Three consecutive even integers can be represented by x, (x+2), and (x+4).
(x + (x + 2) + (x + 4)) - 10 = -22 Get rid of the parentheses
x + x + 2 + x + 4 - 10 = -22 Combine like terms (x + x + x) and (2 + 4 - 10)
3x - 4 = -22 Add 4 to both sides
3x = -18 Divide
x = -6
Check you work.
x = -6
x + 2 = -4
x + 4 = -2
(-6 - 4 - 2) - 10 = 22
-12 - 10 = -22
So, your three integers are -6, -4, and -2 .
15x+10z is equivalent to 5(3x+2z)
Solution:
Rewrite 3 ≥ y - 2 for easier calculation:
y - 2 ≤ 3
Move the term:
y ≤ 3 + 2
y ≤ 5
When graphing the solution, filled dot (black arrow) is used for ≤ and ≥ while empty dot (white arrow) is used for < >
Answer:
About 0.3 billion dollars
Step-by-step explanation:
5 years = 60 months.
The 150 of the first month will be 150*1.07^60 in 5 years.
The 150 of the second month will be 150*1.07^59 in 5 years.
The 150 of the third month will be 150*1.07^58 in 5 years.
And so forth.
So we sum that up:
( sum_(n=1)^(60) 150×1.07^n)
And multiply with
× 1.07^(5×23)
to account for the increase in value in the following 23 years.
Answer:
Figure C
Step-by-step explanation:
Figure A represents a ray because it has arrow only on one end.
Figure B is a line segment because it stops on both ends.
Figure C is a line because it has arrow on both ends.
Figure D is an angle, because it is 2 rays joined at a vertex.