Answer
Part A
1 - 1
2 - 3
3 - 6
4 - 10
5 - 15
Part B
Now plot these points on the coordinate plane
(1,1) (2,3) (3,6) (4,10) (5,15)
Part C
It is NOT a linear function
A. 0.15 Because its making me type twenty characters.
Answer:
24 years old
Step-by-step explanation:
Let the age of Blake be x and the age of Heather by y then...
x=7+y
7+x+7+y=55
Notice we are adding additional 7s because the question states "in 7 years"
Simplify the second equation...
7+x+7+y=55
14+x+y=55
Subtract 21 from both sides
x+y=41
Solve using substitution (substitute 7+y for x since x = 7+y)
7+y+y=41
Combine like terms
2y+7=41
Subtract 7 from both sides
2y=34
Divide both sides by 2
y=17
x=7+17=24
Blake is 24 years old now
This is an excellent practice for the solution of quadratic equations.
1*36=36 => (1,36)
2*18=36 => (2,18)
3*12=36 => (3,12)
4*9=36 => (4,9)
6*6=36 => (6,6)
9*4=36 => (9,4)
12*3=36 => (12,3)
18*2=36 => (18,2)
36*1=36 => (36,1)
We can see that the sum decreases until the two factors are close (or equal) and then increases again.
The pair of integers with a sum of 20 is therefore (2,18) or (18,2).
Answer:
It's the last choice.
Step-by-step explanation:
| n | ≤ 2 represents the distance between n and 0 that is less than or equal to 2. The dots on the 2 and -2 are black because the equal sign is part of the inequality.
Note the vertical lines about the n mean the absolute value of n - the positive distance between n and 0, which has a maximum of 2 either side of the 0.
