Answer:
Liam's rate = 3 meters per second
Edgar's rate = 3.2 meters per second
Edgar swims faster
Step-by-step explanation:
<u>Liam:</u>
The equation
gives the distance, d, in meters that Liam swims with respect to time, t, in seconds.
When 
When 
Rate of change:

Liam's rate is 3 metres per second.
<u>Edgar:</u>
When 
When 
Rate of change:

Edgar's rate is 3.2 metres per second.
Edgar swims faster.
Step-by-step explanation:
y = 4 when x = 8 So, 4 = 8k
k = 1/2
y = (1/2)x
Therefore, when x = 10, y = (1/2)(10) = 5
Answer:
D. 13
Step-by-step explanation:
well since it's a quadratic equation, it can be written in the form of ax²+bx+c=0. So we have a=1, b=b and c= -30. Also the roots are given by the equation-
x= -b±
/2a. So all I did was put the number from the choices which would satisfy the sqrt part and that turned out to be 13 since
=
= 17. So b=13.
Answer:
412.53 inches
or
11.45916 yards
Step-by-step explanation:
Answer:
B) -125a^11
Step-by-step explanation:
(-5a^2)^3·a^5 = (-5)^3·a^6·a^5
= (-5)^3·a^(2·3)·a^5
= (-5)^3·a^6·a^5
= -125·a^(6+5)
= -125·a^11 . . . . matches choice B
_____
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)