Answer:
Function A. <em>nonlinear</em>
Function B. <em>linear</em>
Step-by-step explanation:
Function A is nonlinear because the y values are changing at a nonlinear rate. To get from 0 to 1, the value is increased by 1. However, to get from 1 to 8, it increases by 7, which is different than before.
Function B is linear because the equation models a linear function. You can test this by drawing a table of values similar to Function A:
You can see the y values change at a linear rate of -1 constantly.
Answer:
x = 3√7
Step-by-step explanation:
From the right triangle given in the picture,
Altitude or height of the triangle (AD) = x
Base or hypotenuse of the given triangle (BC) = 16
Length of segment BD = 16 - 7 = 9
By using geometric mean theorem in the given triangle,
(AD)² = (BD)(CD)
x² = 9×7
x = √63
x = 3√7
9x5000 = 9x5thousands
answer: 45,000 (forty-five thousands)
Answer:
It's C, g(x) = (1/2)^x
This is a horizontal reflection of y = 2^x
across the y axis.
Step-by-step explanation:
Using the process of elimination, you can spot this answer by applying what is logical about the transformations of an exponential function.
The transformations of a standard exponential function can be given by:
ab^(1/c(x-h))+k
First note that A must be incorrect because -2^x would be a reflection across the x axis which would not match the function g because a reflection across the x axis would cause the exponential growth or decay value b to become a reciprocal and -2 is not a reciprocal of 2.
