1. 12a+6=12a+6
2. 12a+6=12a+2
3. 12a+6=4a+6
4. 12a+6=7a+5
Answer:
2998 ; 17%
Step-by-step explanation:
Given the function:
t(c)=-3970.9(ln c)
c = % of carbon remaining ; t = time
1.) c = 47% = 47/100 = 0.47
t(0.47) = - 3970.9(In 0.47)
t = - 3970.9 * −0.755022
t = 2998.119
t = 2998
B.)
t = 7000
t(c)=-3970.9(ln c)
7000 = - 3970.9(In c)
7000 / - 3970.9 = In c
−1.762824 = In c
c = exp(−1.762824)
c = 0.1715596
c = 0.1715596 * 100%
c = 17.156% ; c = 17%
-4x-3y-9=0
|| m1 = - ( - 4)/-3= - 4/3
_|_ m2 = -1/m1= 3/4
2x+4y-3=0
|| m1= -2/4= -1/2
_|_ m2= 2
12x-y-17=0
|| m1= -12/-1=12
_|_ m2 = -1/12
x-y=0
|| m1= -1/-1=1
_|_ m2= -1
8x - 3y - 2=0
|| m1= -8/-3= 8/3
_|_ m2 = -3/8
-2x + y - 5=0
|| m1= -(-2)/1=2
_|_ m2= -1/2
Slope =(9+3)/(-2-4) = 12/-6 = -2
Y+3 = -2 (×-4) => y=-2×+5
D is the line asked
Slope: -1/3
D: y-6 = -1/3 (×-3) or y= -1/3× + 7
Answer: Our required values would be -10x+5, 2x+5 and -25.
Step-by-step explanation:
Since we have given that
g(x) = -4x+5
and
h(x) = 6x
We need to find (g-h)(x) and (g+h)(x).
So, (g-h)(x) is given by

and (g+h)(x) is given by

and (g-h)(3) is given by

Hence, our required values would be -10x+5, 2x+5 and -25.