The crab crawls 7ft below (-7) and the bird flies ft above (15) so the distance between 15 and -7 is 22
2 1/2 yards = 7.5 ft
1 foot and 6 inches = 1.5 ft
7.5-1.5 = 6
6 ft = 72 inches
Anais used 72 inches of ribbon.
Set up a proportion. 3.50 over 5 = x over 1 (x is what we are trying to find= the cost of 1 lb of apples)
Use cross products and multiply 3.50 by 1 to get 3.50 and then divide that by 5 to get 0.7.
So the apple cost 0.7 or seventy cents per pound.
Check: 0.7*5=3.5
That is correct!
Hope this helps!
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Answer:
C
Step-by-step explanation:
I’m not entirely sure if this is right but I hope I helped.
Answer:
2. a and b only.
Step-by-step explanation:
We can check all of the given conditions to see which is true and which false.
a. f(c)=0 for some c in (-2,2).
According to the intermediate value theorem this must be true, since the extreme values of the function are f(-2)=1 and f(2)=-1, so according to the theorem, there must be one x-value for which f(x)=0 (middle value between the extreme values) if the function is continuous.
b. the graph of f(-x)+x crosses the x-axis on (-2,2)
Let's test this condition, we will substitute x for the given values on the interval so we get:
f(-(-2))+(-2)
f(2)-2
-1-1=-3 lower limit
f(-2)+2
1+2=3 higher limit
according to these results, the graph must cross the x-axis at some point so the graph can move from f(x)=-3 to f(x)=3, so this must be true.
c. f(c)<1 for all c in (-2,2)
even though this might be true for some x-values of of the interval, there are some other points where this might not be the case. You can find one of those situations when finding f(-2)=1, which is a positive value of f(c), so this must be false.
The final answer is then 2. a and b only.