Answer:
domain: 2x+1 not equal to zero, then x not equal to -1/2
Set 2x+1>0
then x>-1/2
100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)
100^(3-4x)<=0.01^(5x-8)
(10^2)^(3-4x)<=[10^(-2)]^(5x-8)
10^[2*(3-4x)]<=10^[(-2)*(5x-8)]
10^(6-8x)<=10^(16-10x)
6-8x<=16-10x
2x<=10
x<=5
combine x>-1/2 and x<=5
then - 1/2<x<=5
Set 2x+1<0
then x<-1/2
100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)
100^(3-4x)>=0.01^(5x-8)
(10^2)^(3-4x)>=[10^(-2)]^(5x-8)
10^[2*(3-4x)]>=10^[(-2)*(5x-8)]
10^(6-8x)>=10^(16-10x)
6-8x>=16-10x
2x>=10
x>=5
combine x<-1/2 and x>=5
, then x does not exist while 2x+1<0
so answer is - 1/2<x<=5
In order to purchase fencing to go around a rectangular yard you would need to use the perimeter
Answer:
98 - 84 = 14(this is the change) now we convert this to a percent
14/1 x 100/100 = 14%
Answer:
5 dollars more
Step-by-step explanation:
Right now, Jake is using a material that gives him 27 dollars of profit per deck. If he switches to a new material, the profit that he gets is expressed by the function y = 32x. To make this a bit easier to understand, let's switch out y and x for some easier words.
profit = (number sold)*32
This function shows that for each deck with the new material, Jake will get 32 dollars profit. Since the question asks for how many more dollars, we can get the answer by
32 - 27 = 5.
If you still don't understand it, you can think of his old material in a function too:
y = 27x or profit = (number sold) * 27.
Comparing that one with the one above with the new material, we can tell that 32 represents the profit per deck.
S is 30 degrees :) triangles are 180 degrees and you already know the measure of two, so if you add 85+65 you get 150. the. you subtract 180-150 and you get 30!