Answer:
i think its 3
Step-by-step explanation:
thats the only one where the reflection is on the correct axis
Answer:
![f(x) = 15x^2 -14x - 8](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%2015x%5E2%20-14x%20-%208)
![g(x) = 5x + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%205x%20%2B%202)
Step-by-step explanation:
<em>Represent the two polynomials with f(x) and g(x)</em>
<em>The question requires that we assume values for f(x) and g(x) as long as the condition in the question is met;</em>
Let
![f(x) = 15x^2 -14x - 8](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%2015x%5E2%20-14x%20-%208)
![g(x) = 5x + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%205x%20%2B%202)
To determine if the condition is met, we need to divide f(x) by g(x)
![\frac{f(x)}{g(x)} = \frac{15x^2 -14x - 8}{5x + 2}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%3D%20%5Cfrac%7B15x%5E2%20-14x%20-%208%7D%7B5x%20%2B%202%7D)
Factorize the numerator
![\frac{f(x)}{g(x)} = \frac{15x^2 - 20x + 6x - 8}{5x + 2}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%3D%20%5Cfrac%7B15x%5E2%20-%2020x%20%2B%206x%20-%208%7D%7B5x%20%2B%202%7D)
![\frac{f(x)}{g(x)} = \frac{(5x + 2)(3x - 4)}{5x + 2}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%3D%20%5Cfrac%7B%285x%20%2B%202%29%283x%20-%204%29%7D%7B5x%20%2B%202%7D)
Cross out 5x + 2
![\frac{f(x)}{g(x)} = 3x - 4](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%3D%203x%20-%204)
The result is referred to as quotient, Q
![Q = 3x - 4](https://tex.z-dn.net/?f=Q%20%3D%203x%20-%204)
<em>Note that Q and g(x) have the same degree of 1</em>
Answer:
25
Step-by-step explanation:
Answer:
(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.
Step-by-step explanation:
Here, H(t) is the height after the t minutes of time.
Given :
H'(7.5) = 15.708 meters / minute
H'(t) = ![$\frac{d(H(t))}{dt}$](https://tex.z-dn.net/?f=%24%5Cfrac%7Bd%28H%28t%29%29%7D%7Bdt%7D%24)
= rate of change of the height
So, here, H'(t) = rate of change of height
Therefore, H'(7.5) = 15.708 meters / minute
It shows that the passenger's height is increasing at rate 15.708 meters per minute at time t = 7.5 minutes after the ride begins.
Answer:
It provides different and sometimes opposing viewpoints about an event.