Answer:
4
Step-by-step explanation:
37 times 3 is 111 and since there are 30 pencils in each box they would need 4 boxes which gives them 120 pencils.
Answer:
m = -6
Step-by-step explanation:
The slope of a line is calculated as the change in y divided by the change in x.
Teachers use the phrase "rise over run". In this case the rise is negative as the line moves from a higher y value to a lower y value as x increases.
(y-final - y-initial)/(x-final - x-initial)
You are given two points on the line and just plug them in.
(1-7)/(7-6) = -6/1 = -6
Answer:
a) 48
b) 64
c) 80
d) 96-16h
Step-by-step explanation:
a) s(1)=112 and s(4)=256
average velocity on [1,4] = (256-112)/(4-1) = 48
b) s(1)=112 and s(3)=240
average velocity on [1,3] = (240-112)/(3-1) = 64
c) s(1)=112 and s(2)=192
average velocity on [1,2] = (192-112)/(2-1) = 80
the next one's tricky to type. watch the parentheses carefully:
d) s(1)=112 and s(1+h)= -16(1+h)^2 + 128(1+h)
average velocity on [1,1+h] =
(s(1+h) - s(1))/((1+h)-1) = (-16(1+h)^2 +128(1+h) - (112))/h
= (-16(1+2h+h^2)+128+128h - 112)/h
= ( -16 -32h -16h^2 + 16 + 128h)/h
= ( 96h - 16 h^2)/h
= 96 - 16h
why is 6/7 subtract 1/3 closer to 1/2 than 2/15 add 1/3