Answer:
x ≤ 3
Step-by-step explanation:
2(4+2x) ≥ 5x+5 (by PEDMAS, expand parentheses first)
4(2) + 2x(2) ≥ 5x + 5
8 + 4x ≥ 5x + 5 (subtract 8 from each side)
4x ≥ 5x + 5 - 8
4x ≥ 5x - 3 (subtract 5x from both sides)
4x -5x ≥ - 3
-x ≥ - 3 (multiply both sides by -1, remember to flip the inequality when multiplying both sides by a negative number)
x ≤ 3
There are two solutions.
.. (3, 2)
.. (0.2, -3.6)
_____
If you're choosing possibilities from a list, trying them in the equations usually gives quick results.
Answer:
$1,701.64
Step-by-step explanation:
(see attached for reference)
recall that for compound interest, the following formula applies:
A = P [1 + (r/n) ] ^ (nt), where
A = final amount (we are asked to find this)
P = Principal amount = $1,200
r = interest rate = 5% = 0.05
t = 7 years
n = 12
Substituting these into the equation,
A = 1200 [1 + (0.05/12) ] ^ [(12)(7)]
A = $1,701.64
a = 2x + 6xz
a = x(2 + 6z) <em>factored out "x" on right side</em>
a/(2 + 6z) = x <em>divided both sides by (2 + 6z)</em>
Answer: x = 
Answer:
Function; Not a function
Step-by-step explanation:
Write the ordered pair in the first set (x, y): (1, 11), (2, 7) , (3, 2)
Write the ordered pair in the second set (x, y): (1, 3), (1, 4), (2, 4) , (3, 2)
The first set in a function because no ordered pair has the same x value.
The second set in not a function because the x value is the same in two of the ordered pairs.