First term = (2)5^(-2*1) =2/25
2nd term = (2)5^(-2*2) = 2/ 625
3rd term = 2(5)^(-2*3) = 2/ 15625
If we divide the 3rd term by the 2nd term or the 2nd term by the first we get the common ratio
Common ratio = 1/25 or 0.04 as a decimal fraction.
Answer;
The answer is the second; log ₁₂1/4
Explanation;
From the laws of logarithms, given an expression in the form;
Log ₓ y, where x is the base and y is the number, we can apply the change of base formula to a logarithmic expression to get;
Log y/log x, which are to base 10
Thus; Log₁₂1/4 = log 1/4/ log 12
Answer:
A) 
, 
, 
, 
B) 2.53, 32.51, 514.37
Step-by-step explanation:
A) Multiply all of them to equal 80
1/2 = 40/80 (1 x 40) (2 x 40)
2/5 = 32/80 (2 x 16) (5 x 16)
3/8 = 30/80 (3 x 10) (8 x 10)
7/10 = 56/80 (7 x 8) (10 x 8)
B) Decimals are easy 1.10 < 1.20 since one is still greater than the other.
Answer:
A. 3
Step-by-step explanation:
You can see that the y-values are increasing by 3.
Slope = Rise/Run
So if you rise 3 and run 1, you have 3/1 which is 3.
Answer:
y = (3/4)x - 9
Step-by-step explanation:
The slope-intercept form of the equation of a straight line is y = mx + b.
Here we know x, y and m, but must find b.
Substituting 8 for x, -3 for y and 3/4 for m in the equation above results in:
-3 = (3/4)(8) + b, or (after multiplying all three terms by 4 to clear fractions):
-3 = 6 + b
Then b = -9, and the desired equation is y = (3/4)x - 9
