a y-intercept is any point that has an x-value of 0. for example, the ordered pairs (0,6) and (0,-4) would both be considered y-intercepts since any point with an x-value of 0 overlaps with the y-axis.
3 - 1 = 2
1/4 - 3/16 = 4/16 - 3/16 = 1/16
answer is : 2 1/16 (in mixed number) or 33/16 (in improper fraction)
Answer:
quadrilateral ABCD is not congruent to quadrilateral KLMN. quadrilateral ABCD cannot be mapped onto quadrilateral KLMN through a series of rotations, reflections or translations.
Exponential change can be modeled by:
N = N(0) x λⁿ; where λ is the rate of change. It is greater than 1 when there is growth and less than 1 when there is decay. n is the number of time periods passed.
λ is 1 + 0.083 = 1.083
N(0) is the initial value of 750
n is 2050 - 2005 = 45 years
N = 750 x (1.083)⁴⁵
= 27,000 fish
Given the function f (x) = 3x, find the value of f-1 (81).
For this case, the first thing you should do is rewrite the function.
We have then:
y = 3 ^ x
From here, we clear the value of x:
log3 (y) = log3 (3 ^ x)
log3 (y) = x
Then, we rewrite the function again:
f (x) ^ - 1 = log3 (x)
Now, we evaluate the inverse function for x = 81:
f (81) ^ - 1 = log3 (81)
f (x) ^ - 1 = 4
Answer:
the value of f-1 (81) is:
f (x) ^ - 1 = 4
