Answer:
ASA
Step-by-step explanation:
there are two congruent angles with an included side in between
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
<span>The answer is She should have multiplied by 2 instead of dividing by 2.
First one.</span>
1 and 1/2x+3/4x=5/8
combine x's
1 and 1/2x=4/4x+2/4x=6/4x
6/4x+3/4x=5/8=9/4x
9/4x=5/8
multiply both sides by 8
18x=5
x=5/18
x=5/18 or aprox 0.277777777777
Solution:
we are given that
A number picked at random from the numbers 1 through 15 is prime.
As we know the number between 1 and 15 which are primes are listed below
2,3,5,7,11,13.
Here total number of favourable outcomes are 6.
The numbers 1 through 15 are as below:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15.
Here total number of possible outcoes are 15.
Hence the probability that if a number picked at random from the numbers 1 through 15 is prime
Hence the probability that if a number picked at random from the numbers 1 through 15 is prime is 0.4
