hello
the points given are (-4, 47) and (2, -16)
let's find the intercept of this equation


now, since we know the value of the slope, we can use that in the standard equation on a straight line
the standard equation of a straight line is given as

we can pick any of the points and solve for intercept
let's use (2, -16)

now we know the value of intercept (c) = 5 and the slope (m) = 21/2
let's use this to write equation of the straight line

from the calculations above, the equation of the straight line is given as y = -21/2x + 5
Answer:
f(g (x))= 32x-18
g (f (x))=32x2+42
Step-by-step explanation:
f (g (x))= 4 (8x-6)+6
32x-24-6
32x-18
g (f (x))= 8(4x2+6)-6
32x2+48-6
32x2+42
Answer:
The required probability is 
Step-by-step explanation:
The probability of obtaining a defective item from container 1 is 
The probability of obtaining a good item from container 1 is 
The probability of obtaining a defective item from container 2 is 
The probability of obtaining a good item from container 2 is 
The cases of the event are
1)Defective item is drawn from container 1 and good item is drawn from container 2
2)Defective item is drawn from container 2 and good item is drawn from container 1
Thus the required probability is the sum of above 2 cases

The answer is 5. You get 5 by added the 6 and 4 together to get 10 and the 2 is lowest you can go so you keep that the same.
Answer:
Step-by-step explanation:
The function y = x² + 16 is positive for any value of x, hence the graph has no intersection with the x-axis and therefore has no real zero's.
If no zero's, -4 also can't be its zero.