we are given
![y=3x^2+7x+m](https://tex.z-dn.net/?f=%20y%3D3x%5E2%2B7x%2Bm%20)
To find x-intercept means we have to find zeros
and for finding zeros , we will use quadratic formula
and we have it has two x-intercepts
so, it's discriminant must be greater than 0
so, we will find discriminant
![D=\sqrt{b^2-4ac}](https://tex.z-dn.net/?f=%20D%3D%5Csqrt%7Bb%5E2-4ac%7D%20%20)
now, we can compare with
![y=ax^2+bx+c](https://tex.z-dn.net/?f=%20y%3Dax%5E2%2Bbx%2Bc%20)
![y=3x^2+7x+m](https://tex.z-dn.net/?f=%20y%3D3x%5E2%2B7x%2Bm%20)
and then we can find a , b and c
![a=3,b=7,c=m](https://tex.z-dn.net/?f=%20a%3D3%2Cb%3D7%2Cc%3Dm%20)
now, we can find D
![D=\sqrt{7^2-4*3*m}](https://tex.z-dn.net/?f=%20D%3D%5Csqrt%7B7%5E2-4%2A3%2Am%7D%20%20)
![D=\sqrt{49-12m}](https://tex.z-dn.net/?f=%20D%3D%5Csqrt%7B49-12m%7D%20%20)
It has two x-intercepts
so,
![D=\sqrt{49-12m}>0](https://tex.z-dn.net/?f=%20D%3D%5Csqrt%7B49-12m%7D%3E0%20%20)
now, we can solve for m
![49-12m>0](https://tex.z-dn.net/?f=%2049-12m%3E0%20%20)
![12m](https://tex.z-dn.net/?f=%2012m%3C49%20%20)
............Answer
42-30= 12, 12x42=504s until they change at the same time. 504-10= 494s from 10s ago
If you would like to solve the equation x/3 = x/2 - 2 for x, you can do this using the following steps:
<span>x/3 = x/2 - 2 /*6
</span>2x = 3x - 2 * 6
2x = 3x - 12
2x - 3x = -12
-x = -12
x = 12
The correct result would be x = 12.
Answer:
The population in 4 years will be 33,000.
Step-by-step explanation:
I got this because 8% of 25,000 is 2,000 so what this mean is that in one year the population increase by 2,000 since the question ask for 4 years, 4x 2,000 = 8,000, so in 4 year the population increase by 8,000 making the population 33,000 because before the 4 years the population was already 25,000 and in the 4 years the 8,000 more people come making the population then 33,000.
5/8 = x/72 where x is the perimeter of the smaller rectangle.
8x = 5 * 72
x = 5 * 9
x = 45