Answer:
Easy, |-0.825| is less than |-0.875|
Step-by-step explanation:
| means absolute value, which means that it's asking you how far away from it is 0. When you see these |, the number is ALWAYS positive, so if it is a negative, change it to a positive. .825 is less than .875
Reflected across the x-axis
shift right 4 units
shift up 5 units
Answer:
x = -7/5
Step-by-step explanation:
3(x-6) -8x= -2+5(2x+1)
Distribute
3x -18 -8x = -2 +10x +5
Combine like terms
-5x -18 = 3 +10x
Add 5x to each side
-5x+5x-18 = 3+10x+5x
-18 = 3+15x
Subtract 3 from each side
-18-3 = -3+3+15x
-21 =15x
Divide each side by 15
-21/15 = 15x/15
-7/5 = x
Check the picture below.
something worth noticing
so, we're really graphing x+2, with a hole at x = 3, however, when x = 3, we know that f(x) = 5, but but but, when x = 3, x+2 = 5, so we end up with a continuous line all the way, x ∈ ℝ, because the "hole" from the first subfunction, gets closed off by the second subfunction in the piece-wise.
a geometric sequence is a bunch of numbers where you can get from a number to the next number by multiplying the previous number by a certain number
might be confusing so here's an example
1,2,4,8,16
each term is multiplied by 2 to get next term, that number that each term is multiplied by is called the common ratio
formula for geometric sequence is
where is nth term
is first term
r is teh common ratio
n=which term
in our example
1,3, 9, 27, 81
each term is being multiplied by 3 so it is a geometric sequence and thus r=3
also first term is 1 so
so the formula is or in function notation