Answer:
6x +4
Step-by-step explanation:
9 + 6x - 5 =
Combine like terms
6x +4
Answer:
= 2n²
Step-by-step explanation:
From the sequence 2,8,18,32,50
The difference between each numbers are
: 6, 10, 14, 18
The difference between the second sequence is 4.
Therefore the nth term of the sequence is 2n²
Answer:
3. 72= (x)+(x+1)+(x+2) where x= the smallest number
72=3x+3
-3 -3
69=3x
/3 /3
x=23
x+1=24
x+2=25
smallest is 23
4. 48= (x)+(x+2)+(x+4)
48= 3x+6
-6 -6
42=3x
/3 /3
x=14
x+2=16
x+4=18
smallest is 14
5. all erasers were the same cost
25= 4x+5 (x= cost of erasers)
-5 -5
20=4x
/4 /4
x=5
each cost $5
6. b= boxes
22= b/2 +7
-7 -7
15=b/2
multiply both sides by 2 to cancel the denominator
30=b
30 boxes originally
7. 40= total
8= left
2= balls given to each
x=number of friends
40= 2x+8
-8 -8
32=2x
/2 /2
x=16
she has 16 friends
8. 12= left
a= total allowance
12= (a/2) +4
-4 -4
8= a/2
multiply both sides by 2 to cancel the denominator
a= $16
she had an allowance of $16
9. 4 (2) = amount that her four children recieved
10=amount she took for herself
x= original
x= 4(2) + 10
x= 8 +10
x=18
she started with 18 candies
10. a= age
244= 400 - 2a
-400 -400
-156= -2a
/-2 /-2
a= 78
they are 78 years old
11. c= comic books
36= c/2 + 16
-16 -16
20=c/2
multiply both sides by 2 to cancel the denominator
c=40
she started with 40 comic books
12. b= students in buses
472= 9b + 4
-4 -4
468=9b
/9 /9
b= 52
52 students went in each bus
13. h= hats
17= h/2 +5
-5 -5
12=h/2
multiply both sides by 2 to cancel the denominator
h=24
she had 24 hats on monday
14. p= pies the club made
60= (p+4)/5
multiply both sides by 5 to cancel the denominator
300=p+4
-4 -4
p= 296
the club made 296 pies
Step-by-step explanation:
The missing numbers are 3, and 7
the pattern is +2 to each number
X^2 = 4x + 12
x^2 - 4x - 12 = 0, use the quadratic equation
Solve for x over the real numbers:
(x - 6) (x + 2) = 0
Split into two equations:
x - 6 = 0 or x + 2 = 0
Add 6 to both sides:
x = 6 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 6 (or x = -2 only positive solution)
