Answer:
f(g(x)) = x² - 5x +4
Step-by-step explanation:
<u><em>Explanation</em></u>
Given that the functions
f(x) = x² + 3 x and g(x) = x-4
f(g(x)) = f(x -4) (∵ g(x) = x-4)
= (x-4)² + 3(x-4)
= x² - 2(4)x + 4² + 3x -12
= x² - 8 x + 16 + 3x -12
= x² - 5x +4
∴ f(g(x)) = x² - 5x +4
X must be increased by 6 to get its value to be 0. Then the corresponding change in y will be (-2/3)*6 = -4. That value added to -5 makes it -9.
The y-intercept will be -9.
In the equation given, the Distributive Property is being demonstrated.
If Carly broke the record by 1.3 seconds and Carly's time was 55.7 the old record would be Carly's time plus 1.3 seconds for the time that Carly broke the record by, so... 57 seconds was the old record
Answer:
-1.9
Step-by-step explanation:
I rounded it to the tenth