Answer:
The number of seniors who scored above 96% is 1.
Step-by-step explanation:
Consider the provided information.
Two percent of all seniors in a class of 50 have scored above 96% on an ext exam.
Now we need to find the number of seniors who scored above 96%
For this we need to find the two percent of 50.
2% of 50 can be calculated as:
![\frac{2}{100}\times50](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B100%7D%5Ctimes50)
![\frac{100}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B100%7D%7B100%7D)
![1](https://tex.z-dn.net/?f=1)
Hence, the number of seniors who scored above 96% is 1.
80% of 20 is 80/100 x 20 = 16
So, kelly has used 16 stamps, and has 4 left
no. the percentage of change can be a negative number as well as a positive number.
Answer:
(0,6),(-2,0)
Step-by-step explanation:
The given equation are;
![y=x^2+5x+6](https://tex.z-dn.net/?f=y%3Dx%5E2%2B5x%2B6)
and
![y=3x+6](https://tex.z-dn.net/?f=y%3D3x%2B6)
We equate both equations to get;
![x^2+5x+6=3x+6](https://tex.z-dn.net/?f=x%5E2%2B5x%2B6%3D3x%2B6)
Regroup all terms on the left hand side to obtain;
![x^2+5x-3x+6-6=0](https://tex.z-dn.net/?f=x%5E2%2B5x-3x%2B6-6%3D0)
![x^2+2x=0](https://tex.z-dn.net/?f=x%5E2%2B2x%3D0)
Factor;
![x(x+2)=0](https://tex.z-dn.net/?f=x%28x%2B2%29%3D0)
![x=0,x+2=0](https://tex.z-dn.net/?f=x%3D0%2Cx%2B2%3D0)
![x=0,x=-2](https://tex.z-dn.net/?f=x%3D0%2Cx%3D-2)
We can put the values of x into any of equations preferably the linear equation to get;
, when x=0.
and
, when x=-2.
The solutions are
(0,6),(-2,0)
Answer ; -1/2
when expanded
5-8a-2+3a=13
5a=3-13
a=-5/10
a= -1/2