f(x) = 2x - 3, for f(x) = 13
13 = 2x - 3
Add 3 to both sides.
16 = 2x
Divide both sides by 2
8 = x
Answer:
Option b is correct 175
Step-by-step explanation:
n = 7
k = 6
3k -2 ------1
put k = 6 in above eq. for finding first term
a1 = 3(6) - 2 = 18 - 2 = 16
put k = 7 in above eq. for finding first term
a2 = 3(7) - 2 = 21 - 2 = 19
a3 = 3 (8) - 2 = 24 - 2 = 22
16, 19 , 22, ... //Arithmetic series formation
a1 = 16 , a2 = 19
d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms
Using sum forumula for arithmetic series
sum = 
= 
= 
=
=
= 7 * 25
= 175
70 flowers were planted in all.
Step-by-step explanation:
Let,
Tulips = t
Daises = d
Lilies = l
Total tulips planted = 42
She planted 2 times as many tulips as daises.
t=2d
Putting t=42

Dividing both sides by 2

And 3 times as many daisies as lilies.
d=3l
Putting d=21

Dividing both sides by 3

Total flowers planted = Tulips + Daisies + Lilies
Total flowers planted = 42 + 21 + 7 = 70
70 flowers were planted in all.
Keywords: division, addition
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