= 2
20/9=-4/5m
5×20=-4×9m
100=-36m
m=100/-36 = 72 28/36 = 72 7/9
-14/5=-7/2n
-14×2=5×-7n
-28=-35n
n =-28/-35
n=28/35
For 1: I used a calcultor I first wanted see how many groups of 24 their are out of 200. So I put in 200 / 24 = 8.33333333 Then I wanted to see the total number of students that have a tablet so I multiplied that 8.33333333 by 6 and got =50. So 50 out of 200 students have an electronic tablet.
2: I just used a calculator: 2.25 * 5 = 11.25 kilometers
y-8= -4(x-1)
point slope form without the numbers is
y-y1=m(x-x1)
Answer:
Angle 5 = 37°
Angle 8 = 143°
Step-by-step explanation:
Angle 2 = Angle 8
Reason : Alternate exterior angles are equal.
Therefore,
Angle 8 = 143°
Angle 5 + Angle 8 = 180°
Reason : Angle 5 & 8 are in a linear pair.
Angle 5 + 143° = 180°
Angle 5 = ( 180 - 143 )°
Angle 5 = 37°
Answer:
f⁻¹(x) = x+2 / 3
Step-by-step explanation:
Given function is:
f(x) = 3x-2
We have to find the inverse of the given function.
Put y = f(x) in given function, we have
y =3x-2
Adding 2 to both sides of the above equation we have
y+2 = 3x-2+2
y+2 = 3x
Dividing by 3 to both sides of the above equation, we have
y+2 / 3 = 3x / 3
y+2 / 3 = x
Put x = f⁻¹(y) in the above equation we have
y+2 / 3 = f⁻¹(y)
Swapping equation we have
f⁻¹(y) = y+2 / 3
Replace y with x we have
f⁻¹(x) = x+2 / 3 which is the answer.
