Answer:
a) 5.13beats/min
b) 2.82 beats/min
Step-by-step explanation:
Given the pulse rate of a person modelled by the equation y = 600x^-1/3 for 30≤x≤75
If the height is 39inches, the instantaneous rate of change of pulse rate for the heights will be expressed as;
y = 600(39)^-1/3
y = {600(1/39)}/3
y = 600/39×3
y = 600/117
y ≈ 5.13beats/min
The instantaneous rate for a 39 inches tall person is 5.13 beats per min
b) For a 71inches tall person, the beat rate will be expressed as;
y = 600(71)^-1/3
y = {600(1/71)}/3
y = 600/71×3
y = 600/213
y ≈ 2.82 beats per minute
The instantaneous rate for a 71 inches tall person is 2.82 beats per min
Answer: (‑(15*x))+39
Step-by-step explanation:
Answer:
Triangles ABC and MNO are similar by SSS
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional
In this problem
If this problem the corresponding sides are
AB and MN
BC and NO
AC and MO
Verify if the corresponding sides are proportional

substitute the given values

----- is true
so
When two triangles have corresponding sides with identical ratios , the triangles are similar by SSS Similarity
therefore
Triangles ABC and MNO are similar by SSS
Answer:
(x+6)(x+2) is the factored equation
(-6, -2) is the coordinates
Step-by-step explanation:
find what multiplies to be 12 and adds to be 8
set each factor equal to 0 and solve for x, which is the coordinates