A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 64 had a mild allergic reacti
1 answer:
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Answer:
a) t = 4000/v
b) t = 4000/(v + 20)
c) see attached workings
Step-by-step explanation:
a) A man jogs 4 km everyday at an average speed of v m/min
As the speed is measured in <u>meters per minute</u>, we need to convert the distance (4 km) into meters:
1 km = 1000 m
⇒ 4 km = 4 x 1000 = 4000 m
distance = speed x time
⇒ time = distance / speed
⇒ t = 4000/v (where t = time in minutes)
b) If his average speed increased by 20 m/min, then his speed would now be (v + 20) m/min
⇒ t = 4000/(v + 20) (where t = time in minutes)
c) Given the man would take 3 min less if his average speed increased by 20 m/min, we can rewrite the second equation as:
t - 3 = 4000/(v + 20)
Now simply substitute the first equation t = 4000/v into the second:
(I have typed this used MS Word and attached, as the equation editor here in Brainly is not working at the moment).
Using translations, it is found that the equation the represents the graphed function is:
, given by option C.
----------------------------------
- The parent function is
.
- <u>As x increases, it's value increases. In the graph, as x increases, it decreases</u>, thus it was multiplied by -1, that is,
.
- The parent function is defined for
, and the same is valid for the function in the graph, thus we have
and not
.
- The initial value of the parent function is
, here it is
, thus it was shifted down 3 units, that is,
, and the correct option is C.
A similar problem is given at brainly.com/question/17072859
