Answer:
a) 5765760
b) 60480
c) 5705280
Step-by-step explanation:
Assuming that order is not important:
Number of women = 7
Number of men = 9
Members of the delegation = 6
a) How many delegations are possible?
b) How many of these delegations have all men?
c) How many of these delegations have at least one woman?
<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.
The width is x
<span>The length is x+60 </span>
<span>so x(x+60) = 16000
</span>
<span>x^2 + 60x = 16000
</span>
<span> </span>
<span>x^2 + 60x + 900 = 900+16000
</span>
<span>(x+30)^2 = 16900
</span><span> </span>
<span>x+30 = 130
</span>
<span>x = 100
So your answer is 100. </span>
Your answer is drives 55 miles
