∑ ( from n = 1 to n =5 ) 3 · ( -2 ) ^( n -1 )
a 1 = 3 · ( -2 ) ^0 = 3
a 2 = 3 · ( - 2 ) = - 6
a 3 = 3 · 4 = 12
a 4 = 3 · ( - 8 ) = - 24
a 5 = 3 · 16 = 48
3 - 6 + 12 - 24 + 48 = 33
Answer: C ) 33
Answer: 11.5
Step-by-step explanation:
It’s delta y over delta x so you would take any two combination of coordinates and subtract and divide. I used 57.50-23 over 5-2... this gets you 34.5 over 3. This is also equal to 11.5 :)
Answer:
4/5
Step-by-step explanation:
Thus, 4/5 is the simplified fraction for 48/60 by using the GCD or HCF method. Thus, 4/5 is the simplified fraction for 48/60 by using the prime factorization method.
Answer: 15 goats
Step-by-step explanation:
h = hens - they have 2 legs
g = goats - they have 4 legs
The equations would be:
h + g = 19
2h + 4g = 68
To solve this, I personally prefer substitution, we're isolating h since we need to find g:
h + g = 19
h = 19 - g
Now that we have h, we can plug this into the second equation:
2h + 4g = 68
2(19 - g) + 4g = 68
38 - 2g + 4g = 68
2g = 30
g = 15
There are 15 goats.
Adding onto this, 19 - 15 = 4, so there are 4 hens.
Answer:
(0,3)
Step-by-step explanation:
Given inequality is
y< x+ 4
to check the solution we plug in each ordered pair and check with our inequality
Lets check (-1,4)
here x=-1 and y =4
We plug in -1 for x and 4 for y in our inequality y<x+4
4 < -1 + 4
4 < 3 that is false, so (-1,4) is not our solution
Now we plug in (0,5), x=0 and y = 5
y < x+4
5 < 0 + 4
5<4 that is false, so (0,5) is not our solution
Now we plug in (0,3), x=0 and y = 3
y < x+4
3 < 0 + 4
3<4 that is true, so (0,3) is our solution
