Answer:
C) 1/3
Step-by-step explanation:
First look at equation: 3x+y=1
re-write as y=mx+b
y=-3x+1
so the slope of this equation i s-3
so if a line is perpendicular to the above equation,
its slope will be reciprocal negative which is 1/3
Answer:
Step-by-step explanation:
A=1/2(r+2)
2A=f(r+2)
2A/f=r+2
2A/f-2=r
Answer:
7.3%
Step-by-step explanation:
First you have to find out what 38 out of 41 is as a percentage
This is 92.68%
so now we have to do
100.00 - 92.68 this is 7.32
But you said round to the nearest tenth so it would actually be rounded down to 7.3%
Step-by-step explanation:
I am not sure what your problem here is.
you understand the inequality signs ?
anyway, to get
6×f(-2) + 3×g(1)
we can calculate every part of the expression separately, and then combine all the results into one final result.
f(-2)
we look at the definition.
into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?
is -2 < -2 ? no.
is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.
so, we have to use
1/3 x³
for x = -2 that is
1/3 × (-2)³ = 1/3 × -8 = -8/3
g(1)
again, we look at the definition.
into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?
is 1 > 2 ? no.
is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.
so we have to use
2×|x - 1| + 3
for x = 1 we get
2×0 + 3 = 3
6×f(-2) = 6 × -8/3 = 2× -8 = -16
3×g(1) = 3× 3 = 9
and so in total we get
6×f(-2) + 3×g(1) = -16 + 9 = -7
Having drawn one king, there are 3 kings remaining and a total of 51 cards. Therefore the probability of drawing another king is 3/51 = 1/17.
