A. SOLVE THE FOLLOWING PROBLEMS ABOUT ARITHMETIC SEQUENCE AND ARITHMETIC SERIES ( SHOW YOUR SOLUTIONS) USE THE FORMULAS:
an = a1 + (-1)d for arithmetic sequence
Sn = n/2 (a1 + an) or Sn + n/2 {(2a1 + (n-1)d} for arithmetic series
I. ARITHMETIC SEQUENCE
1. 7th term of an arithmetic sequence given at first term is 3 (a1 + 3) and the commo difference is 4 (d = 4)
2. If a1 = 5 ; an = 450 and d = 5. find the value of N
3. The third is -20 and the 1th term is 44. What is the first term (a1)?
4. Find the 50th term of 5, 25, 45, 65, 85...
5. Find the 16th term of 5, 10, 15, 20...

the answer to the question is a

step-by-step explanation:

it has the same slope and the same y-intercept.

y + 11 = -7/9(x - 18)

y + 11 =-7/9x + 14

b

y = -7/9x + 3

y-intercept (0, 3)

step-by-step explanation:

this is not a question

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)