Answer:
81 ............................
Answer:
24%
Step-by-step explanation:
48/248*100
=24%
original 248
new. 200
difference 48
Answer:
The possible values are a = -2.5 or a = 4.5.
Step-by-step explanation:
Composite function:
The composite function of f(x) and g(x) is given by:
![(f \circ g)(x) = f(g(x))](https://tex.z-dn.net/?f=%28f%20%5Ccirc%20g%29%28x%29%20%3D%20f%28g%28x%29%29)
In this case:
![f(x) = 4x^2 - 8x - 20](https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%5E2%20-%208x%20-%2020)
![g(x) = 2x + a](https://tex.z-dn.net/?f=g%28x%29%20%3D%202x%20%2B%20a)
So
![(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20](https://tex.z-dn.net/?f=%28f%20%5Ccirc%20g%29%28x%29%20%3D%20f%28g%28x%29%29%20%3D%20f%282x%20%2B%20a%29%20%3D%204%282x%20%2B%20a%29%5E2%20-%208%282x%20%2B%20a%29%20-%2020%20%3D%204%284x%5E2%20%2B%204ax%20%2B%20a%5E2%29%20-%2016x%20-%208a%20-%2020%20%3D%2016x%5E2%20%2B%2016ax%20%2B%204a%5E2%20-%2016x%20-%208a%20-%2020%20%3D%2016x%5E2%20%2B%2816a-16%29x%20%2B%204a%5E2%20-%208a%20-%2020)
Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).
This means that when
. So
![4a^2 - 8a - 20 = 25](https://tex.z-dn.net/?f=4a%5E2%20-%208a%20-%2020%20%3D%2025)
![4a^2 - 8a - 45 = 0](https://tex.z-dn.net/?f=4a%5E2%20-%208a%20-%2045%20%3D%200)
Solving a quadratic equation, by Bhaskara:
![\Delta = (-8)^2 - 4(4)(-45) = 784](https://tex.z-dn.net/?f=%5CDelta%20%3D%20%28-8%29%5E2%20-%204%284%29%28-45%29%20%3D%20784)
![x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20%5Cfrac%7B-%28-8%29%20%2B%20%5Csqrt%7B784%7D%7D%7B2%2A%284%29%7D%20%3D%20%5Cfrac%7B36%7D%7B8%7D%20%3D%204.5)
![x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%20%5Cfrac%7B-%28-8%29%20-%20%5Csqrt%7B784%7D%7D%7B2%2A%284%29%7D%20%3D%20-%5Cfrac%7B20%7D%7B8%7D%20%3D%20-2.5)
The possible values are a = -2.5 or a = 4.5.
Answer:
i think it's 15%
Step-by-step explanation:
10% of 140 is 14 so just add 14 to 140
140+14=154.