8c+ 6 -3c -2
= (8c -3c)+ (6-2)
= 5c+ 4
The final answer is 5c+4~
Answer:
c=9
d=3
Step-by-step explanation:
We have been asked:
What value of c makes x2 + 6x + c a perfect square trinomial?
c =
If x2 + 6x + c = (x + d)2, then d =
First step we have to do is divide the coefficient of x by 2. The coefficient is 6
6/2 = 3
Now take the square of 3 = 3^2
3^2 = 3*3 =9
The value of c is 9
If x^2 + 6x + c = (x + d)^2, then d =?
Put the value of c in the equation:
x^2+6x+9
Take the square root of 1st and third term. Then the expression can be written as:
x^2+6x+9 = (x+3)^2
Thus the value of d is 3.
If x^2 + 6x + 9 = (x + 3)^2, then d = 3 .....
C.
The negative (-) means that you are losing 17 of something.
in I and II you are also losing 17 things. I you are losing 17 dollars and II you are losing 17 yards. III, however, you are gaining 17 degrees so it is not the answer.
Answer:
a) 2017
b) 0.3371
Step-by-step explanation:
Given:
Population proportion, P= 0.30
a) To find the sample size.
Let's use the expression:
Where,
Margin of error, M.E = 0.02
At confidence interval of 95%, = 0.95
Using Z table, the Z value for probability of 0.975 is 1.96.
Therefore, Substituting values in the formula, we have:
n = 2016.84
≈ 2017
The sample size is approximately 2017.
b) With sample size, n = 2017
Sample mean, X = 680
The point estimate of the proportion of smokers in the population will be calculated using the formula :
The point estimate of the proportion of smokers in the population is 0.3371
