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:
25
Step-by-step explanation:
When you substitute x for 3, the new equation would be ; 3(3)(2) - 2(3) + 13
using order of operations from left to right, you would start by multiplying
3(3)(2) and 3(3) is 9, and 9(2) is 18. The next step is to multiply 2 and 3 which is 6. Once you have both groups of numbers simplified, you can plug them back in : 18 - 6 + 13 ; 18 - 6 is 12, and 12 + 13 is 25, so the answer is 25.
Answer:
<em>- 112 + 100 n</em>
Step-by-step explanation:
= 
+ (n - 1 )d
~~~~~~~
= - 12
d = 100
= - 12 + 100( n - 1 )
= - 12 + 100n - 100
<em>= - 112 + 100 n</em>
F(-1)
replace all x with -1
f(-1)=-3(-1)^2+2(-1)-7
f(-1)=-3(1)-2-7
f(-1)=-3-9
f(-1)=-12
