<h3>
Answer: D) The y intercept is (0,1)</h3>
This can be confirmed by plugging x = 0 into the function to find that...
y = (1/2)^x
y = (1/2)^0
y = 1
Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.
---------------
Extra info (optional section):
- We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
- Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
- Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.
Good morning
Answer:
B: (1, 5)
Step-by-step explanation:
This graph shows the solutions to the inequality: y > (1/3)x - 2
Since, 5 > (1/3)×1 - 2 then the point (1 ,5) is a solution to the inequality.
____________________________
:)
First you must bring all x on one side and all normal numbers on the other side:
6x+3 = 5x - 5 )-5x
1x + 3 = -5 )-3
1x = -8
At last you must divide 8 by the number, that is multiplied with x:
1x = -8 ):1
x = -8
The exchange rate is 60:50 (us:euro)
if you have 70 euros, then x:70
60(x) : 70(50)
60x /60 : 3500/60
x = 58.33
seventy euro dollars = $ 58.33 on that particular day
hope this helps
