To find midpoint, we find the average or median of the two x terms and the average of the two y terms to find the right coordinate point. In this case, the average of -2 and 6 is 2, and the mean of 4 and -4 is 0, so the new coordinate point is (2,0).
Let x = pounds of $12 per pound coffee
then
20-x = pounds of $9 per pound coffee
.
12x + 9(20-x) = 10(20)
12x + 180 - 9x = 200
3x + 180 = 200
3x = 20
x = 20/3
x = 6 and 2/3 pounds of $12 per pound coffee
.
Amount of $9 per pound coffee:
20-x = 20-20/3 = 60/3 - 20/3 = 40/3
or
13 and 1/3 pounds of $9 per pound coffee
The answer for this question is 65.099 or when round off to two decimal places, it will be 65.10
Answer:
Option d
Step-by-step explanation:
given that a, b, c, and d be non-zero real numbers.

we can factorise this equation by grouping

Equate each factor to 0 to get

Ratio of one solution to another would be

So ratio would be ad/bc
Out of the four options given, option d is equal to this
So option d is right
Given:
The table of values of an exponential function.
To find:
The decay factor of the exponential function.
Solution:
The general form of an exponential function is:
...(i)
Where, a is the initial value and
is the decay factor and
is the growth factor.
The exponential function passes through the point (0,6). Substituting
in (i), we get



The exponential function passes through the point (1,2). Substituting
in (i), we get




Here,
lies between 0 and 1. Therefore, the decay factor of the given exponential function is
.
Hence, the correct option is A.