Answer:
7. -
a. 3.5 or 7/2 hours
b. 24.5
c. After 7 hours (and at the beginning when t=0)
8. -
a. 4 seconds
b. 1 second
c. 54 meters
Step-by-step explanation:
7. M(t)=-2t^2+14t
M’(t)=-4t+14
a)
-4t+14=0
4t=14
2t=7
t=7/2
b) M(7/2)=24.5
c)
M(t)=0
-2t^2+14t=0
t^2-7t=0
t(t-7)=0
t=0, 7
8.
a)
h(t)=0
-6t^2+12t+48=0
t^2-2t-8=0
(t-4)(t+2)=0
t=-2, 4
t=4
b)
h(t)=-6t^2+12t+48
h’(t)=-12t+12
h’(t)=0
-12t+12=0
12t=12
t=1
c) h(1)=54
I hope this helps; please vote brainliest!
Answer:
Hello,
10,070
Step-by-step explanation:
100% - 12% = 88% = 0.88
28,000 x 0.88^8 = 10,069.76...
Answer:
13
Step-by-step explanation:
To find the range substitute the value of x from the domain into the equation.
x = - 2 : y = -5(- 2) + 3 = 10 + 3 = 13
x = 0 : y = - 5(0) + 3 = 0 + 3 = 3
x = 1 : y = - 5(1) + 3 = - 5 + 3 = - 2
x = 3 : y = - 5(3) + 3 = - 15 + 3 = - 12
range is { - 12, - 2, 3, 13 }
with greatest value in the range being 13
Answer:
first find the common factors of 18,26 and 72.
18: 1,2,3,6,9,18
26: 1,2,13,26
72: 1,2,3,4,6,8,12,18,24,36,72
next, find the common factors which can divide all numbers: 2
then find the highest factor which can divide all numbers. in this case, we only have one factor which is 2 and that shall be the H.C.F.
Answer:
Step-by-step explanation:
by putting 4=6/ax+5
