Repeated subtraction is a method of subtracting the equal number of items from a larger group. It is also known as division. If the same number is repeatedly subtracted from another larger number until the remainder is zero or a number smaller than the number being subtracted, we can write that in the form of division
a. Use the mean value theorem. 16 falls between 12 and 20, so
(Don't forget your units - 5 m/min^2)
b. 
gives the Johanna's velocity at time 
. The magnitude of her velocity, or speed, is 
. Integrating this would tell us the total distance she has traveled whilst jogging.
The Riemann sum approximates the integral as
If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of is determined by the value of at each sample point, 200, 240, |-220| = 220, and 150.
c. Bob's velocity is given by 
, so his acceleration is given by 
. We have
and at 
his acceleration is 
m/min^2.
d. Bob's average velocity over [0, 10] is given by the difference quotient,
m/min
<span>regular pentagon sum of interior = (5 - 2) x 180 = 3 x 180 = 540
so
x = 540 / 5 = 108
180 - 108 = 72
y = 72/2 = 36
z = 180 - 90 - 36
z = 54
answer
x = 108, y = 36 and z = 54</span>
Answer:
y=−2x+4
Step-by-step:
2y+4x=8
Step 1: Add -4x to both sides.
4x+2y+−4x=8+−4x
2y=−4x+8
Step 2: Divide both sides by 2.
2y
/2
=
−4x+8
/2
y=−2x+4
<span>2d – e = 7 </span>
<span>d + e = 5 </span>
<span>3d=12 </span>
<span>d=4 </span>
