The graph shown here is the graph of which of the following rational
1 answer:
Answer:
Option (B)
Step-by-step explanation:
From the graph attached,
Vertical asymptotes of the function are x = -2, 5
Horizontal asymptote is y = 0
Now we take each option,
Option (A),
F(x) =
No horizontal asymptote
Vertical asymptote : x = -2
Option (B),
F(x) =
Horizontal asymptotes : y = 0
Vertical asymptotes : x = 5, -2
Option (C),
F(x) =
Vertical asymptote : x = 0
No horizontal asymptote.
Therefore, Function given in Option (B) matches the asymptotes given in the graph.
Option (B) represents the graph.
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Answer:
a) It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.
b) Izzy runs 1.30 miles on dry days.
c) Izzy saves 3 minutes and 12 seconds cutting through the woods.
Step-by-step explanation:
This problem can be solved by a simpe rule of three problem.
a) On rainy days, she runs 1.2 + 0.5 = 1.7 miles.
The problem states that for rainy days, she runs 7.5 miles per hour. We know that in a hour, Izzy will run 7.5 miles. We want to know how long it takes for her to run 1.7 miles. So
1 hour - 7.5 miles
x hours - 1.7 miles
7.5x = 1.7
x = 0.226 hours
It will take Izzy 0.226 hours = 13.6 minutes = 13 minutes 36 seconds to run to school on dashed days.
b) Now we have a right triangle, where the sides are the 1.2 miles and the 0.5miles, and the path through the woods x is the hypotenuse.
So, we apply the pythagorean theorem.
So, Izzy runs 1.30 miles on dry days.
c) The first step for this question is knowing how long it takes for Izzy to run 1.30 miles at 7.50 miles a hour. So:
1 hour - 7.50 miles
x hours = 1.30 miles
7.50x = 1.30
x = 0.173 hours
So, it takes Izzy 0.173 hours = 10.4 minutes = 10 minutes 24 seconds to run through the woods.
13' 36''
-10' 24''
3' 12''
Izzy saves 3 minutes and 12 seconds cutting through the woods.
Answer:
2.- 100
Step-by-step explanation 1:
↑ As we can see, the only common multiple between 4 and 25 that is given to is 100.
Step-by-step explanation 2:
↑ Another way of knowing the answer is by using a fraction solving method. As we can see, the denominator is once again 100.
Hope it helped,
BiologiaMagister