Answer is option C
Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

k is the constant of proportionality
We check with each option and identify which option gives us same K value
(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours
so k = 10
so k = 22.5
K values are not same
(b) 3 mph for 2 hours and 4.5 mph for 3 hours
so k = 6
so k = 13.5
K values are not same
(c) 4 mph for 2.5 hours and 5 mph for 2 hours
so k = 10
so k =10
K values are same .
Answer is option C
Answer: C. 2.889 .
Step-by-step explanation:
To find : A decimal expression equivalent to
.
When we divide 26 by 9 , we get 2.88888888889 which is approximately equal to 2.889 [Round off to the nearest thousandth place]
Hence, the decimal is equivalent to
is 2.889.
Hence, the correct option is C. 2.889 .
<u>Graph 1</u>
coordinates : (0,-5) (-6,-2)
m = (y2-y1)/(x2-x1)
m = (-2-(-5))/(-6-0)
m = 3/-6 = -1/2
Substitute the values,
y = mx + c
-2 = (-1/2)(-6) + c
-2 = 3 + c
c = -5
Thus, equation is y = -1/2x -5
<u>Graph </u><u>2</u>
coordinates : ( 4,-2) (-5,3)
m = (y2-y1)/(x2-x1)
m = (3-(-2))/(-5-4)
m = 5/-9
Substitute the values,
y = mx + c
-2 = (-5/9)(4) + c
-2 = -20/9 + c
c = 2/9
Thus, the equation is y = -5/9 + (2/9)
Hope it helps :)
Hello from MrBillDoesMath!
Answer:
2 - i
Discussion:
Evaluate F(x) = x^3 - 2 x^2 when x = i.
i^2 = -1 for i^3 = i ( i^2) = i (-1) = -i
So F(i) = (i)^3 - 2 (i)^2
= -i - 2(-1)
= -i + 2
= 2 - i
which is the last answer shown
Thank you,
MrB
Answer:
(-3,4) or x = - 3, y = 4
Step-by-step explanation: