Answer:
x = 30 degrees
Step-by-step explanation:
Since the lines are parallel, these angles can be seen as vertical angles, which are always the same as their opposite. Therefore,
75 = 2x + 15
To solve this, you would subtract 15 from both sides, getting you closer to finding x.
75 = 2x + 15
-15 - 15
60 = 2x
Lastly, you would divide both sides to get your value for x.
60 = 2x
/2 /2
30 = x
-3x^2+10x-3
This is of the form ax^2+bx+c. We need to find two values, j and k, such that:
jk=ac=9 and j+k=b=10, so j and k must be 1 and 9.
Now replace bx with jx and kx in the original equation...
-3x^2+x+9x-3 now factor 1st and 2nd pair of terms
-x(3x-1)+3(3x-1)
(-x+3)(3x-1) or equivalently...
-(x-3)(3x-1) or as they put it:
-(3x-1)(x-3)
Answer:
I think it is A. This image shows a rectangular grid divided in two parts by a vertical line above which number 250 is written in centre. Left side has 182 and right side has question mark.
Answer: the first one is 14 and the second one is 5
Step-by-step explanation:
It is given that the bacteria in a colony doubles every 8 hours.
To find the population of bacteria 24 hours from now, we need to find the population of bacteria after every 8 hours.
The present population of the bacteria is 9315.
After 8 hours, the bacteria becomes double. So, the number of bacteria becomes 9315 x 2 = 18630.
Again after 8 hours, the bacteria becomes 18630 x 2 = 37260.
Again after 8 hours, the bacteria becomes 37260 x 2 = 74520.
Thus, after 24 hours from now, the population of the bacteria is 74520.
