Answer:
Step-by-step explanation:
for 6
in a
given
slope(m)=1
point=(2,-4)=(x1,y1)
we know
equation of straight line
y-y1=m(x-x1)
y+4=1(x-2)
y+4=x-2
therefore x-y-6=0 is the required equation
substituting with ax+by+c=0 we get
a=1
b= -1
c= -6
Answer: D) 
Step-by-step explanation:
From the given table we can see that this is not representing a linear function as the rate of change is not constant.
So it can be exponential growth function
, where A is the initial amount , b is the multiplicative rate of growth and n is the time period in weeks.
Now here at n=1 , f(n)=8
Therefore, A=8
Now, for n=2

By substitute the values of A and b in the above equation, we get the equation 
Therefore, the function best shows the relationship between n and f(n) is
, where n is the number of weeks.
Answer:
x = -.5
Step-by-step explanation:
x - 2.5 = -3
Add 2.5 to each side
x - 2.5+2.5 = -3+2.5
x = -.5
Answer:
Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and
respectively.
Step-by-step explanation:
Given that,
For the first 9 holes X:
E(X) = 80
SD(X)=13
For the second 9 holes Y:
E(Y) = 80
SD(Y)=13
For the sum W=X+Y, the following properties holds for means , variance and standard deviation :
E(W)=E(X)+E(Y)
and
V(W)=V(X)+V(Y)
⇒SD²(W)=SD²(X)+SD²(Y) [ Variance = (standard deviation)²]

∴E(W)=E(X)+E(Y) = 80 +80=160
and
∴



Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and
respectively.