<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.
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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.
Answer:
240
Step-by-step explanation:
you have to calculate the area of the triangle and the rectangle separately and add them.
Arec=bh
Arec= 20*10
Arec=200
Atri=1/2bh
Atri=1/2(20*4)
Atri=1/2(80)
Atri=40
TOTAL AREA =AREA OF THE TRIANGLE + AREA OF THE RECTANGLE
TOTAL AREA=200+40
TOTAL AREA=240
Answer:
B, D
Step-by-step explanation:
Answer:
It would take you 9 hours
Step-by-step explanation:
Speed (s) = Distance (d) / Time (t)
given that; Speed = 42 miles/hour
Distance = 361 miles
42 miles/hour = 361 miles / Time (t)
Time (t) * 42 miles/hour = 361 miles
Time (t) = 361 miles / 42 miles/hour
Time (t) = 8.59 hours
≈ 9 hours (to the nearest hour)
