Answer: ![a = -2](https://tex.z-dn.net/?f=a%20%3D%20-2)
![b = 8](https://tex.z-dn.net/?f=b%20%3D%208)
Step-by-step explanation:
Given :
![x^{2} +ax](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2Bax%3Cb)
re - writing the equation , we have
![x^{2} +ax-b](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2Bax-b%3C0)
we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.
The formula for finding the quadratic equation when the roots are known is :
- sum of roots(x) + product of root = 0
sum of roots = -2 + 4 = 2
product of roots = -2 x 4 = -8
substituting into the formula , we have:
, which could be written in inequality form as
![x^{2} -2x-8](https://tex.z-dn.net/?f=x%5E%7B2%7D%20-2x-8%3C0)
comparing with
, it means that :
![a = -2](https://tex.z-dn.net/?f=a%20%3D%20-2)
![b = 8](https://tex.z-dn.net/?f=b%20%3D%208)
Answer:
D
Step-by-step explanation:
Let x = total number of basketball games that was played by the team this season.
Alon started in 60% of his team’s basketball games this season. This means that he started in a total number of 60 percent of x basketball games this season.
60% of x basketball games this season = 60/100 × x
= 0.6×x = 0.6x
From the information given, Alon started a total of 12 basketball games this season. Therefore,
0.6x = 12
x = 12/0.6 = 20
Use proportions
78cm / 38cm =. X/290cm
Remember it says 29m so it is 290 in cm