In order to understand if the inequalities are always, never or sometimes true, you need to perform the calculations:
A) <span>9(x+2) > 9(x-3)
9x + 18 > 9x - 27
the two 9x cancel out and you get:
+18 > -27
which is always true.
B) <span>6x-13 < 6(x-2)
6x - 13 < 6x - 12</span>
</span><span>the two 6x cancel out and you get:
- 13 < -12
which is always true
C) </span><span>-6(2x-10) + 12x ≤ 180
-12x +60 +12x </span>≤ 180
-12x and +<span>12x cancel out and you get:
60 </span><span>≤ 180
which is always true.
All three cases are always true.</span>
It's 3.3 because the 2 is in the tenths place and you look at 6 and say is it over 5? Yes it is so the next number after 2 is 3 so your answer is 3.3
153 x 7.14 = 1092.42
so every year she gets $1092.42
so times that by 6 and the answer is $6554.52
The polynomial will be a binomial as it contains 2 terms. Both 5x^9 and 17x^5.
Both of these are found in the function labelled as g(x).
A
The first equation has slope 6 and y intercept -4. I'd plot y intercept (0,-4) and (1,2), and connect the dots and extend for the first line.
The second equation has slope 5 and y intercept -3. I'd plot y intercept (0,-3) and (1,2), and connect the dots and extend for the second line.
We stumbled on the solution, both lines contain (1,2)
B
I don't like the graphing. This is algebra, not connect the dots.
We have two equations for y, we equate them to find the x where they meet.
6x - 4 = 5x - 3
6x - 5x = -3 + 4
x = 1
y = 6(1) - 4 = 2
Check: y = 5(1) - 3 = 2, good
Answer: (1, 2)
