Answer:
y = 1
Step-by-step explanation:
Passes through (6,-1)(6,-1)
Find the slope (m)
m=(y2 - y1) / (x2 - x1)
m=(-1 - (-1) ) / (6-6)
m= 0
Parallel to x - 3y = 3
-3y = -x +3
y = 1/3 x -1
Equation of the line equation is y - y1 = m ( x - x1 )
y - ( -1 ) = 0 ( x - 6 )
y + 1 = 0
y = 1
Answer:
C) f(x)= 682 • 0.95^x
Step-by-step explanation:
The formula for Exponential Decrease is given as:
y = a(1 - r)^x
Where
y = f(x)
a = Initial size of the population = 682
r = Growth rate = 5% = 0.05
x = Time is years
Therefore, our equation can be written as:
f(x) = 682 × (1 - 0.05)^x
f(x) = 682 × (0.95)^x
Therefore, the exponential function that models this situation x months after the initial month is
option C)
f(x) = 682 • 0.95^x
Answer/Step-by-step explanation:
The scale factor is missing in the question. However, here's how to find the length of the new radius if given a known scale factor.
Length of new radius = length of the radius of the dilated circle × scale factor of dilation
Length of the radius of the dilated circle is given as 18m
Therefore,
Length of new radius = 18m × scale factor.
If the scale factor is a fraction, it means the new length would be smaller than 18m. But if the scale factor is a whole number, the new length of the radius would be greater than 18m.
Let's assume any of the following scale factors was what was given in the question:
<em>*If scale factor given is ½, new radius length = 18m × ½ = 9m</em>
<em>*If scale factor given is 2, new radius length = 18m × 2 = 36m</em>
You add the two numbers and divide by two to get their average, of the number that would be midway (also a midpoint for visualization) between them. Find the least common denominator, which should be 9. Thus, you will multiply both the numerator and denominator of 7/3 by 3 to retain the ratio. You should get 21/9. Now, add 21/9 and 5/9 to get 26/9. That should be your answer, but make it a mixed number so you don't have an improper fraction.
